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1 %% This BibTeX bibliography file was created using BibDesk.
2 %% http://bibdesk.sourceforge.net/
3
4
5 %% Created for Dan Gezelter at 2014-08-18 15:01:27 -0400
6
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8 %% Saved with string encoding Unicode (UTF-8)
9
10
11 @string{cpl = {Chem. Phys. Lett.}}
12
13 @string{jcp = {J. Chem. Phys.}}
14
15 @string{jctc = {J. Chem. Theory Comput.}}
16
17 @string{jpcb = {J. Phys. Chem. B}}
18
19 @string{jpcc = {J. Phys. Chem. C}}
20
21 @string{mp = {Mol. Phys.}}
22
23 @string{prl = {Phys. Rev. Lett.}}
24
25
26 @article{Dullweber1997,
27 Author = {A. Dullweber and B. Leimkuhler and R. McLachlan},
28 Date-Added = {2014-08-18 19:01:19 +0000},
29 Date-Modified = {2014-08-18 19:01:19 +0000},
30 Journal = jcp,
31 Number = 15,
32 Pages = {5840-5851},
33 Title = {Symplectic splitting methods for rigid body molecular dynamics},
34 Volume = 107,
35 Year = 1997}
36
37 @misc{supplemental,
38 Date-Added = {2014-08-08 14:43:15 +0000},
39 Date-Modified = {2014-08-08 14:43:38 +0000},
40 Title = {See Supplementary Material Document No. \underline{\hspace{1in}} for XXX.}}
41
42 @article{Izvekov:2008wo,
43 Abstract = {A short-range effective potential for long-range electrostatic interactions in homogeneously disordered condensed phase systems has been determined with a novel approach to coarse-graining in interaction space. As opposed to coarse-graining the system resolution, this approach "coarsens" the system's interactions by mapping multiple configurations of an accurate long-range atomistic potential onto a more efficient, short-range effective potential with a force-matching (FM) method. Developing an empirical potential in this manner is fundamentally different from existing strategies because it utilizes condensed-phase (as opposed to gas-phase) atomistic interactions to determine general pair potentials defined on distance meshes (as opposed to fitting predetermined functional forms). The resulting short-range (similar to 10 angstrom) effective potential reproduces structural, dynamical, and many thermodynamic properties of liquid water, ions in water, and hydrophobes in water, with unprecedented accuracy. The effective potential is also shown to be transferable to a nonaqueous molten salt system. With continued development, such effective potentials may provide an accurate and highly efficient alternative to Ewald-based long-range electrostatics methods.},
44 Address = {1155 16TH ST, NW, WASHINGTON, DC 20036 USA},
45 Author = {Izvekov, Sergei and Swanson, Jessica M. J. and Voth, Gregory A.},
46 Date = {APR 17 2008},
47 Date-Added = {2014-08-08 14:42:22 +0000},
48 Date-Modified = {2014-08-08 14:42:22 +0000},
49 Doi = {DOI 10.1021/jp710339n},
50 Journal = jpcb,
51 Pages = {4711-4724},
52 Publisher = {AMER CHEMICAL SOC},
53 Timescited = {0},
54 Title = {Coarse-graining in interaction space: A systematic approach for replacing long-range electrostatics with short-range Potentials},
55 Volume = {112},
56 Year = {2008},
57 Bdsk-Url-1 = {http://dx.doi.org/10.1021/jp710339n}}
58
59 @article{Impey82,
60 Author = {R.~W. Impey and P.~A. Madden and I.~R. McDonald},
61 Date-Added = {2014-08-08 14:29:07 +0000},
62 Date-Modified = {2014-08-08 14:29:07 +0000},
63 Journal = mp,
64 Number = {3},
65 Pages = {513-539},
66 Title = {Spectroscopic and transport properties of water: \uppercase{M}odel calculations and the interpretation of experimental results},
67 Volume = {46},
68 Year = {1982}}
69
70 @article{Perram88,
71 Author = {J.~W. Perram and H.~G. Petersen and S.~W. {de Leeuw}},
72 Date-Added = {2014-06-06 15:36:28 +0000},
73 Date-Modified = {2014-06-06 15:36:28 +0000},
74 Journal = mp,
75 Pages = {875-893},
76 Title = {An algorithm for the simulation of condensed matter that grows as the 3/2 power of the number of particles},
77 Volume = {65},
78 Year = {1988}}
79
80 @book{openmd,
81 Author = {J. Daniel Gezelter and Madan Lamichhane and Joseph Michalka and Patrick Louden and Kelsey M. Stocker and Shenyu Kuang and James Marr and Chunlei Li and Charles F. Vardeman and Teng Lin and Christopher J. Fennell and Xiuquan Sun and Kyle Daily and Yang Zheng and Matthew A. Meineke},
82 Date-Added = {2014-06-06 15:16:05 +0000},
83 Date-Modified = {2014-06-06 15:18:03 +0000},
84 Publisher = {An open source molecular dynamics engine},
85 Title = {OpenMD},
86 Url = {http://openmd.org (accessed 11/13/2013)},
87 Year = {version 2.2, {\tt http://openmd.org} (accessed 4/17/2014)},
88 Bdsk-Url-1 = {http://openmd.org%20(accessed%2011/13/2013)}}
89
90 @article{Nagai01081960,
91 Abstract = {The quadrupole array for the lowest energy of quadrupole interaction in crystals is obtained by generalizing Luttinger and Tisza's theory of dipole interaction. The theory is presented for the two kinds of problems: the simplest case of quadrupole pertaining to a doubly degenerate orbital eg and the other general cases both for the cubic crystals. In the former case, the quadrupole interaction is written in terms of fictitious spins, whence we can get the solution of lowest energy classically, serving to obtain some informations of the orbital ordering in compounds with Mn3+, Cu2+ and Cr2+. In the latter cases, the five components of the quadrupole are totally effective, leading to a rather complicated problem. The classical solution is, however, easily obtained, though somewhat complicated. The quadrupole array of lowest energy in face-centered cubic lattice proves to be realized in molecular crystals N2, N2O, CO2 and CO, which is accompanied with large quadrupole but without or with small dipole moment.},
92 Author = {Nagai, Ojiro and Nakamura, Tuto},
93 Date-Added = {2014-06-04 18:33:25 +0000},
