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root/group/trunk/matt_papers/original_proposal/original_proposal.ps
Revision: 59
Committed: Tue Jul 30 18:57:05 2002 UTC (22 years, 1 month ago) by mmeineke
Content type: application/postscript
File size: 189719 byte(s)
Log Message:
This commit was generated by cvs2svn to compensate for changes in r58, which
included commits to RCS files with non-trunk default branches.

File Contents

# User Rev Content
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281     /PaintType 0 def
282     /FontType 1 def
283     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
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287     dup 47 /proportional put
288     dup 72 /H put
289     dup 80 /P put
290     readonly def
291     /FontBBox{-29 -960 1116 775}readonly def
292     /UniqueXX 5000820 def
293     currentdict end
294     currentfile eexec
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341     cleartomark
342    
343     %%EndFont
344     %%BeginFont: CMMI6
345     %!PS-AdobeFont-1.1: CMMI6 1.100
346     %%CreationDate: 1996 Jul 23 07:53:52
347    
348     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
349    
350     11 dict begin
351     /FontInfo 7 dict dup begin
352     /version (1.100) readonly def
353     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
354     /FullName (CMMI6) readonly def
355     /FamilyName (Computer Modern) readonly def
356     /Weight (Medium) readonly def
357     /ItalicAngle -14.04 def
358     /isFixedPitch false def
359     end readonly def
360     /FontName /CMMI6 def
361     /PaintType 0 def
362     /FontType 1 def
363     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
364     /Encoding 256 array
365     0 1 255 {1 index exch /.notdef put} for
366     dup 66 /B put
367     dup 73 /I put
368     readonly def
369     /FontBBox{11 -250 1241 750}readonly def
370     /UniqueXX 5087381 def
371     currentdict end
372     currentfile eexec
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424     cleartomark
425    
426     %%EndFont
427     %%BeginFont: CMEX10
428     %!PS-AdobeFont-1.1: CMEX10 1.00
429     %%CreationDate: 1992 Jul 23 21:22:48
430    
431     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
432    
433     11 dict begin
434     /FontInfo 7 dict dup begin
435     /version (1.00) readonly def
436     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
437     /FullName (CMEX10) readonly def
438     /FamilyName (Computer Modern) readonly def
439     /Weight (Medium) readonly def
440     /ItalicAngle 0 def
441     /isFixedPitch false def
442     end readonly def
443     /FontName /CMEX10 def
444     /PaintType 0 def
445     /FontType 1 def
446     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
447     /Encoding 256 array
448     0 1 255 {1 index exch /.notdef put} for
449     dup 18 /parenleftbigg put
450     dup 19 /parenrightbigg put
451     dup 20 /bracketleftbigg put
452     dup 21 /bracketrightbigg put
453     dup 32 /parenleftBigg put
454     dup 33 /parenrightBigg put
455     dup 88 /summationdisplay put
456     dup 90 /integraldisplay put
457     readonly def
458     /FontBBox{-24 -2960 1454 772}readonly def
459     /UniqueXX 5000774 def
460     currentdict end
461     currentfile eexec
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542     cleartomark
543    
544     %%EndFont
545     %%BeginFont: CMMI8
546     %!PS-AdobeFont-1.1: CMMI8 1.100
547     %%CreationDate: 1996 Jul 23 07:53:54
548    
549     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
550    
551     11 dict begin
552     /FontInfo 7 dict dup begin
553     /version (1.100) readonly def
554     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
555     /FullName (CMMI8) readonly def
556     /FamilyName (Computer Modern) readonly def
557     /Weight (Medium) readonly def
558     /ItalicAngle -14.04 def
559     /isFixedPitch false def
560     end readonly def
561     /FontName /CMMI8 def
562     /PaintType 0 def
563     /FontType 1 def
564     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
565     /Encoding 256 array
566     0 1 255 {1 index exch /.notdef put} for
567     dup 59 /comma put
568     dup 66 /B put
569     dup 73 /I put
570     dup 78 /N put
571     dup 84 /T put
572     dup 86 /V put
573     dup 106 /j put
574     dup 107 /k put
575     readonly def
576     /FontBBox{-24 -250 1110 750}readonly def
577     /UniqueXX 5087383 def
578     currentdict end
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670     %!PS-AdobeFont-1.1: CMMI10 1.100
671     %%CreationDate: 1996 Jul 23 07:53:57
672    
673     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
674    
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677     /version (1.100) readonly def
678     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
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681     /Weight (Medium) readonly def
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684     end readonly def
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829     cleartomark
830    
831     %%EndFont
832     %%BeginFont: CMTI10
833     %!PS-AdobeFont-1.1: CMTI10 1.00B
834     %%CreationDate: 1992 Feb 19 19:56:16
835    
836     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
837    
838     11 dict begin
839     /FontInfo 7 dict dup begin
840     /version (1.00B) readonly def
841     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
842     /FullName (CMTI10) readonly def
843     /FamilyName (Computer Modern) readonly def
844     /Weight (Medium) readonly def
845     /ItalicAngle -14.04 def
846     /isFixedPitch false def
847     end readonly def
848     /FontName /CMTI10 def
849     /PaintType 0 def
850     /FontType 1 def
851     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
852     /Encoding 256 array
853     0 1 255 {1 index exch /.notdef put} for
854     dup 44 /comma put
855     dup 46 /period put
856     dup 48 /zero put
857     dup 49 /one put
858     dup 50 /two put
859     dup 51 /three put
860     dup 52 /four put
861     dup 53 /five put
862     dup 54 /six put
863     dup 55 /seven put
864     dup 56 /eight put
865     dup 57 /nine put
866     dup 58 /colon put
867     dup 59 /semicolon put
868     dup 66 /B put
869     dup 67 /C put
870     dup 69 /E put
871     dup 74 /J put
872     dup 76 /L put
873     dup 77 /M put
874     dup 80 /P put
875     dup 82 /R put
876     dup 83 /S put
877     dup 85 /U put
878     dup 97 /a put
879     dup 99 /c put
880     dup 100 /d put
881     dup 101 /e put
882     dup 102 /f put
883     dup 103 /g put
884     dup 104 /h put
885     dup 105 /i put
886     dup 108 /l put
887     dup 109 /m put
888     dup 110 /n put
889     dup 111 /o put
890     dup 112 /p put
891     dup 114 /r put
892     dup 115 /s put
893     dup 116 /t put
894     dup 117 /u put
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896     dup 119 /w put
897     dup 121 /y put
898     readonly def
899     /FontBBox{-163 -250 1146 969}readonly def
900     /UniqueXX 5000828 def
901     currentdict end
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1219     cleartomark
1220    
1221     %%EndFont
1222     %%BeginFont: CMR8
1223     %!PS-AdobeFont-1.1: CMR8 1.0
1224     %%CreationDate: 1991 Aug 20 16:39:40
1225    
1226     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
1227    
1228     11 dict begin
1229     /FontInfo 7 dict dup begin
1230     /version (1.0) readonly def
1231     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
1232     /FullName (CMR8) readonly def
1233     /FamilyName (Computer Modern) readonly def
1234     /Weight (Medium) readonly def
1235     /ItalicAngle 0 def
1236     /isFixedPitch false def
1237     end readonly def
1238     /FontName /CMR8 def
1239     /PaintType 0 def
1240     /FontType 1 def
1241     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