94 Date-Modified = {2014-06-04 18:33:25 +0000},
95 Doi = {10.1143/PTP.24.432},
96 Journal = {Progress of Theoretical Physics},
97 Number = {2},
98 Pages = {432-454},
99 Title = {Quadrupole Interaction in Crystals},
100 Url = {http://ptp.oxfordjournals.org/content/24/2/432.abstract},
101 Volume = {24},
102 Year = {1960},
103 Bdsk-Url-1 = {http://ptp.oxfordjournals.org/content/24/2/432.abstract},
104 Bdsk-Url-2 = {http://dx.doi.org/10.1143/PTP.24.432}}
105
106 @article{Nagai01091963,
107 Author = {Nagai, Ojiro and Nakamura, Tuto},
108 Date-Added = {2014-06-04 18:33:25 +0000},
109 Date-Modified = {2014-06-04 18:33:25 +0000},
110 Doi = {10.1143/PTP.30.412a},
111 Journal = {Progress of Theoretical Physics},
112 Number = {3},
113 Pages = {412},
114 Title = {Quadrupole Interaction in Crystals},
115 Url = {http://ptp.oxfordjournals.org/content/30/3/412.1.short},
116 Volume = {30},
117 Year = {1963},
118 Bdsk-Url-1 = {http://ptp.oxfordjournals.org/content/30/3/412.1.short},
119 Bdsk-Url-2 = {http://dx.doi.org/10.1143/PTP.30.412a}}
120
121 @article{LT,
122 Author = {Luttinger, J. M. and Tisza, L.},
123 Date-Added = {2014-06-04 18:33:16 +0000},
124 Date-Modified = {2014-06-04 18:33:16 +0000},
125 Doi = {10.1103/PhysRev.70.954},
126 Issue = {11-12},
127 Journal = {Phys. Rev.},
128 Month = {Dec},
129 Pages = {954--964},
130 Publisher = {American Physical Society},
131 Title = {Theory of Dipole Interaction in Crystals},
132 Url = {http://link.aps.org/doi/10.1103/PhysRev.70.954},
133 Volume = {70},
134 Year = {1946},
135 Bdsk-Url-1 = {http://link.aps.org/doi/10.1103/PhysRev.70.954},
136 Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRev.70.954}}
137
138 @article{LT2,
139 Author = {Luttinger, J. M. and Tisza, Laszo},
140 Date-Added = {2014-06-04 18:33:16 +0000},
141 Date-Modified = {2014-06-04 18:33:16 +0000},
142 Doi = {10.1103/PhysRev.72.257},
143 Issue = {3},
144 Journal = {Phys. Rev.},
145 Month = {Aug},
146 Pages = {257--257},
147 Publisher = {American Physical Society},
148 Title = {Errata: Theory of Dipole Interaction in Crystals [Phys. Rev. 70, 954 (1946)]},
149 Url = {http://link.aps.org/doi/10.1103/PhysRev.72.257},
150 Volume = {72},
151 Year = {1947},
152 Bdsk-Url-1 = {http://link.aps.org/doi/10.1103/PhysRev.72.257},
153 Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRev.72.257}}
154
155 @article{Sauer,
156 Author = {Sauer, J. A.},
157 Date-Added = {2014-06-04 18:33:04 +0000},
158 Date-Modified = {2014-06-04 18:33:04 +0000},
159 Doi = {10.1103/PhysRev.57.142},
160 Issue = {2},
161 Journal = {Phys. Rev.},
162 Pages = {142--146},
163 Publisher = {American Physical Society},
164 Title = {Magnetic Energy Constants of Dipolar Lattices},
165 Url = {http://link.aps.org/doi/10.1103/PhysRev.57.142},
166 Volume = {57},
167 Year = {1940},
168 Bdsk-Url-1 = {http://link.aps.org/doi/10.1103/PhysRev.57.142},
169 Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRev.57.142}}
170
171 @article{Chen:2004du,
172 Abstract = {Structural and thermodynamic properties of ionic fluids are related to those of a simpler "mimic" system with short ranged intermolecular interactions in a spatially varying effective field by use of local molecular field (LMF) theory, already successfully applied to nonuniform simple fluids. By consistently using the LMF approximation to describe only the slowly varying part of the Coulomb interaction, which we view as arising from a rigid Gaussian charge distribution with an appropriately chosen width a, exceptionally accurate results can be found. In this paper we study a uniform system of charged hard spheres in a uniform neutralizing background, where these ideas can be presented in their simplest form. At low densities the LMF theory reduces to a generalized version of the Poisson-Boltzmann approximation, but the predicted structure factor satisfies the exact Stillinger-Lovett moment conditions, and with optimal choice of or the lowest order approximation remains accurate for much stronger couplings. At high density and strong couplings the pair correlation function in the uniform mimic system with short ranged interactions is very similar to that of the full ionic system. A simple analytic formula can then describe the difference in internal energy between the ionic system and the associated mimic system.},
173 Address = {1155 16TH ST, NW, WASHINGTON, DC 20036 USA},
174 Author = {Chen, YG and Kaur, C and Weeks, JD},
175 Date = {DEC 23 2004},
176 Date-Added = {2014-06-04 15:12:54 +0000},
177 Date-Modified = {2014-06-04 15:12:54 +0000},
178 Doi = {DOI 10.1021/jp0469261},
179 Journal = jpcb,
180 Pages = {19874-19884},
181 Publisher = {AMER CHEMICAL SOC},
182 Timescited = {5},
183 Title = {Connecting systems with short and long ranged interactions: Local molecular field theory for ionic fluids},
184 Volume = {108},
185 Year = {2004},
186 Bdsk-Url-1 = {http://dx.doi.org/10.1021/jp0469261}}
187
188 @article{Chen:2006ii,
189 Abstract = {Strong, short-ranged positional correlations involving counterions can induce a net attractive force between negatively charged strands of DNA and lead to the formation of ion pairs in dilute ionic solutions. However, the long range of the Coulomb interactions impedes the development of a simple local picture. We address this general problem by mapping the properties of a nonuniform system with Coulomb interactions onto those of a simpler system with short-ranged intermolecular interactions in an effective external field that accounts for the averaged effects of appropriately chosen long-ranged and slowly varying components of the Coulomb interactions. The remaining short-ranged components combine with the other molecular core interactions and strongly affect pair correlations in dense or strongly coupled systems. We show that pair correlation functions in the effective short-ranged system closely resemble those in the uniform primitive model of ionic solutions and illustrate the formation of ion pairs and clusters at low densities. The theory accurately describes detailed features of the effective attraction between two equally charged walls at strong coupling and intermediate separations of the walls. Analytical results for the minimal coupling strength needed to get any attraction and for the separation at which the attractive force is a maximum are presented.},
190 Address = {2101 CONSTITUTION AVE NW, WASHINGTON, DC 20418 USA},
191 Author = {Chen, YG and Weeks, JD},
192 Date = {MAY 16 2006},
193 Date-Added = {2014-06-04 15:12:54 +0000},
194 Date-Modified = {2014-06-04 15:12:54 +0000},
195 Doi = {DOI 10.1073/pnas.0600282103},
196 Journal = pnas,
197 Keywords = {effective short-ranged model; ion pairing; mean field theory; Poission-Boltzmann},
198 Pages = {7560-7565},
199 Publisher = {NATL ACAD SCIENCES},
200 Timescited = {4},
201 Title = {Local molecular field theory for effective attractions between like charged objects in systems with strong Coulomb interactions},
202 Volume = {103},
203 Year = {2006},
204 Bdsk-Url-1 = {http://dx.doi.org/10.1073/pnas.0600282103}}
205
206 @article{Denesyuk:2008ez,
207 Abstract = {We propose a simplified version of local molecular field (LMF) theory to treat Coulomb interactions in simulations of ionic fluids. LMF theory relies on splitting the Coulomb potential into a short-ranged part that combines with other short-ranged core interactions and is simulated explicitly. The averaged effects of the remaining long-ranged part are taken into account through a self-consistently determined effective external field. The theory contains an adjustable length parameter sigma that specifies the cutoff distance for the short-ranged interaction. This can be chosen to minimize the errors resulting from the mean-field treatment of the complementary long-ranged part. Here we suggest that in many cases an accurate approximation to the effective field can be obtained directly from the equilibrium charge density given by the Debye theory of screening, thus eliminating the need for a self-consistent treatment. In the limit sigma -> 0, this assumption reduces to the classical Debye approximation. We examine the numerical performance of this approximation for a simple model of a symmetric ionic mixture. Our results for thermodynamic and structural properties of uniform ionic mixtures agree well with similar results of Ewald simulations of the full ionic system. In addition, we have used the simplified theory in a grand-canonical simulation of a nonuniform ionic mixture where an ion has been fixed at the origin. Simulations using short-ranged truncations of the Coulomb interactions alone do not satisfy the exact condition of complete screening of the fixed ion, but this condition is recovered when the effective field is taken into account. We argue that this simplified approach can also be used in the simulations of more complex nonuniform systems. (c) 2008 American Institute of Physics.},
208 Address = {CIRCULATION \& FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA},
209 Author = {Denesyuk, Natalia A. and Weeks, John D.},
210 Date = {MAR 28 2008},
211 Date-Added = {2014-06-04 15:12:54 +0000},
212 Date-Modified = {2014-06-04 15:12:54 +0000},
213 Eid = {124109},
214 Journal = jcp,
215 Pages = {-},
216 Publisher = {AMER INST PHYSICS},
217 Timescited = {0},
218 Title = {A new approach for efficient simulation of {C}oulomb interactions in ionic fluids},
219 Volume = {128},
220 Year = {2008},
221 Bdsk-Url-1 = {http://dx.doi.org/124109}}
222
223 @article{Rodgers:2006nw,
224 Abstract = {Effective attraction between like-charged walls mediated by counterions is studied using local molecular field (LMF) theory. Monte Carlo simulations of the "mimic system" given by LMF theory, with short-ranged "Coulomb core" interactions in an effective single particle potential incorporating a mean-field average of the long-ranged Coulomb interactions, provide a direct test of the theory, and are in excellent agreement with more complex simulations of the full Coulomb system by Moreira and Netz [Eur. Phys. J. E 8, 33 (2002)]. A simple, generally applicable criterion to determine the consistency parameter sigma(min) needed for accurate use of the LMF theory is presented.},
225 Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA},
226 Author = {Rodgers, Jocelyn M. and Kaur, Charanbir and Chen, Yng-Gwei and Weeks, John D.},
227 Date = {SEP 1 2006},
228 Date-Added = {2014-06-04 15:12:54 +0000},
229 Date-Modified = {2014-06-04 15:12:54 +0000},
230 Eid = {097801},
231 Journal = prl,
232 Pages = {-},
233 Publisher = {AMERICAN PHYSICAL SOC},
234 Timescited = {1},
235 Title = {Attraction between like-charged walls: Short-ranged simulations using local molecular field theory},
236 Volume = {97},
237 Year = {2006},
238 Bdsk-Url-1 = {http://dx.doi.org/097801}}
239
240 @article{Wu:044107,
241 Author = {Xiongwu Wu and Bernard R. Brooks},
242 Date-Added = {2014-06-04 15:12:16 +0000},
243 Date-Modified = {2014-06-04 15:12:16 +0000},
244 Doi = {10.1063/1.1836733},
245 Eid = {044107},
246 Journal = jcp,
247 Keywords = {Molecular Dynamics Method; Potential Energy Functions},
248 Number = {4},
249 Numpages = {18},
250 Pages = {044107},
251 Publisher = {Aip},
252 Title = {Isotropic Periodic Sum: A Method for the Calculation of Long-Range Interactions},
253 Url = {Http://Link.Aip.Org/Link/?jcp/122/044107/1},
254 Volume = {122},
255 Year = {2005},
256 Bdsk-Url-1 = {Http://Link.Aip.Org/Link/?jcp/122/044107/1},
257 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.1836733}}