1242     /Encoding 256 array
1243     0 1 255 {1 index exch /.notdef put} for
1244     dup 44 /comma put
1245     dup 48 /zero put
1246     dup 49 /one put
1247     dup 50 /two put
1248     dup 51 /three put
1249     dup 52 /four put
1250     dup 53 /five put
1251     dup 54 /six put
1252     dup 55 /seven put
1253     dup 56 /eight put
1254     dup 57 /nine put
1255     dup 61 /equal put
1256     readonly def
1257     /FontBBox{-36 -250 1070 750}readonly def
1258     /UniqueXX 5000791 def
1259     currentdict end
1260     currentfile eexec
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1363     %%CreationDate: 1992 Feb 19 19:54:52
1364    
1365     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
1366    
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1369     /version (1.00B) readonly def
1370     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
1371     /FullName (CMR10) readonly def
1372     /FamilyName (Computer Modern) readonly def
1373     /Weight (Medium) readonly def
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1953     cleartomark
1954    
1955     %%EndFont
1956     %%BeginFont: CMBX12
1957     %!PS-AdobeFont-1.1: CMBX12 1.0
1958     %%CreationDate: 1991 Aug 20 16:34:54
1959    
1960     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
1961    
1962     11 dict begin
1963     /FontInfo 7 dict dup begin
1964     /version (1.0) readonly def
1965     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
1966     /FullName (CMBX12) readonly def
1967     /FamilyName (Computer Modern) readonly def
1968     /Weight (Bold) readonly def
1969     /ItalicAngle 0 def
1970     /isFixedPitch false def
1971     end readonly def
1972     /FontName /CMBX12 def
1973     /PaintType 0 def
1974     /FontType 1 def
1975     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
1976     /Encoding 256 array
1977     0 1 255 {1 index exch /.notdef put} for
1978     dup 49 /one put
1979     dup 50 /two put
1980     dup 51 /three put
1981     dup 52 /four put
1982     dup 66 /B put
1983     dup 71 /G put
1984     dup 77 /M put
1985     dup 80 /P put
1986     dup 82 /R put
1987     dup 83 /S put
1988     dup 97 /a put
1989     dup 99 /c put
1990     dup 100 /d put
1991     dup 101 /e put
1992     dup 102 /f put
1993     dup 103 /g put
1994     dup 104 /h put
1995     dup 107 /k put
1996     dup 108 /l put
1997     dup 109 /m put
1998     dup 110 /n put
1999     dup 111 /o put
2000     dup 112 /p put
2001     dup 114 /r put
2002     dup 115 /s put
2003     dup 116 /t put
2004     dup 117 /u put
2005     dup 121 /y put
2006     readonly def
2007     /FontBBox{-53 -251 1139 750}readonly def
2008     /UniqueXX 5000769 def
2009     currentdict end
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2189    
2190     %%EndFont
2191     %%BeginFont: CMR12
2192     %!PS-AdobeFont-1.1: CMR12 1.0
2193     %%CreationDate: 1991 Aug 20 16:38:05
2194    
2195     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
2196    
2197     11 dict begin
2198     /FontInfo 7 dict dup begin
2199     /version (1.0) readonly def
2200     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
2201     /FullName (CMR12) readonly def
2202     /FamilyName (Computer Modern) readonly def
2203     /Weight (Medium) readonly def
2204     /ItalicAngle 0 def
2205     /isFixedPitch false def
2206     end readonly def
2207     /FontName /CMR12 def
2208     /PaintType 0 def
2209     /FontType 1 def
2210     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
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2215     dup 48 /zero put
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2227     dup 78 /N put
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2244     dup 115 /s put
2245     dup 116 /t put
2246     dup 118 /v put
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2249     readonly def
2250     /FontBBox{-34 -251 988 750}readonly def
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2471    
2472     %%EndFont
2473     %%BeginFont: CMR17
2474     %!PS-AdobeFont-1.1: CMR17 1.0
2475     %%CreationDate: 1991 Aug 20 16:38:24
2476    
2477     % Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
2478    
2479     11 dict begin
2480     /FontInfo 7 dict dup begin
2481     /version (1.0) readonly def
2482     /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
2483     /FullName (CMR17) readonly def
2484     /FamilyName (Computer Modern) readonly def
2485     /Weight (Medium) readonly def
2486     /ItalicAngle 0 def
2487     /isFixedPitch false def
2488     end readonly def
2489     /FontName /CMR17 def
2490     /PaintType 0 def
2491     /FontType 1 def
2492     /FontMatrix [0.001 0 0 0.001 0 0] readonly def
2493     /Encoding 256 array
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2519     readonly def
2520     /FontBBox{-33 -250 945 749}readonly def
2521     /UniqueXX 5000795 def
2522     currentdict end
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2686     TeXDict begin 40258431 52099146 1000 1200 1200 (original_proposal.dvi)
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2689     181.818 /CMSY10 rf /Fc 182[55 6[92 66[{}2 99.6264 /CMMI6
2690     rf /Fd 165[92 1[240 54[131 131 10[88 88 122 122 18[{}8
2691     166.044 /CMEX10 rf /Fe 148[73 57 19[82 1[82 5[112 4[61
2692     6[106 6[39 59[{}8 132.835 /CMMI8 rf /Ff 148[95 75 5[95
2693     13[106 124 106 2[144 2[146 18[51 32[94 1[80 11[103 12[{}12
2694     181.818 /CMMI10 rf /Fg 134[88 1[121 84 98 60 74 77 1[93
2695     93 102 149 46 2[56 93 84 56 84 93 84 1[93 11[135 1[102
2696     133 1[123 2[163 114 1[95 4[123 1[130 128 6[56 56 93 93
2697     93 93 93 93 93 93 93 93 1[56 1[56 44[{}44 181.818 /CMTI10
2698     rf /Fh 194[110 3[71 71 71 71 71 71 71 71 71 71 3[39 44[{}12
2699     132.835 /CMR8 rf /Fi 133[81 96 96 131 96 101 71 72 71
2700     96 101 91 101 152 51 96 56 51 101 91 56 81 101 81 101
2701     91 3[51 91 51 111 136 1[187 1[136 131 101 134 1[124 141
2702     136 167 114 141 93 66 136 143 119 124 139 131 129 136
2703     1[86 1[141 1[51 51 91 91 91 91 91 91 91 91 91 91 91 51
2704     61 51 141 1[71 71 51 4[91 51 9[136 8[152 101 101 106
2705     7[126 1[152 1[{}83 181.818 /CMR10 rf /Fj 134[142 3[149
2706     105 106 110 1[149 134 149 224 75 142 2[149 134 82 123
2707     149 120 1[131 13[149 201 1[184 2[255 5[211 4[191 13[134
2708     134 134 134 49[{}28 239.103 /CMBX12 rf /Fk 134[103 1[141
2709     103 1[76 77 76 1[108 98 108 163 1[103 1[54 108 1[60 87
2710     108 87 108 98 11[146 1[108 4[146 179 3[70 4[149 141 138
2711     146 10[98 98 98 1[98 98 98 1[54 1[54 44[{}36 199.253
2712     /CMR12 rf /Fl 134[139 1[192 1[147 102 103 102 2[132 147
2713     222 72 2[72 147 132 79 117 147 117 1[132 13[147 2[180
2714     207 6[199 2[180 1[192 67[{}24 286.924 /CMR17 rf end
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2722     1 0 bop 62 1001 a Fl(Elucidation)83 b(of)k(Structural)82
2723     b(Changes)i(in)i(Osmotically)d(Sw)-7 b(ollen)84 b(P)-7
2724     b(olymer)3330 1440 y(Hydrogels)3003 1991 y Fk(Matthew)64
2725     b(A.)i(Meinek)-5 b(e)2021 2270 y(Departmen)g(t)64 b(of)g(Chemistry)g
2726     (and)i(Bio)5 b(c)-5 b(hemistry)2798 2549 y(Univ)g(ersit)g(y)65
2727     b(of)f(Notre)g(Dame)2720 2828 y(Notre)g(Dame,)g(Indiana)i(46556)3065
2728     3249 y(Septem)-5 b(b)5 b(er)65 b(20,)f(2001)0 4081 y
2729     Fj(1)269 b(Bac)-7 b(kground)0 4532 y Fi(In)75 b(the)g(past)f(t)-5
2730     b(w)g(en)g(t)g(y)75 b(y)-5 b(ears,)78 b(researc)-5 b(h)74
2731     b(on)i(p)5 b(olymer)74 b(gel)g(net)-5 b(w)g(orks)75 b(has)g(rev)-5
2732     b(ealed)74 b(in)-5 b(teresting)73 b(information)0 4803
2733     y(ab)5 b(out)49 b(their)g(osmotically)e(sw)-5 b(ollen)49
2734     b(states)f(and)i(their)f(ph)-5 b(ysiological)4787 4737
2735     y Fh(1,)18 b(2)5041 4803 y Fi(and)49 b(mec)-5 b(hanical)48
2736     b(prop)5 b(erties.)76 b(Of)49 b(par-)0 5074 y(ticular)56
2737     b(in)-5 b(terest)55 b(is)i(the)f(observ)-10 b(ance)57