258
259 @article{Smith82,
260 Author = {W. Smith},
261 Date-Added = {2014-06-04 15:05:56 +0000},
262 Date-Modified = {2014-06-04 15:05:56 +0000},
263 Journal = {CCP5 Information quarterly},
264 Pages = {13-25},
265 Title = {Point multipoles in the \uppercase{E}wald summation},
266 Volume = 4,
267 Year = 1982}
268
269 @article{Smith98,
270 Author = {W. Smith},
271 Date-Added = {2014-06-04 15:05:56 +0000},
272 Date-Modified = {2014-06-04 15:05:56 +0000},
273 Journal = {CCP5 Information Quarterly},
274 Pages = {18-30},
275 Title = {Point multipoles in the \uppercase{E}wald summation (Revisited)},
276 Volume = {46},
277 Year = {1998}}
278
279 @article{Ren:2004kx,
280 Author = {Ren, Pengyu and Ponder, Jay W.},
281 Date-Added = {2014-06-04 13:47:47 +0000},
282 Date-Modified = {2014-06-04 13:47:47 +0000},
283 Doi = {10.1021/jp0484332},
284 Journal = jpcb,
285 Number = {35},
286 Pages = {13427-13437},
287 Title = {Temperature and Pressure Dependence of the AMOEBA Water Model},
288 Url = {http://pubs.acs.org/doi/abs/10.1021/jp0484332},
289 Volume = {108},
290 Year = {2004},
291 Bdsk-Url-1 = {http://pubs.acs.org/doi/abs/10.1021/jp0484332},
292 Bdsk-Url-2 = {http://dx.doi.org/10.1021/jp0484332}}
293
294 @article{Ren:2003uq,
295 Author = {Ren, Pengyu and Ponder, Jay W.},
296 Date-Added = {2014-06-04 13:47:15 +0000},
297 Date-Modified = {2014-06-04 13:58:58 +0000},
298 Doi = {10.1021/jp027815+},
299 Journal = jpcb,
300 Number = {24},
301 Pages = {5933-5947},
302 Title = {Polarizable Atomic Multipole Water Model for Molecular Mechanics Simulation},
303 Url = {http://pubs.acs.org/doi/abs/10.1021/jp027815\%2B},
304 Volume = {107},
305 Year = {2003},
306 Bdsk-Url-1 = {http://pubs.acs.org/doi/abs/10.1021/jp027815%2B},
307 Bdsk-Url-2 = {http://dx.doi.org/10.1021/jp027815+}}
308
309 @article{Wang:2013fk,
310 Author = {Wang, Lee-Ping and Head-Gordon, Teresa and Ponder, Jay W. and Ren, Pengyu and Chodera, John D. and Eastman, Peter K. and Martinez, Todd J. and Pande, Vijay S.},
311 Date-Added = {2014-06-04 13:44:11 +0000},
312 Date-Modified = {2014-06-04 13:44:11 +0000},
313 Doi = {10.1021/jp403802c},
314 Journal = jpcb,
315 Number = {34},
316 Pages = {9956-9972},
317 Title = {Systematic Improvement of a Classical Molecular Model of Water},
318 Url = {http://pubs.acs.org/doi/abs/10.1021/jp403802c},
319 Volume = {117},
320 Year = {2013},
321 Bdsk-Url-1 = {http://pubs.acs.org/doi/abs/10.1021/jp403802c},
322 Bdsk-Url-2 = {http://dx.doi.org/10.1021/jp403802c}}
323
324 @incollection{Wolf95,
325 Author = {Wolf, D.},
326 Booktitle = {Computer Simulation Studies in Condensed-Matter Physics VIII},
327 Date-Added = {2014-05-20 18:53:22 +0000},
328 Date-Modified = {2014-05-20 18:53:22 +0000},
329 Doi = {10.1007/978-3-642-79991-4_6},
330 Editor = {Landau, DavidP. and Mon, K.K. and Sch{\"u}ttler, Heinz-Bernd},
331 Isbn = {978-3-642-79993-8},
332 Language = {English},
333 Pages = {57-68},
334 Publisher = {Springer Berlin Heidelberg},
335 Series = {Springer Proceedings in Physics},
336 Title = {Simulation of Ionic Surfaces from an Absolutely Convergent Solution of the Madelung Problem},
337 Url = {http://dx.doi.org/10.1007/978-3-642-79991-4_6},
338 Volume = {80},
339 Year = {1995},
340 Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-3-642-79991-4_6}}
341
342 @article{Parry:1976fq,
343 Author = {D.E. Parry},
344 Date-Added = {2014-05-20 18:44:42 +0000},
345 Date-Modified = {2014-05-20 18:44:42 +0000},
346 Doi = {http://dx.doi.org/10.1016/0039-6028(76)90102-3},
347 Issn = {0039-6028},
348 Journal = {Surface Science},
349 Key = {tagkey1976195},
350 Number = {1},
351 Pages = {195},
352 Title = {Errata},
353 Url = {http://www.sciencedirect.com/science/article/pii/0039602876901023},
354 Volume = {54},
355 Year = {1976},
356 Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0039602876901023},
357 Bdsk-Url-2 = {http://dx.doi.org/10.1016/0039-6028(76)90102-3}}
358
359 @article{Parry:1975if,
360 Author = {D.E. Parry},
361 Date-Added = {2014-05-20 18:42:44 +0000},
362 Date-Modified = {2014-05-20 18:42:44 +0000},
363 Doi = {http://dx.doi.org/10.1016/0039-6028(75)90362-3},
364 Issn = {0039-6028},
365 Journal = {Surface Science},
366 Number = {2},
367 Pages = {433 - 440},
368 Title = {The electrostatic potential in the surface region of an ionic crystal},
369 Url = {http://www.sciencedirect.com/science/article/pii/0039602875903623},
370 Volume = {49},
371 Year = {1975},
372 Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0039602875903623},
373 Bdsk-Url-2 = {http://dx.doi.org/10.1016/0039-6028(75)90362-3}}
374
375 @article{Essmann:1995pb,
376 Author = {Essmann, Ulrich and Perera, Lalith and Berkowitz, Max L. and Darden, Tom and Lee, Hsing and Pedersen, Lee G.},
377 Date-Added = {2014-05-20 17:33:26 +0000},
378 Date-Modified = {2014-05-20 17:33:26 +0000},
379 Doi = {http://dx.doi.org/10.1063/1.470117},
380 Journal = jcp,
381 Number = {19},
382 Pages = {8577-8593},
383 Title = {A smooth particle mesh Ewald method},
384 Url = {http://scitation.aip.org/content/aip/journal/jcp/103/19/10.1063/1.470117},
385 Volume = {103},
386 Year = {1995},
387 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/103/19/10.1063/1.470117},
388 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.470117}}
389
390 @article{Ponder:2010vl,
391 Author = {Ponder, Jay W. and Wu, Chuanjie and Ren, Pengyu and Pande, Vijay S. and Chodera, John D. and Schnieders, Michael J. and Haque, Imran and Mobley, David L. and Lambrecht, Daniel S. and DiStasio, Robert A. and Head-Gordon, Martin and Clark, Gary N. I. and Johnson, Margaret E. and Head-Gordon, Teresa},
392 Date-Added = {2014-05-20 17:32:49 +0000},
393 Date-Modified = {2014-05-20 17:32:49 +0000},
394 Doi = {10.1021/jp910674d},
395 Journal = jpcb,
396 Note = {PMID: 20136072},
397 Number = {8},
398 Pages = {2549-2564},
399 Title = {Current Status of the AMOEBA Polarizable Force Field},
400 Url = {http://pubs.acs.org/doi/abs/10.1021/jp910674d},
401 Volume = {114},
402 Year = {2010},
403 Bdsk-Url-1 = {http://pubs.acs.org/doi/abs/10.1021/jp910674d},
404 Bdsk-Url-2 = {http://dx.doi.org/10.1021/jp910674d}}
405
406 @article{Spohr:1997sf,
407 Author = {Spohr, E.},
408 Date-Added = {2014-05-20 17:32:27 +0000},
409 Date-Modified = {2014-05-20 17:32:27 +0000},
410 Doi = {http://dx.doi.org/10.1063/1.474295},
411 Journal = jcp,
412 Number = {16},
413 Pages = {6342-6348},
414 Title = {Effect of electrostatic boundary conditions and system size on the interfacial properties of water and aqueous solutions},
415 Url = {http://scitation.aip.org/content/aip/journal/jcp/107/16/10.1063/1.474295},
416 Volume = {107},
417 Year = {1997},
418 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/107/16/10.1063/1.474295},
419 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.474295}}
420
421 @article{Shi:2013ij,
422 Author = {Shi, Wei and Luebke, David R.},
423 Date-Added = {2014-05-20 17:31:47 +0000},
424 Date-Modified = {2014-05-20 17:31:47 +0000},
425 Doi = {10.1021/la400226g},
426 Journal = {Langmuir},
427 Number = {18},
428 Pages = {5563-5572},
429 Title = {Enhanced Gas Absorption in the Ionic Liquid 1-n-Hexyl-3-methylimidazolium Bis(trifluoromethylsulfonyl)amide ([hmim][Tf2N]) Confined in Silica Slit Pores: A Molecular Simulation Study},
430 Url = {http://pubs.acs.org/doi/abs/10.1021/la400226g},
431 Volume = {29},
432 Year = {2013},
433 Bdsk-Url-1 = {http://pubs.acs.org/doi/abs/10.1021/la400226g},
434 Bdsk-Url-2 = {http://dx.doi.org/10.1021/la400226g}}
435
436 @article{Zahn:2002hc,
437 Author = {Zahn, Dirk and Schilling, Bernd and Kast, Stefan M.},
438 Date-Added = {2014-05-20 17:31:28 +0000},
439 Date-Modified = {2014-05-20 17:31:28 +0000},
440 Doi = {10.1021/jp025949h},
441 Journal = jpcb,
442 Number = {41},
443 Pages = {10725-10732},
444 Title = {Enhancement of the Wolf Damped Coulomb Potential:  Static, Dynamic, and Dielectric Properties of Liquid Water from Molecular Simulation},
445 Url = {http://pubs.acs.org/doi/abs/10.1021/jp025949h},
446 Volume = {106},
447 Year = {2002},
448 Bdsk-Url-1 = {http://pubs.acs.org/doi/abs/10.1021/jp025949h},
449 Bdsk-Url-2 = {http://dx.doi.org/10.1021/jp025949h}}
450
451 @article{Rhee:1989kl,
452 Author = {Rhee, Y.-J. and Halley, J. W. and Hautman, Joseph and Rahman, A.},
453 Date-Added = {2014-05-20 17:29:57 +0000},
454 Date-Modified = {2014-05-20 17:29:59 +0000},
455 Doi = {10.1103/PhysRevB.40.36},
456 Issue = {1},
457 Journal = {Phys. Rev. B},
458 Month = {Jul},
459 Numpages = {0},
460 Pages = {36--42},
461 Publisher = {American Physical Society},
462 Title = {Ewald methods in molecular dynamics for systems of finite extent in one of three dimensions},
463 Url = {http://link.aps.org/doi/10.1103/PhysRevB.40.36},
464 Volume = {40},
465 Year = {1989},
466 Bdsk-Url-1 = {http://link.aps.org/doi/10.1103/PhysRevB.40.36},
467 Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.40.36}}
468
469 @article{Yeh:1999oq,
470 Author = {Yeh, In-Chul and Berkowitz, Max L.},
471 Date-Added = {2014-05-20 17:29:25 +0000},
472 Date-Modified = {2014-05-20 17:29:25 +0000},
473 Doi = {http://dx.doi.org/10.1063/1.479595},
474 Journal = jcp,
475 Number = {7},
476 Pages = {3155-3162},
477 Title = {Ewald summation for systems with slab geometry},
478 Url = {http://scitation.aip.org/content/aip/journal/jcp/111/7/10.1063/1.479595},
479 Volume = {111},
480 Year = {1999},
481 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/111/7/10.1063/1.479595},
482 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.479595}}
483
484 @article{Wolf:1999dn,
485 Author = {Wolf, D. and Keblinski, P. and Phillpot, S. R. and Eggebrecht, J.},
486 Date-Added = {2014-05-20 17:28:54 +0000},
487 Date-Modified = {2014-05-20 17:28:54 +0000},
488 Doi = {http://dx.doi.org/10.1063/1.478738},
489 Journal = jcp,
490 Number = {17},
491 Pages = {8254-8282},
492 Title = {Exact method for the simulation of Coulombic systems by spherically truncated, pairwise r−1 summation},
493 Url = {http://scitation.aip.org/content/aip/journal/jcp/110/17/10.1063/1.478738},
494 Volume = {110},
495 Year = {1999},
496 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/110/17/10.1063/1.478738},
497 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.478738}}
498
499 @article{Kannam:2012rr,
500 Author = {Kannam, Sridhar Kumar and Todd, B. D. and Hansen, J. S. and Daivis, Peter J.},
501 Date-Added = {2014-05-20 17:28:19 +0000},
502 Date-Modified = {2014-05-20 17:28:19 +0000},
503 Doi = {http://dx.doi.org/10.1063/1.4730167},
504 Eid = 244704,
505 Journal = jcp,
506 Number = {24},
507 Pages = {-},
508 Title = {Interfacial slip friction at a fluid-solid cylindrical boundary},
509 Url = {http://scitation.aip.org/content/aip/journal/jcp/136/24/10.1063/1.4730167},
510 Volume = {136},
511 Year = {2012},
512 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/136/24/10.1063/1.4730167},
513 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.4730167}}
514
515 @article{Fennell:2006lq,
516 Author = {Fennell, Christopher J. and Gezelter, J. Daniel},
517 Date-Added = {2014-05-20 17:27:55 +0000},
518 Date-Modified = {2014-05-20 17:27:55 +0000},
519 Doi = {http://dx.doi.org/10.1063/1.2206581},
520 Eid = 234104,
521 Journal = jcp,
522 Number = {23},
523 Pages = {-},
524 Title = {Is the Ewald summation still necessary? Pairwise alternatives to the accepted standard for long-range electrostatics},
525 Url = {http://scitation.aip.org/content/aip/journal/jcp/124/23/10.1063/1.2206581},
526 Volume = {124},
527 Year = {2006},