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2739     b(oly)-5 b(electrolyte)6109 5008 y Fh(3)6242 5074 y Fi(and)57
2740     b(non-ionic)f(gels.)7723 5008 y Fh(4)0 5344 y Fi(The)71
2741     b(gel)g(collapse)e(has)i(b)5 b(een)71 b(link)-5 b(ed)70
2742     b(to)h(man)-5 b(y)71 b(di\013eren)-5 b(t)70 b(en)-5 b(vironmen)g(t)70
2743     b(v)-10 b(ariables)69 b(including)h(temp)5 b(erature,)0
2744     5615 y(solv)-5 b(en)g(t)59 b(p)5 b(olarit)-5 b(y)-15
2745     b(,)59 b(and)h(in)g(the)h(case)e(of)i(p)5 b(oly)-5 b(electrolyte)57
2746     b(gels,)i(salt)h(comp)5 b(osition.)282 5886 y(Shiba)-5
2747     b(y)g(ama)57 b Fg(et)62 b(al.)1605 5820 y Fh(5)1764 5886
2748     y Fi(ha)-5 b(v)g(e)58 b(in)-5 b(v)g(estigated)55 b(a)j(w)-5
2749     b(eakly)57 b(c)-5 b(harged)57 b(p)5 b(oly)-5 b(electrolyte)55
2750     b(gel)i(with)h(small)e(angle)h(neu-)0 6157 y(tron)i(scattering)f(in)g
2751     (the)h(phase)g(region)f(near)i(the)e(v)-5 b(olume)58
2752     b(c)-5 b(hange.)79 b(The)60 b(gel)e(comp)5 b(osition)57
2753     b(w)-5 b(as)59 b(a)g(cop)5 b(olymer)0 6428 y(of)47 b(N-isoprop)-5
2754     b(ylacrylamide-)p Fg(c)c(o)11 b Fi(-acrylic)43 b(acid)k(\(NIP)-15
2755     b(A/AAc\))47 b(\(structures)g(sho)-5 b(wn)47 b(in)h(\014gure)f(1\).)76
2756     b(In)48 b(their)f(study)0 6699 y(the)58 b(collapse)e(w)-5
2757     b(as)58 b(studied)f(b)-5 b(y)58 b(v)-10 b(arying)58 b(either)f(the)h
2758     (temp)5 b(erature)57 b(or)h(the)g(solv)-5 b(en)g(t's)56
2759     b(acetone:w)-5 b(ater)57 b(ratio.)78 b(In)0 6970 y(their)72
2760     b(w)-5 b(ork)73 b(they)e(found)h(evidence)g(of)g(microphase)e
2761     (separation)i(in)g(the)g(collapsed)e(gel)i(with)g(phase)g(regions)0
2762     7241 y(on)82 b(the)f(order)h(of)g(300)1607 7209 y(\027)1607
2763     7241 y(A.)144 b(This)82 b(w)-5 b(ould)81 b(imply)g(that)g(there)g(are)h
2764     (regions)f(of)h(aggregates)e(formed)h(from)g(the)0 7512
2765     y(com)-5 b(bination)61 b(of)i(electrostatic)d(repulsions)i(of)g(AAc)i
2766     (segmen)-5 b(ts)62 b(and)h(the)g(attractiv)-5 b(e)61
2767     b(in)-5 b(teractions)61 b(of)i(the)f(h)-5 b(y-)0 7783
2768     y(drophobic)42 b(NIP)-15 b(A)43 b(segmen)-5 b(ts.)73
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2773     8325 y(In)76 b(a)g(system)f(in)-5 b(v)g(estigated)73
2774     b(b)-5 b(y)76 b(Hork)-10 b(a)-5 b(y)77 b Fg(et)i(al.)p
2775     Fi(,)3712 8259 y Fh(3)3870 8325 y Fi(the)d(gel)g(studied)e(w)-5
2776     b(as)76 b(a)g(neutralized)f(p)5 b(oly)-5 b(electrolyte)0
2777     8596 y(net)g(w)g(ork,)55 b(so)5 b(dium)54 b(p)5 b(oly)-5
2778     b(acrylate,)54 b(sho)-5 b(wn)55 b(in)f(\014gure)h(1.)79
2779     b(The)55 b(system)e(w)-5 b(as)55 b(studied)f(near)h(the)f(v)-5
2780     b(olume)54 b(collapse)0 8867 y(b)-5 b(y)43 b(v)-10 b(arying)43
2781     b(the)g(mono)-5 b(v)-10 b(alen)-5 b(t:div)-10 b(alen)-5
2782     b(t)39 b(salt)j(cation)g(ratio)h(in)g(solution.)72 b(Measuremen)-5
2783     b(ts)42 b(of)g(the)h(shear)g(mo)5 b(dulus)0 9138 y(and)61
2784     b(the)f(osmotic)f(pressure)h(w)-5 b(ere)61 b(compared)f(against)g(the)g
2785     (v)-5 b(olume)60 b(fraction)f(of)i(the)f(gel.)80 b(It)61
2786     b(w)-5 b(as)60 b(found)h(that)0 9409 y(the)78 b(shear)g(mo)5
2787     b(dulus)77 b(w)-5 b(as)78 b(una\013ected)g(b)-5 b(y)78
2788     b(the)g(increase)f(in)h(the)g(div)-10 b(alen)-5 b(t)76
2789     b(cation)i(concen)-5 b(tration)76 b(near)i(the)0 9680
2790     y(v)-5 b(olume)79 b(c)-5 b(hange.)138 b(This)80 b(implies)d(that)j(the)
2791     f(cross-linking)f(densit)-5 b(y)79 b(is)g(una\013ected)g(b)-5
2792     b(y)80 b(the)g(increase)f(in)g(the)0 9951 y(div)-10 b(alen)-5
2793     b(t:mono)g(v)-10 b(alen)-5 b(t)77 b(cation)k(ratio)g(in)g(the)g(gel,)86
2794     b(suggesting)79 b(the)j(metho)5 b(d)80 b(of)h(collapse)f(is)h(based)g
2795     (only)g(on)0 10222 y(an)69 b(increase)f(in)g(the)h(in)-5
2796     b(teraction)67 b(b)5 b(et)-5 b(w)g(een)69 b(p)5 b(olymer)68
2797     b(strands)g(facilitated)e(b)-5 b(y)69 b(the)g(div)-10
2798     b(alen)-5 b(t)67 b(cations.)105 b(What)0 10493 y(remains)59
2799     b(to)i(b)5 b(e)60 b(kno)-5 b(wn,)60 b(ho)-5 b(w)g(ev)g(er,)60
2800     b(is)g(the)g(exact)g(structural)f(nature)i(of)f(these)f(in)-5
2801     b(teractions.)3855 11315 y(1)p eop
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2817     % Copyright © 1985-1997, CambridgeSoft Corp., All Rights Reserved
2818     userdict/chemdict30 210 dict put
2819     chemdict30 begin/version 24 def/sv 13 def/b{bind def}bind def/L{load def}b/R{null def}b/d/def L/a/add L/al/aload L/as/astore L/at/atan L/cp/closepath L/cv/curveto L/cw/currentlinewidth L/cpt/currentpoint L/dv/div L/D/dup L/e/exch L/F/false L/f/fill L/fa/forall L/g/get L/gi/getinterval L/gr/grestore L/gs/gsave L/ie/ifelse L/ix/index L/l/lineto L/mt/matrix L/M/moveto L/m/mul L/n/neg L/np/newpath L/pb/pathbbox L/P/pop L/r/roll L/rl/rlineto L/rm/rmoveto L/ro/rotate L/rp/repeat L/ru/round L/sc/scale L/sl/setlinewidth L/sm/setmatrix L/st/stroke L/sp/strokepath L/sq/sqrt L/s/sub L/T/true L/tr/transform L/xl/translate L/xc/exec L/A R/N R/St R/X R/Y R/aL R/bL R/bS R/bd R/bs R/cX R/cY R/ch R/co R/fB R/fI R/fS R/fZ R/fl R/ft R/iX R/iY R/idx R/lh R/llx R/lly R/lp R/nH R/nSq R/newdict R/ps R/rad R/rev R/sL R/sba R/sbl R/sbs R/sn R/spa R/tB R/typ R/urx R/ury R/w R/wF R/xX R/xY R/rBg R/gBg R/bBg R/gry R/rDst R/gDst R/bDst R/cpd R/Aeq R/Ath R/Aos R/Ach R/ed R/sf 20 d/cW 20 d/lW 20 d/bW 75 d/wF 1.5 d/aF 11.875 d/aR 0.263 d/aA 50 d/hS 54 d/pA 32 d/sh F d/S{sf m}b/dL{[hS] 0 setdash}b/o{1 ix}b/rot{3 -1 r}b/x{e d}b/CMT mt d/TM mt d/SM{CMT sm}b/XY{X D m Y D m a sq}b/s1 1 string d/fp{T charpath flattenpath}b/p{tr ru 0.25 a e ru 0.25 a e itransform}b/Wd{65536. dv}b/C{Wd rot Wd rot Wd rot setrgbcolor}b/setcmykcolor where{P/sk/setcmykcolor L}{/sk{4 1 r 3{3 ix a D 0 lt{P 0}if D 1 gt{P 1}if 1 e s 3 1 r}rp setrgbcolor P}b}ie/sg{D currenthsbcolor P rot sethsbcolor currenthsbcolor e P e P o s D m .001 gt{setgray}{P}ie}b/sBg{65535 dv/bBg x 65535 dv/gBg x 65535 dv/rBg
2820     x}b/sRmp{currentrgbcolor bBg e s/bDst x gBg e s/gDst x rBg e s/rDst x}b/dD{np 2 1 r 4 2 r xl 2 dv D sc -1 0 M 0 -1 l 1 0 l 0 1 l cp SM 0 ne{f}{lW 0.8 m D sf gt{P sf}if sl st}ie}b/dM{gs np 3 1 r xl D sc 0 4 M 0 -8 rl 3.5 2 rm -7 4 rl 0 -4 rm 7 4 rl SM st gr}b/dQ{gs np 0 360 arc 0.5 sg f gr}b/dR{lW 0.8 m D sf gt{P sf}if sl 2 ix s/Y x 2 ix s/X x xl Rr SM st}b/dT{fp pb 3 1 r s 3 2 r s 2 1 r rm f}b/N 0 d/db{array/bs x/N 0 d}b/B{bs N rot put/N N 1 a d}b/SpA{gs np o o xl rot s e rot s o 0 ne o 0 ne or{at ro}{P P}ie
2821     aR aL m n D aL a 0 p M 0 o n aA n aA arc cp f gr}b/SpH{gs np o o xl rot s e rot s o 0 ne o 0 ne or{at ro}{P P}ie
2822     0 cw 2 dv xl
2823     aR aL m n D aL a 0 p M 0 o n aA n 0 arc cp f gr}b/Sp{/St x 0.316/aR x gs
2824     aF lW m 0.8 m St 4 and 0 ne{bW m lW dv bW sl}if/aL x
2825     St 8 and 0 ne{8 ix 8 ix 3 ix 3 ix SpA}if
2826     St 16 and 0 ne{2 ix 6 m 1 a D ix e D ix e D ix e D ix e P SpA}if
2827     St 32 and 0 ne{8 ix 8 ix 3 ix 3 ix SpH}if
2828     St 64 and 0 ne{2 ix 6 m 1 a D ix e D ix e D ix e D ix e P SpH}if
2829     St 2 and 0 ne{St 4 and 0 ne{[hS bW m lW dv] 0 setdash}{dL}ie}if
2830     np M{cv}rp St 128 and 0 ne{f}{st}ie gr}b/Ha{gs np 3 1 r
2831     xl D sc -.7 1.4 p M 0.7 1.4 p l -.7 2.4 p M 0.7 2.4 p l SM st gr}b/OP{3 ix 3 ix xl 3 -1 r s 3 1 r
2832     e s o o at ro D m e D m a sq}b/OB{/bS x OP D bS dv D lW 2 m lt{P lW 2 m}if/bd x}b/DA{np 0 0 M aL 0 aR aL m 180 aA s 180 aA a arc cp f}b/OA{np 0 cw -2 dv M aL 0 aR aL m 180 aA s
2833     180 arc 0 cw -2 dv rl cp f}b/Ast{SM cw 0.8 m sl st}b/SA{aF m lW m/aL x 0.263/aR x aL 1 aR s m np 0 p M rad 0 p l gs Ast gr}b/CA{aF lW m 0.8 m/aL x 0.316/aR x aL 1 aR s m 2 dv rad D m o D m s D 0 le{P
2834     P P}{sq at 2
2835     m np rad 0 rad 180 6 -1 r s 180 6 -1 r s arc gs Ast gr cpt
2836     e at ro}ie}b/AA{np rad 0 rad 180 180 6 -1 r a arc gs SM st gr}b/RA{lW m/w x np rad w p M w .7 dv w p l rad w n p M w .7 dv w n p l w .35 dv w 2 m p M 0 0 p