528 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/124/23/10.1063/1.2206581},
529 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.2206581}}
530
531 @article{Darden:1993pd,
532 Author = {Darden, Tom and York, Darrin and Pedersen, Lee},
533 Date-Added = {2014-05-20 17:27:18 +0000},
534 Date-Modified = {2014-05-20 17:27:18 +0000},
535 Doi = {http://dx.doi.org/10.1063/1.464397},
536 Journal = jcp,
537 Number = {12},
538 Pages = {10089-10092},
539 Title = {Particle mesh Ewald: An N⋅log(N) method for Ewald sums in large systems},
540 Url = {http://scitation.aip.org/content/aip/journal/jcp/98/12/10.1063/1.464397},
541 Volume = {98},
542 Year = {1993},
543 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/98/12/10.1063/1.464397},
544 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.464397}}
545
546 @article{Clarke:1986eu,
547 Author = {Clarke, J. H. R. and Smith, W. and Woodcock, L. V.},
548 Date-Added = {2014-05-20 17:26:40 +0000},
549 Date-Modified = {2014-05-20 17:26:40 +0000},
550 Doi = {http://dx.doi.org/10.1063/1.450391},
551 Journal = jcp,
552 Number = {4},
553 Pages = {2290-2294},
554 Title = {Short range effective potentials for ionic fluids},
555 Url = {http://scitation.aip.org/content/aip/journal/jcp/84/4/10.1063/1.450391},
556 Volume = {84},
557 Year = {1986},
558 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/84/4/10.1063/1.450391},
559 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.450391}}
560
561 @article{Fukuda:2013sf,
562 Author = {Fukuda, Ikuo},
563 Date-Added = {2014-05-20 17:25:01 +0000},
564 Date-Modified = {2014-05-20 17:25:01 +0000},
565 Doi = {http://dx.doi.org/10.1063/1.4827055},
566 Eid = 174107,
567 Journal = jcp,
568 Number = {17},
569 Pages = {-},
570 Title = {Zero-multipole summation method for efficiently estimating electrostatic interactions in molecular system},
571 Url = {http://scitation.aip.org/content/aip/journal/jcp/139/17/10.1063/1.4827055},
572 Volume = {139},
573 Year = {2013},
574 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/139/17/10.1063/1.4827055},
575 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.4827055}}
576
577 @incollection{Woodcock75,
578 Author = {Woodcock, L.V.},
579 Booktitle = {Advances in Molten Salt Chemistry},
580 Doi = {10.1007/978-1-4615-8270-0_1},
581 Editor = {Braunstein, J. and Mamantov, Gleb and Smith, G.P.},
582 Isbn = {978-1-4615-8272-4},
583 Language = {English},
584 Pages = {1-74},
585 Publisher = {Springer US},
586 Title = {Molecular Dynamics Calculations on Molten Ionic Salts},
587 Url = {http://dx.doi.org/10.1007/978-1-4615-8270-0_1},
588 Year = {1975},
589 Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-1-4615-8270-0_1}}
590
591 @article{Takada94,
592 Author = {Shimada, Jiro and Kaneko, Hiroki and Takada, Toshikazu},
593 Doi = {10.1002/jcc.540150105},
594 Issn = {1096-987X},
595 Journal = {Journal of Computational Chemistry},
596 Number = {1},
597 Pages = {28--43},
598 Publisher = {John Wiley & Sons, Inc.},
599 Title = {Performance of fast multipole methods for calculating electrostatic interactions in biomacromolecular simulations},
600 Url = {http://dx.doi.org/10.1002/jcc.540150105},
601 Volume = {15},
602 Year = {1994},
603 Bdsk-Url-1 = {http://dx.doi.org/10.1002/jcc.540150105}}
604
605 @article{Takada93,
606 Author = {Shimada, Jiro and Kaneko, Hiroki and Takada, Toshikazu},
607 Doi = {10.1002/jcc.540140712},
608 Issn = {1096-987X},
609 Journal = {J. Comp. Chem.},
610 Number = {7},
611 Pages = {867--878},
612 Publisher = {John Wiley & Sons, Inc.},
613 Title = {Efficient calculations of coulombic interactions in biomolecular simulations with periodic boundary conditions},
614 Url = {http://dx.doi.org/10.1002/jcc.540140712},
615 Volume = {14},
616 Year = {1993},
617 Bdsk-Url-1 = {http://dx.doi.org/10.1002/jcc.540140712}}
618
619 @article{Gunsteren94,
620 Author = {Luty, Brock A. and Davis, Malcolm E. and Tironi, Ilario G. and Van Gunsteren, Wilfred F.},
621 Doi = {10.1080/08927029408022004},
622 Journal = {Mol. Simul.},
623 Number = {1},
624 Pages = {11-20},
625 Title = {A Comparison of Particle-Particle, Particle-Mesh and Ewald Methods for Calculating Electrostatic Interactions in Periodic Molecular Systems},
626 Url = {http://dx.doi.org/10.1080/08927029408022004},
627 Volume = {14},
628 Year = {1994},
629 Bdsk-Url-1 = {http://dx.doi.org/10.1080/08927029408022004}}
630
631 @article{Gunsteren95,
632 Author = {Luty, Brock A. and Tironi, Ilario G. and van Gunsteren, Wilfred F.},
633 Doi = {http://dx.doi.org/10.1063/1.470490},
634 Journal = jcp,
635 Number = {8},
636 Pages = {3014-3021},
637 Title = {Lattice‐sum methods for calculating electrostatic interactions in molecular simulations},
638 Url = {http://scitation.aip.org/content/aip/journal/jcp/103/8/10.1063/1.470490},
639 Volume = {103},
640 Year = {1995},
641 Bdsk-Url-1 = {http://scitation.aip.org/content/aip/journal/jcp/103/8/10.1063/1.470490},
642 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.470490}}
643
644 @article{Clarke77,
645 Abstract = {Computer simulation of the (100) face of crystalline potassium chloride has been achieved using the method of molecular dynamics and a lamina model of thickness 10 ionic layers. The basic cell contained 360 ions{,} interacting via a Tosi-Fumi potential. A solution has been obtained for the long range correction to the Coulomb potential for an ionic lamina. This differs significantly from the solution for a 3-dimensional lattice.Surface distortion{,} surface energy and stress have been evaluated and agree well with experiment and previous model calculations. The ratios of surface mean square amplitudes of vibration perpendicular to the surface divided by the bulk values show an approximately 25\% anharmonic enhancement over previous calculations. The layerwise velocity autocorrelation functions yield power spectra featuring a peak for the surface mono-layer at 75 cm which compares favourably with the frequency of surface acoustic modes predicted by previous calculations.},