2837     l w .35 dv w -2 m p l st}b/HA{lW m/w x np 0 0 p M w 2 m D p l w 2 m w p l rad w p l rad w n p l w 2 m
2838     w n p l w 2 m D n p l cp st}b/Ar1{gs 5 1 r OP/rad x{{2.25 SA DA}{1.5 SA DA}{1 SA DA}{lW 4 m sl 4.5 SA DA}{lW 4 m sl 3 SA DA}{lW 4 m sl 2 SA
2839     DA}{270 CA DA}{180 CA DA}{120 CA DA}{90 CA DA}{2.5 RA}{2.5
2840     HA}{1 -1 sc 270 CA DA}{1 -1 sc 180 CA DA}{1 -1 sc 120 CA DA}{1 -1 sc 90 CA
2841     DA}{5 RA}{5 HA}{dL 2.25 SA DA}{dL 1.5 SA DA}{dL 1 SA DA}{2.25 SA OA}{1.5 SA
2842     OA}{1 SA OA}{1 -1 sc 2.25 SA OA}{1 -1 sc 1.5 SA OA}{1 -1 sc 1 SA OA}{270 CA OA}{180 CA OA}
2843     {120 CA OA}{90 CA OA}{1 -1 sc 270 CA
2844     OA}{1 -1 sc 180 CA OA}{1 -1 sc 120 CA OA}{1 -1 sc 90 CA OA}{1 -1 sc 270
2845     AA}{1 -1 sc 180 AA}{1 -1 sc 120 AA}{1 -1 sc 90 AA}}e g xc
2846     gr}b/ac{arcto 4{P}rp}b/rO{4 cw m}b/Cr{0 0 1 0 360 arc}b/Ac{XY D sc Cr SM}b/OrA{Y X at ro XY D rev{neg}if sc}b/Ov{OrA 1 0.4 sc Cr SM}b/Asc{OrA 1 27 dv D sc}b/LB{9 -6 M
2847     21 -10 27 -8 27 0 cv
2848     27 8 21 10 9 6 cv
2849     -3 2 -3 -2 9 -6 cv
2850     cp}b/DLB{0 0 M -4.8 4.8 l
2851     -8 8 -9.6 12 -9.6 16.8 cv
2852     -9.6 21.6 -8 24.6 -4.8 25.8 cv
2853     -1.6 27 1.6 27 4.8 25.8 cv
2854     8 24.6 9.6 21.6 9.6 16.8 cv
2855     9.6 12 8 8 4.8 4.8 cv
2856     cp}b/ZLB{LB}b/dt{gs np M SM cpt np rot 4.5 dv 0 360 arc f gr}b/whf{gs 1 setgray f gr SM st}b/blf{gs f gr SM st}b/Rr{0 rO p M
2857     0 Y X Y rO ac
2858     X Y X 0 rO ac
2859     X 0 0 0 rO ac
2860     0 0 0 Y rO ac
2861     cp}b/Rc{0 0 p M
2862     0 Y p l
2863     X Y p l
2864     X 0 p l
2865     cp}b/grf{gs 0.5 sg f gr SM st}b/gG{D 32 dv D m 1 e s/gry x
2866     currentrgbcolor bDst gry m a 3 1 r gDst gry m a 3 1 r rDst gry m a 3 1 r setrgbcolor}b/gS{dtransform CMT idtransform
2867     m D 0 lt{n}if sq n D
2868     CMT dtransform idtransform
2869     e 2 m e
2870     xl
2871     7 m 32 a 256 dv D sc}b/gLB{sh{sRmp
2872     32 -0.5 0.5{gs
2873     gG
2874     13.5 0 xl
2875     D 32 s 64 dv 13.5 m D 7 m 24 dv
2876     gS
2877     -13.5 0 xl
2878     LB f
2879     gr}for
2880     LB SM st}{LB grf}ie}b/gOv{sh{sRmp
2881     32 -0.5 0.5{gs
2882     gG
2883     D 32 s 64 dv 0.65 m D
2884     gS
2885     Cr f
2886     gr}for
2887     Cr SM st}{Cr grf}ie}b/gAc{sh{sRmp
2888     32 -0.5 0.5{gs
2889     gG
2890     D 32 s 64 dv D
2891     gS
2892     Cr f
2893     gr}for
2894     Cr SM st}{Cr grf}ie}b/gDLB{sh{sRmp
2895     32 -0.5 0.5{gs
2896     gG
2897     0 13.5 xl
2898     D 32 s 64 dv 13.5 m D 7 m 24 dv e
2899     gS
2900     0 -13.5 xl
2901     DLB f
2902     gr}for
2903     DLB SM st}{DLB grf}ie}b/gRr{sh{sRmp
2904     32 -0.5 0.5{gs
2905     gG
2906     X 2 dv Y 2 dv xl
2907     D 32 s 64 dv X Y lt{X}{Y}ie m 0.25 m D
2908     gS
2909     X -2 dv Y -2 dv xl
2910     Rr f
2911     gr}for
2912     Rr SM st}{Rr grf}ie}b/gRc{sh{sRmp
2913     32 -0.5 0.5{gs
2914     gG
2915     X 2 dv Y 2 dv xl
2916     D 32 s 64 dv X Y lt{X}{Y}ie m 0.25 m D
2917     gS
2918     X -2 dv Y -2 dv xl
2919     Rc f
2920     gr}for
2921     Rc SM st}{Rc grf}ie}b/gZLB{gLB}b/Ath{Y X at ro XY 2 dv/rad x gs D SA DA gr rad 2 m 0 xl 180 ro SA DA}b/Aeq{Y X at ro XY/rad x
2922     rev{1 -1 sc}if
2923     gs
2924     0 lW 2 m xl
2925     D SA OA
2926     gr
2927     rad 0 xl
2928     180 ro
2929     0 lW 2 m xl
2930     SA OA}b/Aos{X Y M SM cpt xl XY e dv lW 1.667 m o o lt{e}if P D sc}b/Ach{5 Aos
2931     gs/Helvetica findfont[1 0 0 -1 0 0]makefont 5.5 scalefont setfont
2932     D stringwidth P 2 dv D 1 a/rad x
2933     n 0 M show gr
2934     rad 2 s -5 p M
2935     rad n -5 rad n 1 2 ac
2936     rad n 1 rad 1 2 ac
2937     rad 1 rad -5 2 ac
2938     rad -5 rad n -5 2 ac
2939     cp Ast}b/Ar{D 39 lt{Ar1}{gs 5 1 r o o xl 3 -1 r e s 3 1 r s e
2940     o 0 lt o 0 lt ne/rev x
2941     D 0 lt{1 -1 sc neg}if/Y x D 0 lt{-1 1 sc neg}if/X x np{{Y 16 div D 2 S lt{P 2 S}if/lp x
2942     lp 0 p M 0 0 p l 0 Y p l lp Y p l
2943     X lp s 0 p M X 0 p l X Y p l X lp s Y p l SM st}{Y 16 div D 2 S lt{P 2 S}if/lp x
2944     lp 0 p M
2945     0 0 0 Y lp ac
2946     0 Y 2 dv lp neg o lp ac
2947     0 Y 2 dv 0 Y lp ac
2948     0 Y lp Y lp ac
2949     X lp s 0 p M
2950     X 0 X Y lp ac
2951     X Y 2 dv X lp a o lp ac
2952     X Y 2 dv X Y lp ac
2953     X Y X lp s Y lp ac SM st}{Y D 2 dv Y 180 pA s 180 pA a arc st
2954     np X Y s Y 2 dv
2955     Y pA D neg arcn st}{Rc SM st}{X lW 2 dv a lW -2 dv p M
2956     rO D rl
2957     X lW 2 dv a rO a Y lW 2 dv a rO a p l
2958     rO lW -2 dv a Y lW 2 dv a rO a p l
2959     lW -2 dv Y lW 2 dv a p l
2960     0 Y p l X Y p l X 0 p l cp f
2961     0 0 p M
2962     0 Y p l
2963     X Y p l
2964     X 0 p l cp
2965     SM st}{Rr SM st}{rO Y p M rO rO xl
2966     0 Y X Y rO ac
2967     X Y X 0 rO ac
2968     X 0 0 0 rO ac
2969     rO neg D xl X Y 0 Y rO ac
2970     cp f
2971     Rr st}{Ac st}{OrA gAc}{Ov st}{OrA 1 .4 sc gOv}{Asc LB whf}{Asc gLB}{Asc gs gLB gr
2972     -1 -1 sc LB whf}{Asc gs gLB gr
2973     -0.4 -0.4 sc LB whf}{Asc LB gs whf gr
2974     np -0.4 -0.4 sc gLB}{Asc DLB -1 -1 sc DLB gs whf gr
2975     np 90 ro gs gDLB gr -1 -1 sc gDLB}{Asc gs -1 -1 sc ZLB whf gr
2976     gs 3.6 12 sc gOv gr
2977     ZLB whf}{Asc gs -1 -1 sc gZLB gr
2978     gs 3.6 12 sc Cr whf gr
2979     gZLB}{0 0 p M X Y p l SM st}{bW sl 0 0 p M X Y p l SM st}{dL 0 0 p M X Y p l SM st}{OrA 1 16 dv D sc
2980     0 -1 p M
2981     0 0 1 0 1 ac
2982     8 0 8 1 1 ac
2983     8 0 16 0 1 ac
2984     16 0 16 -1 1 ac
2985     SM st}{XY D 0 0 dt X Y dt}{XY 2 dv X Y dt}{XY D X Y dt 0 0 M SM cpt xl
2986     2 dv D sc
2987     1 0 M -1 0 l
2988     0 1 M 0 -1 l
2989     Ast}{XY D X Y dt 0 0 M SM cpt xl
2990     2 dv D sc
2991     1 0 M -1 0 l
2992     Ast}{4.5 Aos
2993     1 0 M -1 0 l
2994     0 1 M 0 -1 l
2995     2 0 M 0 0 2 0 360 arc
2996     Ast}{4.5 Aos
2997     1 0 M -1 0 l
2998     2 0 M 0 0 2 0 360 arc
2999     Ast}{2.25 Ath}{1.5 Ath}{1 Ath}{2.25 Aeq}{1.5 Aeq}{1 Aeq}{OrA 1 16 dv D sc
3000     0 -1 p M 0 0 p l 16 0 p l 16 -1 p l SM st}{5 Aos
3001     1 -1 M -1 -1 l
3002     0 2 M 0 -2 l
3003     Ast}{5 Aos
3004     1 -1 M -1 -1 l
3005     1 1 M -1 1 l
3006     0 2 M 0 -2 l
3007     Ast}{4.5 Aos
3008     1 0 M -1 0 l
3009     0 1 M 0 -1 l
3010     Ast}{4.5 Aos
3011     1 0 M -1 0 l
3012     Ast}{gRc}{gRr}{Rc blf}{Rr blf}{Ac blf}{Ov blf}{Asc DLB -1 -1 sc DLB gs whf gr
3013     np 90 ro DLB -1 -1 sc DLB blf}{Asc gs -1 -1 sc ZLB blf gr
3014     gs 3.6 12 sc Cr whf gr
3015     ZLB blf}{Asc gs -1 -1 sc ZLB whf gr
3016     gs 3.6 12 sc Cr blf gr
3017     ZLB whf}{Asc LB gs whf gr
3018     np -0.4 -0.4 sc LB blf}{Asc LB gs f gr gs SM st gr
3019     np -0.4 -0.4 sc LB whf}{Asc LB blf}{Asc LB gs f gr gs SM st gr
3020     np -1 -1 sc LB whf}{Ac whf}{OrA gAc}{Ac blf}{Ov whf}{OrA 1 .4 sc gOv}{Ov blf}{(Rac)Ach}{(Abs)Ach}{(Rel)Ach}}e 39 s g xc gr}ie}b/DS{np p M p l st}b/DD{gs dL DS gr}b/DB{gs 12 OB bW sl np 0 0 p M 0 p l st gr}b/ap{e 3 ix a
3021     e 2 ix a}b/PT{D 2 4 gi al P OP D 1 sc
3022     o length 6 gt{P 6 g}{e P 8 dv}ie
3023     D lW 2 m lt{P lW 2 m}if
3024     0 e p
3025     0 0 p
3026     3 -1 r s 3 1 r e s e
3027     0 0 p M 1 0 p l
3028     0 0 p ap M 1 0 p ap l
3029     e n e n
3030     0 0 p ap M 1 0 p ap l
3031     P P}b/DT{gs np PT SM st gr}b/NH{lW s D hS dv ru
3032     cvi D 0 eq{P 1}if/nH x
3033     D hS nH m s
3034     D 0 lt{P .1 s nH dv}{nH 2 a dv D 0 xl 2 m s nH dv}ie}b/Bd{D type/arraytype ne{bs e g}if{{P}{{{DS}{DD}{gs 12 OB np
3035     bW 2 dv/bd x
3036     lW 2 dv e D NH e{D bd p M bd n p l}for
3037     st gr}{gs 12 OB np
3038     lW 2 dv 0 xl NH 1 sc
3039     bW 2 dv wF m nH 1 a dv/bd x
3040     0 1 nH{D 1 a bd m o o p M n p l}for SM st gr}{P}{DB}{gs 12 OB
3041     np 0 lW 2 dv o o n p M p l bW 2 dv
3042     wF m o o p l n p l
3043     cp f gr}{P}{gs 12 OB/bL x
3044     bW 2 dv D lW lt{P lW}if/bd x np 0 0 p M
3045     bL bd 4 m dv ru 2 o o lt{e}if P cvi/nSq x
3046     bL nSq 2 m dv D sc
3047     nSq{.135 .667 .865 .667 1 0 rcurveto
3048     .135 -.667 .865 -.667 1 0 rcurveto}rp SM st gr}{gs 12 OB
3049     np 0 lW 2 dv o o n p M p l bW 2 dv
3050     wF m o o p l n p l
3051     cp SM lW 0.8 m sl st gr}{P}{4 2 r gs OP/rad x 1 SA DA gr}{P}}o 1 g 1 s g e 2 4 gi al P
3052     5 -1 r xc}{al P 8 ix 1 eq{DD}{DS}ie 5 -1 r 2 eq{DB}{DS}ie P}{DT}}o 0 g g xc}b/ed{gs cpt np cw 2 dv 0 360 arc f gr}b
3053     /SPe{gs 0 e xl 1 1 S dv D n sc CMT currentmatrix P lW sl 4.0 setmiterlimit
3054     np}b/ws{Wd 0 32 4 -1 roll widthshow}b/blank/Times-Roman findfont/CharStrings
3055     g/space g d/mv 256 array d/NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI
3056     /DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US
3057     mv 0 32 gi as P
3058     mv 32/Times-Roman findfont/Encoding get
3059     32 96 gi putinterval
3060     mv 39/quotesingle put
3061     mv 96/grave put/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute
3062     /agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave
3063     /ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute
3064     /ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis
3065     /dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
3066     /registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash
3067     /infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation
3068     /product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash
3069     /questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft
3070     /guillemotright/ellipsis/blank/Agrave/Atilde/Otilde/OE/oe
3071     /endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge
3072     /ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl
3073     /daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand/Acircumflex/Ecircumflex/Aacute
3074     /Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave/Oacute/Ocircumflex
3075     /apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde
3076     /macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron
3077     mv 128 128 gi as P/fSt 50 string d(ChemDraw)fSt copy P/fD{D/Symbol eq{findfont[1 0 0 -1 0 0]makefont}{D {findfont}stopped{/Helvetica findfont}if
3078     D length dict/newdict x{1 index/FID ne{1 index/FontMatrix eq{[1 0 0 -1 0 0]matrix concatmatrix}if
3079     newdict 3 1 r put}{P P}ie}forall
3080     newdict/Encoding mv put
3081     fSt 8 fSt length 8 sub gi cvs length 8 add
3082     fSt 0 rot gi cvn newdict definefont}ie}b/ts{gs xl ro 0 0 M}b/nl{0 e xl 0 0 M}b/tx{ft e g e sf m rot D 96 and 0 ne{64 and 0 ne{-0.5}{0.25}ie e 0.75 m}{P 0 e}ie
3083     D 4 -1 r e scalefont setfont m cpt P e M}b
3084     end
3085     %%EndProcSet
3086    
3087     %%EndProlog
3088     40 80 20 20 54 chemdict30 begin/hS x/sf x/lW x/bW x/cW x/sh T d
3089     451 SPe[
3090     /Helvetica
3091     fD
3092     /Times-Roman
3093     fD]/ft x/origstk x
3094     65535 65535 65535 sBg
3095     0.0000 0.0000 0.0000 1.0000 sk
3096     gs
3097     2647 2123 M
3098     3091 2370 ed
3099     l
3100     ed
3101     st
3102     gr
3103     gs
3104     2612 2185 M
3105     3055 2432 ed
3106     l
3107     ed
3108     st
3109     gr
3110     gs
3111     2647 2164 M
3112     2640 1676 ed
3113     l
3114     ed
3115     st
3116     gr
3117     gs
3118     2799 1468 M
3119     3055 1315 ed
3120     l
3121     ed
3122     st
3123     gr
3124     gs
3125     2647 2164 M
3126     2229 2413 ed
3127     l
3128     ed
3129     st
3130     gr
3131     gs
3132     2468 1519 M
3133     1474 1256 ed
3134     l
3135     ed
3136     st
3137     gr
3138     gs
3139     3256 1279 M
3140     4197 1489 ed
3141     l
3142     ed
3143     st
3144     gr
3145     3520 860 1900 3220 39 Ar
3146    
3147     gs
3148     7066 1651 M
3149     7469 1406 ed
3150     l
3151     ed
3152     st
3153     gr
3154     gs
3155     6924 2520 M
3156     6909 1860 ed
3157     l
3158     ed
3159     st
3160     gr
3161     gs
3162     6923 2467 M
3163     7525 2796 ed
3164     l
3165     ed
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3169     6879 2547 M
3170     7481 2878 ed
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3174     gr
3175     gs
3176     6924 2520 M
3177     6361 2862 ed
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3183     6742 1687 M
3184     5311 1156 ed
3185     l
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3189     gs
3190     7669 1380 M
3191     8629 1692 ed
3192     l
3193     ed
3194     st
3195     gr
3196     8071 783 5832 3228 39 Ar
3197    
3198     gs
3199     4832 4938 M
3200     4429 4938 ed
3201     l
3202     ed
3203     st
3204     gr
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3206     5278 5485 M
3207     5000 5039 ed
3208     l
3209     ed
3210     st
3211     gr
3212     gs
3213     5255 5447 M
3214     5801 5447 ed
3215     l
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3218     gr
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3220     5257 5523 M
3221     5801 5523 ed
3222     l
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3225     gr
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3227     5278 5485 M
3228     5031 5922 ed
3229     l
3230     ed
3231     st
3232     gr
3233     gs
3234     5278 6582 M
3235     5911 6582 ed
3236     l
3237     ed
3238     st
3239     gr
3240     gs
3241     4967 7131 M
3242     5278 6582 ed
3243     l
3244     ed
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3246     gr
3247     gs
3248     5032 6148 M
3249     5278 6582 ed
3250     l
3251     ed
3252     st
3253     gr
3254     gs
3255     4223 4938 M
3256     3308 4938 ed
3257     l
3258     ed
3259     st
3260     gr
3261     gs
3262     5038 4938 M
3263     6416 4938 ed
3264     l
3265     ed
3266     st
3267     gr
3268     6159 7362 3659 4505 39 Ar
3269    
3270     0 2067 3145 ts
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3274     64 10
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3276     (+)show
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3301     ()show
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3341     ()show
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3429    
3430     %%Trailer
3431     showpage
3432     count origstk sub{P}rp end
3433    
3434     %%EndDocument
3435     @endspecial 841 4355 a Fi(Figure)60 b(1:)80 b(Sho)-5
3436     b(wn)61 b(here,)f(are)g(the)h(three)f(p)5 b(olymers)59
3437     b(discussed)g(within)h(this)f(prop)5 b(osal.)0 4905 y
3438     Fj(2)269 b(Researc)-7 b(h)89 b(Goals)0 5356 y Fi(It)59
3439     b(is)g(the)g(goal)g(of)g(this)g(researc)-5 b(h)59 b(to)g(elucidate)f
3440     (the)h(nature)g(of)h(the)f(gel)g(collapse)f(in)h(the)g(t)-5
3441     b(w)g(o)59 b(systems)f(in)-5 b(v)g(esti-)0 5627 y(gated)53
3442     b(b)-5 b(y)53 b(Shiba)-5 b(y)g(ama)52 b Fg(et)58 b(al.)79
3443     b Fi(and)53 b(Hork)-10 b(a)-5 b(y)53 b Fg(et)59 b(al.)78
3444     b Fi(Through)54 b(Gibbs)e(Mon)-5 b(te)53 b(Carlo)g(tec)-5
3445     b(hniques,)52 b(this)h(researc)-5 b(h)0 5898 y(will)48
3446     b(sim)-5 b(ulate)46 b(the)i(t)-5 b(w)g(o)49 b(systems)d(at)j(state)e(p)
3447     5 b(oin)-5 b(ts)48 b(surrounding)g(their)g(resp)5 b(ectiv)-5
3448     b(e)47 b(gel)h(collapses.)74 b(Information)0 6169 y(gained)68
3449     b(from)f(the)h(equilibrium)f(con\014gurations)g(will)g(b)5
3450     b(e)69 b(used)f(to)g(giv)-5 b(e)67 b(structural)h(insigh)-5
3451     b(t)67 b(in)-5 b(to)67 b(the)h(nature)0 6440 y(of)60
3452     b(the)g(sudden)g(v)-5 b(olume)60 b(c)-5 b(hanges)59 b(in)h(the)h(gels.)
3453     282 6711 y(The)72 b(\014rst)e(system)g(to)h(b)5 b(e)71
3454     b(in)-5 b(v)g(estigated)69 b(will)h(b)5 b(e)71 b(the)g(NIP)-15
3455     b(A/AAc)71 b(system)f(of)h(Shiba)-5 b(y)g(ama)69 b Fg(et)75
3456     b(al.)113 b Fi(Their)0 6982 y(system)50 b(is)i(ideal)f(to)g(b)5
3457     b(egin)52 b(with)f(b)5 b(ecause)51 b(it)h(will)f(allo)-5
3458     b(w)51 b(the)g(dev)-5 b(elopmen)g(t)50 b(of)i(Gibbs)f(tec)-5