646 Author = {Heyes, D. M. and Barber, M. and Clarke, J. H. R.},
647 Doi = {10.1039/F29777301485},
648 Issue = {7},
649 Journal = {J. Chem. Soc.{,} Faraday Trans. 2},
650 Pages = {1485-1496},
651 Publisher = {The Royal Society of Chemistry},
652 Title = {Molecular dynamics computer simulation of surface properties of crystalline potassium chloride},
653 Url = {http://dx.doi.org/10.1039/F29777301485},
654 Volume = {73},
655 Year = {1977},
656 Bdsk-Url-1 = {http://dx.doi.org/10.1039/F29777301485}}
657
658 @article{Perram79,
659 Author = {De Leeuw, Simon W and Perram, John W},
660 Journal = mp,
661 Number = {4},
662 Pages = {1313--1322},
663 Publisher = {Taylor \& Francis},
664 Title = {Electrostatic lattice sums for semi-infinite lattices},
665 Volume = {37},
666 Year = {1979}}
667
668 @article{Smith80,
669 Abstract = {The effective interactions of ions, dipoles and higher-order multipoles under periodic boundary conditions are calculated where the array of periodic replications forms an infinite sphere surrounded by a vacuum. Discrepancies between the results of different methods of calculation are resolved and some shape-dependent effects are discussed briefly. In a simulation under these periodic boundary conditions, the net Hamiltonian contains a positive term proportional to the square of the net dipole moment of the configuration. Surrounding the infinite sphere by a continuum of dielectric constant $\epsilon'$ changes this positive term, the coefficient being zero as $\epsilon'\rightarrow\infty$. We report on the simulation of a dense fluid of hard spheres with embedded point dipoles; simulations are made for different values of $\epsilon'$, showing how the Kirkwood g-factor and the long-range part of h$_\Delta$(r) depend on $\epsilon'$ in a finite simulation. We show how this dependence on $\epsilon'$ nonetheless leads to a dielectric constant for the system that is independent of $\epsilon'$. In particular, the Clausius-Mosotti and Kirkwood formulae for the dielectric constant $\epsilon$ of the system give consistent values.},
670 Author = {{de Leeuw}, S. W. and Perram, J. W. and Smith, E. R.},
671 Doi = {10.1098/rspa.1980.0135},
672 Journal = {Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
673 Number = {1752},
674 Pages = {27-56},
675 Title = {Simulation of Electrostatic Systems in Periodic Boundary Conditions. I. Lattice Sums and Dielectric Constants},
676 Url = {http://rspa.royalsocietypublishing.org/content/373/1752/27.abstract},
677 Volume = {373},
678 Year = {1980},
679 Bdsk-Url-1 = {http://rspa.royalsocietypublishing.org/content/373/1752/27.abstract},
680 Bdsk-Url-2 = {http://dx.doi.org/10.1098/rspa.1980.0135}}
681
682 @article{Wolf92,
683 Author = {Wolf, Dieter},
684 Journal = prl,
685 Number = {22},
686 Pages = {3315--3318},
687 Title = {Reconstruction of NaCl surfaces from a dipolar solution to the Madelung problem},
688 Volume = {68},
689 Year = {1992}}
690
691 @article{Acevedo13,
692 Author = {McCann, Billy W and Acevedo, Orlando},
693 Journal = jctc,
694 Number = {2},
695 Pages = {944--950},
696 Publisher = {American Chemical Society},
697 Title = {Pairwise Alternatives to Ewald Summation for Calculating Long-Range Electrostatics in Ionic Liquids},
698 Volume = {9},
699 Year = {2013}}
700
701 @article{Space12,
702 Author = {Forrest, Katherine A and Pham, Tony and McLaughlin, Keith and Belof, Jonathan L and Stern, Abraham C and Zaworotko, Michael J and Space, Brian},
703 Journal = jpcc,
704 Number = {29},
705 Pages = {15538--15549},
706 Publisher = {ACS Publications},
707 Title = {Simulation of the Mechanism of Gas Sorption in a Metal--Organic Framework with Open Metal Sites: Molecular Hydrogen in PCN-61},
708 Volume = {116},
709 Year = {2012}}
710
711 @article{English08,
712 Author = {English, Niall J},
713 Journal = mp,
714 Number = {15},
715 Pages = {1887--1898},
716 Publisher = {Taylor \& Francis},
717 Title = {Effect of electrostatics techniques on the estimation of thermal conductivity via equilibrium molecular dynamics simulation: application to methane hydrate},
718 Volume = {106},
719 Year = {2008}}
720
721 @article{Lawrence13,
722 Author = {Louden, P and Schoenborn, R and Lawrence, CP},
723 Journal = {Fluid Phase Equilibria},
724 Pages = {83--86},
725 Publisher = {Elsevier},
726 Title = {Molecular dynamics simulations of the condensation coefficient of water},
727 Volume = {349},
728 Year = {2013}}
729
730 @article{Vergne13,
731 Author = {Takashi Tokumasu and Marie-Helene Meurisse and Nicolas Fillot and Philippe Vergne},
732 Doi = {http://dx.doi.org/10.1016/j.triboint.2012.08.009},
733 Issn = {0301-679X},
734 Journal = {Tribology International},
735 Keywords = {Momentum transport},
736 Number = {0},
737 Pages = {10 - 16},
738 Title = {A molecular dynamics study of a nanoscale liquid bridge under shear},
739 Url = {http://www.sciencedirect.com/science/article/pii/S0301679X12002812},
740 Volume = {59},
741 Year = {2013},
742 Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0301679X12002812},
743 Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.triboint.2012.08.009}}
744
745 @article{Ren06,
746 Author = {Golubkov, Pavel A and Ren, Pengyu},
747 Journal = jcp,
748 Number = {6},
749 Pages = {064103},
750 Publisher = {AIP Publishing},
751 Title = {Generalized coarse-grained model based on point multipole and Gay-Berne potentials},
752 Volume = {125},
753 Year = {2006}}
754
755 @article{Essex10,
756 Author = {Orsi, Mario and Michel, Julien and Essex, Jonathan W},