3459     b(hniques)50 b(without)h(the)0 7253 y(di\016cult)-5 b(y)57
3460     b(of)i(inserting)f(and)i(deleting)d(c)-5 b(harged)59
3461     b(particles)f(in)-5 b(to)59 b(the)g(gel)f(system)g(\(here)h(the)g(solv)
3462     -5 b(en)g(t)58 b(is)h(simply)0 7524 y(a)e(w)-5 b(ater-acetone)55
3463     b(mixture\).)78 b(This)56 b(system)g(will)f(allo)-5 b(w)56
3464     b(the)h(in)-5 b(v)g(estigation)54 b(to)i(answ)-5 b(er)57
3465     b(suc)-5 b(h)57 b(questions)e(as)h(the)0 7795 y(follo)-5
3466     b(wing:)73 b(Ho)-5 b(w)49 b(atomistic)e(do)5 b(es)48
3467     b(the)h(mo)5 b(del)47 b(ha)-5 b(v)g(e)49 b(to)g(b)5 b(e)49
3468     b(to)f(correctly)g(predict)g(the)h(microphase)e(separation?)0
3469     8066 y(Do)5 b(es)60 b(the)h(distribution)e(of)h(AAc)i(monomers)d
3470     (a\013ect)h(the)h(size)f(of)g(the)h(ca)-5 b(vities)58
3471     b(formed?)81 b(If)60 b(so,)h(in)f(what)h(w)-5 b(a)g(y?)0
3472     8337 y(Ho)g(w)54 b(do)f(aggregates)g(form?)77 b(Do)54
3473     b(the)f(gel)f(strands)h(collapse)f(laterally)f(together,)j(or)f
3474     (longitudinally)e(along)h(the)0 8608 y(p)5 b(olymerization)58
3475     b(axis?)282 8879 y(After)i(sim)-5 b(ulating)58 b(the)h(NIP)-15
3476     b(A/AAc)61 b(system,)d(the)i(in)-5 b(v)g(estigation)57
3477     b(will)i(turn)i(to)e(the)h(system)f(of)h(Hork)-10 b(a)-5
3478     b(y)60 b Fg(et)0 9150 y(al.)81 b Fi(Here)61 b(the)g(system)e(is)h(a)h
3479     (neutralized)e(so)5 b(dium)59 b(p)5 b(oly)-5 b(acrylate)59
3480     b(gel.)80 b(The)61 b(\014rst)f(question)g(to)g(answ)-5
3481     b(er)61 b(is)f(then,)0 9421 y(will)k(the)g(atomistic)f(detail)g(from)h
3482     (the)h(\014rst)f(sim)-5 b(ulation)62 b(b)5 b(e)65 b(su\016cien)-5
3483     b(t)63 b(for)i(the)f(more)h(highly)f(c)-5 b(harged)64
3484     b(gel,)h(or)0 9692 y(will)58 b(the)h(system)f(require)h(more)g(detail)e
3485     (in)i(the)g(mo)5 b(del.)79 b(Up)5 b(on)60 b(completion)d(of)i(the)f
3486     (sim)-5 b(ulation)57 b(the)i(follo)-5 b(wing)0 9963 y(questions)47
3487     b(will)g(b)5 b(e)49 b(addressed:)73 b(Is)48 b(a)g(microphase)f
3488     (separation)h(observ)-5 b(ed)47 b(in)i(the)f(p)5 b(oly)-5
3489     b(electrolyte)45 b(gel)j(collapse?)0 10234 y(If)56 b(so,)h(what)f(is)g
3490     (the)g(distribution)f(and)h(size)g(of)g(these)g(ca)-5
3491     b(vities?)77 b(Is)56 b(the)g(collapse)f(longitudinal)f(or)j(lateral)e
3492     (with)0 10505 y(resp)5 b(ect)63 b(to)h(the)f(gel)g(structure?)91
3493     b(Ho)-5 b(w)64 b(w)-5 b(ould)64 b(the)f(system)g(b)5
3494     b(e)64 b(a\013ected)f(b)-5 b(y)64 b(the)f(in)-5 b(tro)5
3495     b(duction)62 b(of)i(a)g(triv)-10 b(alen)-5 b(t)0 10776
3496     y(cation?)109 b(W)-15 b(ould)70 b(the)g(system)e(collapse)h(in)h(the)g
3497     (same)f(w)-5 b(a)g(y)71 b(or)f(w)-5 b(ould)70 b(a)h(di\013eren)-5
3498     b(t)69 b(t)-5 b(yp)5 b(e)70 b(of)g(p)5 b(olymer)69 b(strand)3855
3499     11315 y(2)p eop
3500     %%Page: 3 3
3501     3 2 bop 0 199 a Fi(in)-5 b(teraction)59 b(b)5 b(e)60
3502     b(observ)-5 b(ed.)282 470 y(Ha)g(ving)74 b(sim)-5 b(ulated)73
3503     b(b)5 b(oth)74 b(systems,)h(it)f(will)g(then)g(b)5 b(e)74
3504     b(of)g(in)-5 b(terest)73 b(to)h(compare)g(the)g(results)f(of)h(the)g(t)
3505     -5 b(w)g(o)0 741 y(systems.)83 b(Here,)62 b(suc)-5 b(h)62
3506     b(questions)e(as)i(the)f(follo)-5 b(wing)61 b(can)g(b)5
3507     b(e)62 b(in)-5 b(v)g(estigated:)81 b(Do)62 b(b)5 b(oth)62
3508     b(systems)e(sho)-5 b(w)62 b(similar)0 1012 y(structural)42
3509     b(features)g(when)i(collapsed?)73 b(Is)43 b(there)g(a)g(simple)f(mo)5
3510     b(del)42 b(to)h(accoun)-5 b(t)43 b(for)g(and)g(predict)g(those)f
3511     (features)0 1283 y(in)60 b(one)g(or)h(b)5 b(oth)60 b(systems?)0
3512     1916 y Fj(3)269 b(Metho)7 b(dology)0 2367 y Fi(In)43
3513     b(the)g(researc)-5 b(h,)46 b(I)d(will)f(b)5 b(e)44 b(emplo)-5
3514     b(ying)41 b(Gibbs)i(ensem)-5 b(ble)41 b(Mon)-5 b(te)43
3515     b(Carlo)g(tec)-5 b(hniques.)5940 2301 y Fh(6,)18 b(7)6220
3516     2367 y Fi(The)43 b(Gibbs)g(ensem)-5 b(ble)0 2638 y(allo)g(ws)47
3517     b(the)h(sim)-5 b(ulation)45 b(of)j(t)-5 b(w)g(o)48 b(phases)g(in)f
3518     (equilibrium,)h(b)-5 b(y)48 b(sim)-5 b(ulating)46 b(t)-5
3519     b(w)g(o)48 b(separate)f(systems,)i(one)f(for)g(eac)-5
3520     b(h)0 2909 y(phase,)73 b(and)f(linking)e(the)h(t)-5 b(w)g(o)72
3521     b(systems)e(through)h(particle)f(and)i(v)-5 b(olume)70
3522     b(exc)-5 b(hanges.)112 b(The)72 b(total)f(system)f(is)0
3523     3180 y(then)64 b(considered)e(to)i(b)5 b(e)64 b(at)g(constan)-5
3524     b(t)63 b Ff(N)20 b(V)40 b(T)90 b Fi(where)64 b Ff(T)89
3525     b Fi(is)64 b(the)f(constan)-5 b(t)63 b(temp)5 b(erature)63
3526     b(of)g(the)h(system,)f Ff(N)84 b Fi(is)0 3451 y(the)57
3527     b(total)g(n)-5 b(um)g(b)5 b(er)58 b(of)f(particles,)f(and)i
3528     Ff(V)98 b Fi(is)58 b(the)f(total)g(v)-5 b(olume.)78 b(Eac)-5
3529     b(h)57 b(particle)g(and)g(v)-5 b(olume)57 b(exc)-5 b(hange)57
3530     b(m)-5 b(ust)0 3722 y(then)66 b(b)5 b(e)67 b(constrained)e(to)i
3531     Ff(N)87 b Fi(and)66 b Ff(V)41 b Fi(:)93 b Ff(N)80 b Fi(=)62
3532     b Ff(N)3338 3750 y Fe(I)3462 3722 y Fi(+)45 b Ff(N)3794
3533     3750 y Fe(I)10 b(I)4012 3722 y Fi(and)67 b Ff(V)101 b
3534     Fi(=)62 b Ff(V)4888 3750 y Fe(I)5012 3722 y Fi(+)45 b
3535     Ff(V)5304 3750 y Fe(I)10 b(I)5456 3722 y Fi(.)98 b(The)67
3536     b(whole)g(system)e(then)h(has)0 3993 y(the)60 b(follo)-5
3537     b(wing)59 b(partition)g(function:)64 4818 y Ff(Q)208
3538     4846 y Fe(N)14 b(V)31 b(T)608 4818 y Fi(=)1048 4695 y(1)p
3539     820 4776 548 7 v 820 4943 a(\003)946 4891 y Fh(3)p Fe(N)1151
3540     4943 y Ff(N)20 b Fi(!)1536 4607 y Fe(N)1479 4657 y Fd(X)1418
3541     5024 y Fe(N)1530 5046 y Fc(I)1600 5024 y Fh(=0)1811 4531
3542     y Fd( )2055 4692 y Ff(N)2025 4963 y(N)2171 4991 y Fe(I)2334
3543     4531 y Fd(!)2496 4588 y(Z)2662 4641 y Fe(V)2588 4966
3544     y Fh(0)2814 4818 y Ff(dV)3015 4846 y Fe(I)3125 4818 y
3545     Ff(V)3272 4733 y Fe(N)3384 4755 y Fc(I)3231 4873 y Fe(I)3462
3546     4818 y Ff(V)3609 4733 y Fe(N)3721 4755 y Fc(I)8 b(I)3568
3547     4873 y Fe(I)i(I)3892 4588 y Fd(Z)4089 4818 y Ff(d\030)4272
3548     4733 y Fe(N)4384 4755 y Fc(I)4264 4873 y Fe(I)4462 4818
3549     y Fi(exp)30 b([)p Fb(\000)p Ff(\014)10 b(U)5199 4846
3550     y Fe(I)5279 4818 y Fi(\()p Ff(N)5496 4846 y Fe(I)5575
3551     4818 y Fi(\)])5727 4588 y Fd(Z)5923 4818 y Ff(d\030)6106
3552     4733 y Fe(N)6218 4755 y Fc(I)e(I)6098 4873 y Fe(I)i(I)6359
3553     4818 y Fi(exp)30 b([)o Fb(\000)p Ff(\014)10 b(U)7095
3554     4846 y Fe(I)g(I)7247 4818 y Fi(\()p Ff(N)7464 4846 y
3555     Fe(I)g(I)7615 4818 y Fi(\)])7568 5216 y(\(1\))282 5487
3556     y(Where)71 b(\003)h(is)e(the)h(thermal)f(de)h(Broglie)f(w)-5
3557     b(a)g(v)g(elength,)72 b Ff(\030)79 b Fi(is)70 b(the)h(scaled)f(co)5
3558     b(ordinates)70 b(of)g(the)h(particles)e(in)0 5758 y(the)h(t)-5
3559     b(w)g(o)69 b(regions,)i Ff(\014)76 b Fi(=)1866 5687 y
3560     Fh(1)p 1761 5716 281 7 v 1761 5821 a Fe(k)1834 5843 y
3561     Fc(B)1940 5821 y Fe(T)2062 5758 y Fi(,)c(here)e Ff(k)2684
3562     5786 y Fe(B)2875 5758 y Fi(is)f(Boltzman's)e(constan)-5
3563     b(t,)71 b(and)f Ff(U)20 b Fi(\()p Ff(N)g Fi(\))69 b(is)g(the)h(total)f
3564     (in)-5 b(termolecular)0 6029 y(p)5 b(oten)-5 b(tial)68
3565     b(for)i(the)g(in)-5 b(teractions)68 b(of)h Ff(N)91 b
3566     Fi(particles.)107 b(An)70 b(ensem)-5 b(ble)69 b(with)g(this)g(giv)-5
3567     b(en)70 b(partition)e(function)h(will)0 6300 y(ha)-5
3568     b(v)g(e)60 b(the)g(follo)-5 b(wing)59 b(probabilit)-5
3569     b(y)59 b(densit)-5 b(y:)771 6842 y Ff(\032)p Fi(\()p
3570     Ff(N)1082 6870 y Fe(I)1161 6842 y Ff(;)30 b(V)1348 6870
3571     y Fe(I)1428 6842 y Fi(;)g Ff(N)10 b(;)30 b(V)10 b(;)30
3572     b(T)25 b Fi(\))50 b Fb(/)2611 6719 y Ff(N)20 b Fi(!)p
3573     2407 6800 625 7 v 2407 6967 a Ff(N)2553 6995 y Fe(I)2633
3574     6967 y Fi(!)p Ff(N)2830 6995 y Fe(I)10 b(I)2981 6967
3575     y Fi(!)3052 6842 y(exp)30 b([)o Ff(N)3556 6870 y Fe(I)3666
3576     6842 y Fi(ln)g Ff(V)3954 6870 y Fe(I)4075 6842 y Fi(+)40
3577     b Ff(N)4402 6870 y Fe(I)10 b(I)4584 6842 y Fi(ln)30 b
3578     Ff(V)4872 6870 y Fe(I)10 b(I)5064 6842 y Fb(\000)41 b
3579     Ff(\014)10 b(U)5483 6870 y Fe(I)5562 6842 y Fi(\()p Ff(N)5779
3580     6870 y Fe(I)5859 6842 y Fi(\))40 b Fb(\000)h Ff(\014)10
3581     b(U)6389 6870 y Fe(I)g(I)6540 6842 y Fi(\()p Ff(N)6757
3582     6870 y Fe(I)g(I)6908 6842 y Fi(\)])538 b(\(2\))282 7267
3583     y(With)58 b(these)h(t)-5 b(w)g(o)59 b(equations,)e(one)i(can)g(then)f
3584     (sp)5 b(ecify)58 b(the)g(probabilit)-5 b(y)58 b(of)g(accepting)g(or)h
3585     (rejecting)f(an)-5 b(y)59 b(of)0 7538 y(the)i(Mon)-5
3586     b(te)60 b(Carlo)h(mo)-5 b(v)g(es)60 b(in)h(the)g(sim)-5
3587     b(ulation.)79 b(F)-15 b(or)61 b(Gibbs)f(ensem)-5 b(ble)59
3588     b(Mon)-5 b(te)60 b(Carlo,)h(there)g(are)g(three)g(t)-5
3589     b(yp)5 b(es)0 7809 y(of)62 b(mo)-5 b(v)g(es)62 b(at)h(eac)-5
3590     b(h)62 b(trial)g(step.)87 b(The)63 b(\014rst)f(is)g(a)h(random)g
3591     (translational)d(mo)-5 b(v)g(e)62 b(within)g(one)h(of)f(the)h(sim)-5
3592     b(ulation)0 8080 y(b)5 b(o)-5 b(xes.)80 b(This)60 b(has)g(the)g(follo)
3593     -5 b(wing)59 b(acceptance)g(probabilit)-5 b(y:)2479 8622
3594     y Fb(P)2605 8686 y Fi(translation)3524 8622 y(=)51 b(min)30
3595     b([)o(1)p Ff(;)g Fi(exp)g(\()p Fb(\000)p Ff(\014)10 b
3596     Fi(\001)p Ff(U)20 b Fi(\))o(])2246 b(\(3\))282 9023 y(Where)59
3597     b(\001)p Ff(U)78 b Fi(is)57 b(the)i(c)-5 b(hange)58 b(in)g(the)g(total)
3598     f(energy)h(of)h(the)f(b)5 b(o)-5 b(x)58 b(due)h(to)f(the)g
3599     (con\014gurational)f(c)-5 b(hange.)79 b(The)0 9294 y(second)57
3600     b(t)-5 b(yp)5 b(e)58 b(of)f(mo)-5 b(v)g(e)58 b(is)f(a)h(v)-5
3601     b(olume)56 b(c)-5 b(hange,)58 b(where)g(b)5 b(o)-5 b(x)58
3602     b(I)g(is)f(expanded)h(or)g(con)-5 b(tracted)57 b(b)-5
3603     b(y)58 b(\001)p Ff(V)98 b Fi(and)58 b(b)5 b(o)-5 b(x)58
3604     b(I)5 b(I)0 9565 y(is)61 b(con)-5 b(tracted)61 b(or)h(expanded)f(b)-5
3605     b(y)62 b(the)f(same)g(amoun)-5 b(t)60 b(to)i(satisfy)e(the)h(constrain)
3606     -5 b(t:)81 b Ff(V)93 b Fi(=)53 b Ff(V)6339 9593 y Fe(I)6460
3607     9565 y Fi(+)42 b Ff(V)6749 9593 y Fe(I)10 b(I)6900 9565
3608     y Fi(.)84 b(this)61 b(mo)-5 b(v)g(e)0 9836 y(has)60 b(the)g(follo)-5
3609     b(wing)59 b(acceptance)g(probabilit)-5 b(y:)685 10378
3610     y Fb(P)811 10441 y Fi(v)g(olume)1435 10378 y(=)51 b(min)1961
3611     10140 y Fd(\024)2048 10378 y Fi(1)p Ff(;)30 b Fi(exp)2528
3612     10140 y Fd(\022)2650 10378 y Fb(\000)p Ff(\014)10 b Fi(\001)p
3613     Ff(U)3180 10406 y Fe(I)3300 10378 y Fb(\000)41 b Ff(\014)10
3614     b Fi(\001)p Ff(U)3871 10406 y Fe(I)3990 10378 y Fi(+)41
3615     b Ff(N)4318 10406 y Fe(I)4428 10378 y Fi(ln)4630 10255
3616     y Ff(V)4736 10283 y Fe(I)4856 10255 y Fi(+)g(\001)p Ff(V)p
3617     4630 10335 707 7 v 4890 10502 a(V)4996 10530 y Fe(I)5397
3618     10378 y Fi(+)f Ff(N)5724 10406 y Fe(I)10 b(I)5906 10378
3619     y Fi(ln)6108 10255 y Ff(V)6214 10283 y Fe(I)g(I)6406
3620     10255 y Fb(\000)41 b Fi(\001)p Ff(V)p 6108 10335 778
3621     7 v 6368 10502 a(V)6474 10530 y Fe(I)10 b(I)6906 10140
3622     y Fd(\023\025)7568 10378 y Fi(\(4\))282 10804 y(The)69
3623     b(third)g(p)5 b(ossible)67 b(mo)-5 b(v)g(e)68 b(is)g(the)g(exc)-5
3624     b(hange)68 b(of)g(particle)g(b)5 b(et)-5 b(w)g(een)68
3625     b(b)5 b(o)-5 b(xes.)104 b(The)69 b(follo)-5 b(wing)67
3626     b(acceptance)3855 11315 y(3)p eop
3627     %%Page: 4 4
3628     4 3 bop 0 199 a Fi(probabilit)-5 b(y)59 b(is)h(for)g(the)g(transfer)g
3629     (of)g(a)g(particle)f(from)h(b)5 b(o)-5 b(x)61 b(I)5 b(I)60
3630     b(to)g(b)5 b(o)-5 b(x)60 b(I.)1665 741 y Fb(P)1791 805
3631     y Fi(transfer)2464 741 y(=)51 b(min)2989 503 y Fd(\024)3077
3632     741 y Fi(1)p Ff(;)3496 618 y(N)3642 646 y Fe(I)10 b(I)3793
3633     618 y Ff(V)3899 646 y Fe(I)p 3268 699 938 7 v 3268 866
3634     a Fi(\()p Ff(N)3485 894 y Fe(I)3605 866 y Fi(+)41 b(1\))p
3635     Ff(V)4055 894 y Fe(I)10 b(I)4226 741 y Fi(exp)30 b(\()p
3636     Fb(\000)p Ff(\014)10 b Fi(\001)p Ff(U)5135 769 y Fe(I)5255
3637     741 y Fb(\000)41 b Ff(\014)10 b Fi(\001)p Ff(U)5826 769
3638     y Fe(I)g(I)5976 741 y Fi(\))6047 503 y Fd(\025)7568 741
3639     y Fi(\(5\))282 1184 y(F)-15 b(or)64 b(a)g(m)-5 b(ulticomp)5
3640     b(onen)-5 b(t)61 b(mixture,)i(equation)g(5)h(is)f(c)-5
3641     b(hanged)64 b(b)-5 b(y)64 b(replacing)f Ff(N)5833 1212
3642     y Fe(I)5977 1184 y Fi(and)h Ff(N)6480 1212 y Fe(I)10
3643     b(I)6695 1184 y Fi(with)64 b Ff(N)7259 1212 y Fe(I)10
3644     b(;j)7507 1184 y Fi(and)0 1455 y Ff(N)146 1483 y Fe(I)g(I)g(;j)462
3645     1455 y Fi(resp)5 b(ectiv)-5 b(ely)-15 b(.)78 b(Where)60
3646     b Ff(j)10 b Fi(,)61 b(is)f(the)g(sp)5 b(ecies)59 b(of)h(the)g(particle)
3647     f(b)5 b(eing)60 b(transfered.)282 1726 y(In)c(addition)f(to)h(the)g
3648     (standard)g(Gibbs)f(ensem)-5 b(ble)54 b(trial)i(mo)-5
3649     b(v)g(es,)55 b(I)h(will)f(also)h(mak)-5 b(e)55 b(use)h(of)g(a)g(h)-5
3650     b(ybrid)56 b(Mon)-5 b(te)0 1997 y(Carlo)435 1931 y Fh(7,)18
3651     b(8)717 1997 y Fi(mo)-5 b(v)g(e)73 b(for)i(the)f(b)5
3652     b(o)-5 b(x)75 b(con)-5 b(taining)73 b(the)h(p)5 b(olymer)74
3653     b(gel)g(net)-5 b(w)g(ork.)122 b(This)75 b(will)e(allo)-5
3654     b(w)74 b(me)g(to)g(run)h(short)0 2268 y(molecular)56
3655     b(dynamic)h(in)-5 b(tegration)56 b(paths)h(in)h(order)g(to)g(relax)f
3656     (the)h(p)5 b(olymer)56 b(structure.)79 b(In)58 b(the)f(h)-5
3657     b(ybrid)58 b(Mon)-5 b(te)0 2539 y(Carlo)65 b(trial)e(mo)-5
3658     b(v)g(e,)64 b(the)h(system)e(is)h(giv)-5 b(en)64 b(a)g(Boltzmann)f(w)-5
3659     b(eigh)g(ted)64 b(distribution)e(of)j(v)-5 b(elo)5 b(cities)61
3660     b(and)k(allo)-5 b(w)g(ed)0 2810 y(to)55 b(ev)-5 b(olv)g(e)55
3661     b(through)h(the)f(in)-5 b(tegration)54 b(of)h(the)g(equations)g(of)g
3662     (motion)f(for)i(a)f(giv)-5 b(en)55 b(n)-5 b(um)g(b)5
3663     b(er)56 b(of)f(time)f(steps.)78 b(The)0 3081 y(\014nal)60
3664     b(con\014guration)g(is)f(then)i(accepted)e(or)i(rejected)e(with)h(the)g
3665     (follo)-5 b(wing)59 b(probabilit)-5 b(y:)2532 3623 y
3666     Fb(P)2658 3686 y Fi(dynamics)3460 3623 y(=)51 b(min)30
3667     b([)o(1)p Ff(;)g Fi(exp)g(\()p Fb(\000)p Ff(\014)10 b
3668     Fi(\001)p Fb(H)r Fi(\))n(])2299 b(\(6\))0 4023 y(Where)60
3669     b(\001)p Fb(H)i Fi(is)e(the)g(c)-5 b(hange)60 b(in)g(the)g(total)f
3670     (Hamiltonian)g(of)h(the)g(system.)282 4294 y(These)73
3671     b(four)h(mo)-5 b(v)g(es)72 b(will)g(form)h(the)g(basis)f(of)h(the)g
3672     (sim)-5 b(ulation,)73 b(ho)-5 b(w)g(ev)g(er,)76 b(there)d(are)h(still)d
3673     (some)h(consid-)0 4565 y(erations)i(with)i(whic)-5 b(h)75
3674     b(the)g(\014nal)g(form)g(of)g(the)h(sim)-5 b(ulation)73
3675     b(will)h(need)h(to)h(deal.)125 b(The)75 b(main)g(p)5
3676     b(oin)-5 b(t)75 b(needing)0 4836 y(dev)-5 b(elopmen)g(t,)65
3677     b(will)g(b)5 b(e)66 b(a)g(metho)5 b(d)65 b(of)h(setting)e(the)i(c)-5
3678     b(hemical)64 b(p)5 b(oten)-5 b(tial)64 b(in)i(the)g(solv)-5
3679     b(en)g(t)64 b(reserv)-5 b(oir)66 b(b)5 b(o)-5 b(x.)97
3680     b(Be-)0 5107 y(cause)69 b(of)h(the)g(particle)e(transfer)h(mo)-5
3681     b(v)g(e)69 b(in)h(the)g(Gibbs)f(ensem)-5 b(ble,)70 b(the)f(c)-5
3682     b(hemical)68 b(p)5 b(oten)-5 b(tials)68 b(of)i(b)5 b(oth)70
3683     b(b)5 b(o)-5 b(xes)0 5378 y(will)62 b(\015uctuate)g(as)g(particles)f
3684     (are)i(exc)-5 b(hanged)62 b(b)5 b(et)-5 b(w)g(een)62
3685     b(the)h(b)5 b(o)-5 b(xes.)87 b(The)63 b(t)-5 b(w)g(o)62
3686     b(b)5 b(o)-5 b(xes)63 b(will)e(then)i(settle)e(to)h(the)0
3687     5649 y(same)52 b(c)-5 b(hemical)51 b(p)5 b(oten)-5 b(tial)51
3688     b(once)i(equilibrium)e(is)h(reac)-5 b(hed.)77 b(This)53
3689     b(p)5 b(oses)52 b(a)h(problem)g(for)f(the)h(solv)-5 b(en)g(t)52
3690     b(reserv)-5 b(oir)0 5920 y(b)5 b(o)-5 b(x,)62 b(as)g(it)g(will)f(not)h
3691     (truly)g(b)5 b(e)62 b(a)h(solv)-5 b(en)g(t)61 b(reserv)-5