757 Journal = {Journal of Physics: Condensed Matter},
758 Number = {15},
759 Pages = {155106},
760 Publisher = {IOP Publishing},
761 Title = {Coarse-grain modelling of DMPC and DOPC lipid bilayers},
762 Volume = {22},
763 Year = {2010}}
764
765 @article{Essex11,
766 Author = {Orsi, Mario and Essex, Jonathan W},
767 Journal = {PloS one},
768 Number = {12},
769 Pages = {e28637},
770 Publisher = {Public Library of Science},
771 Title = {The ELBA force field for coarse-grain modeling of lipid membranes},
772 Volume = {6},
773 Year = {2011}}
774
775 @article{Ichiye10_1,
776 Author = {Te, Jerez A and Tan, Ming-Liang and Ichiye, Toshiko},
777 Journal = cpl,
778 Number = {4},
779 Pages = {218--223},
780 Publisher = {Elsevier},
781 Title = {Solvation of glucose, trehalose, and sucrose by the soft-sticky dipole--quadrupole--octupole water model},
782 Volume = {491},
783 Year = {2010}}
784
785 @article{Ichiye10_2,
786 Author = {Te, Jerez A and Ichiye, Toshiko},
787 Journal = jcp,
788 Number = {11},
789 Pages = {114511},
790 Publisher = {AIP Publishing},
791 Title = {Temperature and pressure dependence of the optimized soft-sticky dipole-quadrupole-octupole water model},
792 Volume = {132},
793 Year = {2010}}
794
795 @article{Ichiye10_3,
796 Author = {Te, Jerez A and Ichiye, Toshiko},
797 Journal = cpl,
798 Number = {4},
799 Pages = {219--225},
800 Publisher = {Elsevier},
801 Title = {Understanding structural effects of multipole moments on aqueous solvation of ions using the soft-sticky dipole--quadrupole--octupole water model},
802 Volume = {499},
803 Year = {2010}}
804
805 @article{Gordon07,
806 Author = {Schnieders, Michael J and Baker, Nathan A and Ren, Pengyu and Ponder, Jay W},
807 Journal = jcp,
808 Number = {12},
809 Pages = {124114},
810 Publisher = {AIP Publishing},
811 Title = {Polarizable atomic multipole solutes in a Poisson-Boltzmann continuum},
812 Volume = {126},
813 Year = {2007}}
814
815 @article{Lacman65,
816 Author = {Lacman, R.},
817 Journal = {Colloq. Int. CNRS},
818 Pages = {195},
819 Title = {Adsorption et croissance cristalline: Nancy, 6-12 Juin 1965},
820 Volume = 152,
821 Year = {1965}}
822
823 @article{PaperI,
824 Author = {Lamichhane, Madan and Gezelter, J. Daniel and Newman, Kathie E.},
825 Date-Modified = {2014-06-04 15:14:05 +0000},
826 Journal = jcp,
827 Number = {-},
828 Pages = {-},
829 Title = {Real space alternatives to the Ewald Sum. I. Taylor-shifted and Gradient-shifted electrostatics for multipoles},
830 Volume = {-},
831 Year = {2014}}
832
833 @article{fisher53,
834 Abstract = {Any topological framework requires the development of a theory of errors of characteristic and appropriate mathematical form. The paper develops a form of theory which appears to be appropriate to measurements of position on a sphere. The primary problems of estimation as applied to the true direction, and the precision of observations, are discussed in the subcases which arise. The simultaneous distribution of the amplitude and direction of the vector sum of a number of random unit vectors of given precision, is demonstrated. From this is derived the test of significance appropriate to a worker whose knowledge of precision lies entirely in the internal evidence of the sample. This is the analogue of 'Student's' test in the Gaussian theory of errors. The general formulae obtained are illustrated using measurements of the direction of remanent magnetization in the directly and inversely magnetized lava flows obtained in Iceland by Mr J. Hospers.},
835 Author = {Fisher, Ronald},
836 Doi = {10.1098/rspa.1953.0064},
837 Journal = {Proc. R. Soc. Lond. A},
838 Number = {1130},
839 Pages = {295-305},
840 Title = {Dispersion on a Sphere},
841 Url = {http://rspa.royalsocietypublishing.org/content/217/1130/295.abstract},
842 Volume = {217},
843 Year = {1953},
844 Bdsk-Url-1 = {http://rspa.royalsocietypublishing.org/content/217/1130/295.abstract},
845 Bdsk-Url-2 = {http://dx.doi.org/10.1098/rspa.1953.0064}}
846
847 @article{Allen91,
848 Author = {Allen, F. H. and Doyle, M. J. and Taylor, R.},
849 Doi = {10.1107/S0108768190010357},
850 Journal = {Acta Crystallographica Section B},
851 Month = {Feb},
852 Number = {1},
853 Pages = {29--40},
854 Title = {{Automated conformational analysis from crystallographic data. 1. A symmetry-modified single-linkage clustering algorithm for three-dimensional pattern recognition}},
855 Url = {http://dx.doi.org/10.1107/S0108768190010357},
856 Volume = {47},
857 Year = {1991},
858 Bdsk-Url-1 = {http://dx.doi.org/10.1107/S0108768190010357}}
859
860 @article{Ewald21,
861 Author = {P.~P. Ewald},
862 Date-Added = {2006-03-13 13:32:04 -0500},
863 Date-Modified = {2006-03-16 22:39:27 -0500},
864 Journal = {Ann. Physik},
865 Pages = {253-287},
866 Title = {Die Berechnung optischer und elektrostatischer Gitterpotential},
867 Volume = {64},
868 Year = {1921}}
869
870 @article{deLeeuw80,
871 Author = {S.~W. {de Leeuw} and J.~W. Perram and E.~R. Smith},
872 Date-Added = {2006-03-07 10:26:31 -0500},
873 Date-Modified = {2006-03-07 10:30:11 -0500},
874 Journal = {Proc. R. Soc. London Ser. A},
875 Number = {1752},
876 Pages = {27-56},
877 Title = {Simulation of Electostatic Systems in Periodic Boundary Conditions. I. Lattice Sums and Dielectric Constants},
878 Volume = {373},
879 Year = {1980}}
880
881 @article{Smith81,
882 Author = {E.~R. Smith},
883 Date-Added = {2006-03-16 13:47:17 -0500},
884 Date-Modified = {2006-03-16 13:48:34 -0500},
885 Journal = {Proc. R. Soc. London Ser. A},
886 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Smith_ElectrostaticEnergyInIonicCrystals_81.pdf},
887 Pages = {475-505},
888 Title = {Electrostatic Energy in Ionic Crystals},
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