3692     b(oir)61 b(if)h(it's)f(c)-5 b(hemical)60 b(p)5 b(oten)-5
3693     b(tial)60 b(\015uctuates.)85 b(Meaning,)61 b(if)g(the)0
3694     6191 y(solv)-5 b(en)g(t)62 b(concen)-5 b(tration)62 b(in)h(the)g(b)5
3695     b(o)-5 b(x)64 b(\015uctuates,)e(then)h(it)g(is)g(not)g(truly)g
3696     (represen)-5 b(tativ)g(e)62 b(of)h(the)g(bulk)g(solv)-5
3697     b(en)g(t,)0 6462 y(whic)g(h)67 b(exp)5 b(erimen)-5 b(tally)65
3698     b(w)-5 b(ould)67 b(sta)-5 b(y)66 b(at)i(constan)-5 b(t)66
3699     b(concen)-5 b(tration.)99 b(Therefore,)68 b(a)f(metho)5
3700     b(d)67 b(will)f(need)h(to)g(b)5 b(e)0 6733 y(dev)-5 b(elop)5
3701     b(ed)59 b(that)h(will)g(allo)-5 b(w)60 b(me)f(to)i(regulate)e(the)h(c)
3702     -5 b(hemical)59 b(p)5 b(oten)-5 b(tial)58 b(in)i(the)h(solv)-5
3703     b(en)g(t)59 b(b)5 b(o)-5 b(x.)282 7004 y(One)73 b(p)5
3704     b(ossible)71 b(metho)5 b(d,)74 b(is)e(that)g(of)h(parallel)e(temp)5
3705     b(ering.)4437 6938 y Fh(9)4631 7004 y Fi(Normally)-15
3706     b(,)74 b(parallel)d(temp)5 b(ering)71 b(is)h(used)g(as)0
3707     7275 y(a)c(metho)5 b(d)67 b(to)h(more)f(fully)g(sample)f(the)i(phase)f
3708     (space)h(of)f(a)h(sim)-5 b(ulation)65 b(b)-5 b(y)68 b(sim)-5
3709     b(ulating)66 b(parallel)g(systems)g(at)0 7546 y(higher)80
3710     b(temp)5 b(eratures,)83 b(and)d(at)f(in)-5 b(terv)-10
3711     b(als)79 b(attempting)f(to)h(sw)-5 b(ap)80 b(one)g(of)g(the)g
3712     (con\014gurations)e(of)i(the)g(high)0 7817 y(temp)5 b(erature)63
3713     b(runs)g(with)h(that)f(of)g(the)g(lo)-5 b(w)64 b(temp)5
3714     b(erature)63 b(sim)-5 b(ulation)61 b(y)-5 b(ou)63 b(are)h(in)-5
3715     b(terested)62 b(in.)89 b(I)64 b(prop)5 b(ose)63 b(to)0
3716     8088 y(mo)5 b(dify)64 b(this)h(metho)5 b(d)64 b(sligh)-5
3717     b(tly)-15 b(,)64 b(and)i(instead)e(of)h(sim)-5 b(ulating)63
3718     b(other)i(systems)f(at)h(higher)g(temp)5 b(eratures,)65
3719     b(run)0 8359 y(sim)-5 b(ulations)71 b(of)j(duplicates)f(of)g(the)h
3720     (solv)-5 b(en)g(t)73 b(b)5 b(o)-5 b(xes)74 b(at)g(a)g(set)g(c)-5
3721     b(hemical)72 b(p)5 b(oten)-5 b(tial,)76 b(and)e(p)5 b(erio)g(dically)72
3722     b(sw)-5 b(ap)0 8630 y(their)67 b(con\014gurations)g(with)h(that)f(of)g
3723     (the)h(solv)-5 b(en)g(t)66 b(reserv)-5 b(oir)68 b(that)f(is)g
3724     (equilibrating)f(with)i(the)f(gel)g(b)5 b(o)-5 b(x.)103
3725     b(The)0 8901 y(acceptance)68 b(probabilit)-5 b(y)68 b(for)i(suc)-5
3726     b(h)69 b(an)h(exc)-5 b(hange)69 b(will)g(then)g(need)h(to)f(b)5
3727     b(e)70 b(determined)e(b)5 b(efore)69 b(this)g(metho)5
3728     b(d)0 9172 y(could)60 b(b)5 b(e)60 b(implemen)-5 b(ted)58
3729     b(within)i(the)g(sim)-5 b(ulation.)282 9443 y(A)83 b(second)f(problem)f
3730     (arises)h(for)g(the)g(sim)-5 b(ulation)79 b(of)j(the)g(ionic)g(salts)f
3731     (in)h(solution.)144 b(Here)83 b(the)f(particle)0 9714
3732     y(insertion)61 b(and)i(deletion)e(metho)5 b(ds)61 b(run)i(the)g(p)5
3733     b(ossibilit)-5 b(y)60 b(of)i(b)5 b(eing)62 b(rejected)f(at)i(ev)-5
3734     b(ery)62 b(attempt.)86 b(The)62 b(reason)0 9985 y(for)79
3735     b(this)g(is)g(due)h(to)f(the)g(immense)f(c)-5 b(hange)79
3736     b(in)g(con\014gurational)g(energy)g(asso)5 b(ciated)78
3737     b(with)h(the)g(remo)-5 b(v)-10 b(al)79 b(or)0 10256 y(insertion)53
3738     b(of)h(a)g(c)-5 b(harged)54 b(sp)5 b(ecies)53 b(in)-5
3739     b(to)53 b(a)i(solution.)76 b(One)55 b(p)5 b(ossible)52
3740     b(metho)5 b(d)54 b(around)g(this)g(is)f(a)i(metho)5 b(d)53
3741     b(similar)0 10527 y(to)65 b(that)g(of)f(Lyubarsev)h Fg(et)k(al.)2133
3742     10461 y Fh(10)2378 10527 y Fi(Whereb)-5 b(y)65 b(particle)e(insertions)
3743     h(are)h(attempted)e(through)i(the)g(slo)-5 b(w)65 b(gro)-5
3744     b(wth)0 10798 y(of)52 b(the)g(particle)e(in)-5 b(to)52
3745     b(the)g(system.)76 b(In)52 b(this)f(case,)i(the)e(sim)-5
3746     b(ulation)50 b(w)-5 b(ould)52 b(allo)-5 b(w)51 b(the)h(slo)-5
3747     b(w)52 b(gro)-5 b(wth)52 b(of)g(a)g(c)-5 b(harge)3855
3748     11315 y(4)p eop
3749     %%Page: 5 5
3750     5 4 bop 0 199 a Fi(on)-5 b(to)71 b(an)h(inserted)f(\\neutral")g(ion.)
3751     114 b(Therefore)71 b(allo)-5 b(wing)71 b(time)f(for)i(the)g(solv)-5
3752     b(en)g(t)70 b(to)i(rearrange)g(itself)d(ab)5 b(out)0
3753     470 y(the)60 b(new)h(c)-5 b(harge)60 b(and)h(increase)e(the)h(lik)-5
3754     b(eliho)5 b(o)g(d)58 b(of)i(the)h(insertion)e(b)5 b(eing)60
3755     b(accepted.)0 1103 y Fj(4)269 b(Prop)7 b(osal)91 b(Summary)0
3756     1554 y Fi(Through)83 b(the)e(use)h(of)g(standard)g(Mon)-5
3757     b(te)81 b(Carlo)h(tec)-5 b(hniques)81 b(I)h(prop)5 b(ose)81
3758     b(to)h(sim)-5 b(ulate)80 b(\014rst)i(the)g(system)f(of)0
3759     1825 y(Shiba)-5 b(y)g(ama)61 b Fg(et)66 b(al.)p Fi(,)c(and)h(then)e
3760     (second)h(that)f(of)h(Hork)-10 b(a)-5 b(y)62 b Fg(et)67
3761     b(al.)85 b Fi(In)62 b(the)g(\014rst)f(sim)-5 b(ulation)60
3762     b(I)i(plan)f(to)h(w)-5 b(ork)62 b(out)0 2096 y(man)-5
3763     b(y)49 b(of)g(the)g(details)f(concerning)h(the)g(metho)5
3764     b(dology)48 b(and)h(the)g(atomistic)e(detail)i(of)g(the)g(mo)5
3765     b(del)48 b(emplo)-5 b(y)g(ed.)75 b(In)0 2367 y(the)53
3766     b(second)g(sim)-5 b(ulation,)51 b(I)j(will)e(use)h(the)g(mo)5
3767     b(del)52 b(and)i(metho)5 b(dology)52 b(from)g(the)h(previous)g(sim)-5
3768     b(ulation)51 b(and)i(add)0 2638 y(to)61 b(it)g(the)h(capabilit)-5
3769     b(y)59 b(of)i(sim)-5 b(ulating)59 b(ions)i(within)g(the)g(solution.)82
3770     b(Results)60 b(from)h(b)5 b(oth)61 b(systems)f(will)h(b)5
3771     b(e)61 b(used)0 2909 y(to)73 b(determine)f(the)g(micro-structural)f
3772     (details)g(of)i(the)g(rev)-5 b(ersible)72 b(gel)g(collapse)g(observ)-5
3773     b(ed)72 b(in)h(b)5 b(oth)73 b(p)5 b(olymer)0 3180 y(gels.)0
3774     3812 y Fj(References)91 4263 y Fi([1])90 b(T)-15 b(aski,)59
3775     b(I.;)120 b(Bryne,)60 b(P)-15 b(.)60 b(M.)f Fg(Biop)-9
3776     b(olymers)75 b Fa(1992,)59 b Fg(32,)h Fi(1019-1023.)91
3777     4684 y([2])90 b(T)-15 b(asaki,)59 b(I.;)120 b(Byrne,)60
3778     b(P)-15 b(.)59 b(M.)h Fg(Biop)-9 b(olymers)75 b Fa(1994,)59
3779     b Fg(34,)h Fi(209)h(-)f(215.)91 5104 y([3])90 b(Hork)-10
3780     b(a)-5 b(y)-15 b(,)60 b(F.;)120 b(T)-15 b(aski,)59 b(I.;)120
3781     b(Basser,)59 b(P)-15 b(.)60 b(J.)h Fg(Biomacr)-9 b(omole)g(cules)72
3782     b Fa(2000,)59 b Fg(1,)h Fi(84)h(-)f(90.)91 5525 y([4])90
3783     b(T)-15 b(anak)-10 b(a,)60 b(T.)g Fg(Physic)-9 b(al)65
3784     b(R)-9 b(eview)63 b(L)-9 b(etters)76 b Fa(1978,)59 b
3785     Fg(40,)h Fi(820)g(-)g(823.)91 5945 y([5])90 b(Shiba)-5
3786     b(y)g(ama,)56 b(M.;)115 b(T)-15 b(anak)-10 b(a,)57 b(T.;)115
3787     b(Han,)58 b(C.)g(C.)g Fg(Journal)63 b(of)f(Chemic)-9
3788     b(al)62 b(Physics)74 b Fa(1992,)56 b Fg(97,)j Fi(6842)e(-)h(6854.)91
3789     6366 y([6])90 b(P)-5 b(anagiotop)5 b(oulos,)57 b(A.)k(Z.)f
3790     Fg(Journal)65 b(of)g(Physics:)84 b(Condense)-9 b(d)65
3791     b(Matter)80 b Fa(2000,)59 b Fg(12,)h Fi(R25)g(-)h(R52.)91
3792     6786 y([7])90 b(F)-15 b(renk)-5 b(el,)59 b(D.;)120 b(Smit,)59
3793     b(B.)g Fg(Understanding)66 b(Mole)-9 b(cular)64 b(Simulation;)71
3794     b Fi(Academic)59 b(Press:)79 b(London,)60 b(1996.)91
3795     7206 y([8])90 b(Mehlig,)58 b(B.;)120 b(Heermann,)60 b(D.)g(W.;)120
3796     b(F)-15 b(orrest,)59 b(B.)h(M.)g Fg(Physic)-9 b(al)65
3797     b(R)-9 b(eview)63 b(B)80 b Fa(1992,)58 b Fg(45,)j Fi(679)f(-)g(685.)91
3798     7627 y([9])90 b(Y)-15 b(amamoto,)58 b(R.;)120 b(Kob,)61
3799     b(W.)f Fg(Physic)-9 b(al)65 b(R)-9 b(eview)63 b(E)83
3800     b Fa(2000,)59 b Fg(61,)h Fi(5473)g(-)h(5476.)0 8047 y([10])90
3801     b(Lyubarsev,)57 b(A.)i(P)-15 b(.;)117 b(F)-15 b(orrisdahl,)57
3802     b(O.)i(K.;)117 b(Laaksonen,)58 b(A.)h Fg(Journal)64 b(of)f(Chemic)-9
3803     b(al)62 b(Physics)75 b Fa(1998,)57 b Fg(108,)374 8318
3804     y Fi(227)j(-)g(233.)3855 11315 y(5)p eop
3805     %%Trailer
3806     end
3807     userdict /end-hook known{end-hook}if
3808     %%EOF