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root/group/trunk/OOPSE/libmdtools/calc_sticky_pair.F90
Revision: 636
Committed: Thu Jul 17 20:38:11 2003 UTC (20 years, 11 months ago) by gezelter
File size: 13884 byte(s)
Log Message:
Fixes for SSD/E

File Contents

# Content
1 !! This Module Calculates forces due to SSD potential and VDW interactions
2 !! [Chandra and Ichiye, J. Chem. Phys. 111, 2701 (1999)].
3
4 !! This module contains the Public procedures:
5
6
7 !! Corresponds to the force field defined in ssd_FF.cpp
8 !! @author Charles F. Vardeman II
9 !! @author Matthew Meineke
10 !! @author Christopher Fennel
11 !! @author J. Daniel Gezelter
12 !! @version $Id: calc_sticky_pair.F90,v 1.12 2003-07-17 20:38:11 gezelter Exp $, $Date: 2003-07-17 20:38:11 $, $Name: not supported by cvs2svn $, $Revision: 1.12 $
13
14 module sticky_pair
15
16 use force_globals
17 use definitions
18 use simulation
19 #ifdef IS_MPI
20 use mpiSimulation
21 #endif
22
23 implicit none
24
25 PRIVATE
26
27 logical, save :: sticky_initialized = .false.
28 real( kind = dp ), save :: SSD_w0 = 0.0_dp
29 real( kind = dp ), save :: SSD_v0 = 0.0_dp
30 real( kind = dp ), save :: SSD_v0p = 0.0_dp
31 real( kind = dp ), save :: SSD_rl = 0.0_dp
32 real( kind = dp ), save :: SSD_ru = 0.0_dp
33 real( kind = dp ), save :: SSD_rlp = 0.0_dp
34 real( kind = dp ), save :: SSD_rup = 0.0_dp
35 real( kind = dp ), save :: SSD_rbig = 0.0_dp
36
37 public :: check_sticky_FF
38 public :: set_sticky_params
39 public :: do_sticky_pair
40
41 contains
42
43 subroutine check_sticky_FF(status)
44 integer :: status
45 status = -1
46 if (sticky_initialized) status = 0
47 return
48 end subroutine check_sticky_FF
49
50 subroutine set_sticky_params(sticky_w0, sticky_v0, sticky_v0p, &
51 sticky_rl, sticky_ru, sticky_rlp, sticky_rup)
52
53 real( kind = dp ), intent(in) :: sticky_w0, sticky_v0, sticky_v0p
54 real( kind = dp ), intent(in) :: sticky_rl, sticky_ru
55 real( kind = dp ), intent(in) :: sticky_rlp, sticky_rup
56
57 ! we could pass all 5 parameters if we felt like it...
58
59 SSD_w0 = sticky_w0
60 SSD_v0 = sticky_v0
61 SSD_v0p = sticky_v0p
62 SSD_rl = sticky_rl
63 SSD_ru = sticky_ru
64 SSD_rlp = sticky_rlp
65 SSD_rup = sticky_rup
66
67 if (SSD_ru .gt. SSD_rup) then
68 SSD_rbig = SSD_ru
69 else
70 SSD_rbig = SSD_rup
71 endif
72
73 sticky_initialized = .true.
74 return
75 end subroutine set_sticky_params
76
77 subroutine do_sticky_pair(atom1, atom2, d, rij, r2, A, pot, f, t, &
78 do_pot, do_stress)
79
80 !! This routine does only the sticky portion of the SSD potential
81 !! [Chandra and Ichiye, J. Chem. Phys. 111, 2701 (1999)].
82 !! The Lennard-Jones and dipolar interaction must be handled separately.
83
84 !! We assume that the rotation matrices have already been calculated
85 !! and placed in the A array.
86
87 !! i and j are pointers to the two SSD atoms
88
89 integer, intent(in) :: atom1, atom2
90 real (kind=dp), intent(inout) :: rij, r2
91 real (kind=dp), dimension(3), intent(in) :: d
92 real (kind=dp) :: pot
93 real (kind=dp), dimension(9,getNlocal()) :: A
94 real (kind=dp), dimension(3,getNlocal()) :: f
95 real (kind=dp), dimension(3,getNlocal()) :: t
96 logical, intent(in) :: do_pot, do_stress
97
98 real (kind=dp) :: xi, yi, zi, xj, yj, zj, xi2, yi2, zi2, xj2, yj2, zj2
99 real (kind=dp) :: r3, r5, r6, s, sp, dsdr, dspdr
100 real (kind=dp) :: wi, wj, w, wip, wjp, wp
101 real (kind=dp) :: dwidx, dwidy, dwidz, dwjdx, dwjdy, dwjdz
102 real (kind=dp) :: dwipdx, dwipdy, dwipdz, dwjpdx, dwjpdy, dwjpdz
103 real (kind=dp) :: dwidux, dwiduy, dwiduz, dwjdux, dwjduy, dwjduz
104 real (kind=dp) :: dwipdux, dwipduy, dwipduz, dwjpdux, dwjpduy, dwjpduz
105 real (kind=dp) :: zif, zis, zjf, zjs, uglyi, uglyj
106 real (kind=dp) :: drdx, drdy, drdz
107 real (kind=dp) :: txi, tyi, tzi, txj, tyj, tzj
108 real (kind=dp) :: fxii, fyii, fzii, fxjj, fyjj, fzjj
109 real (kind=dp) :: fxij, fyij, fzij, fxji, fyji, fzji
110 real (kind=dp) :: fxradial, fyradial, fzradial
111 real (kind=dp) :: rijtest, rjitest
112 real (kind=dp) :: radcomxi, radcomyi, radcomzi
113 real (kind=dp) :: radcomxj, radcomyj, radcomzj
114
115
116 if (.not.sticky_initialized) then
117 write(*,*) 'Sticky forces not initialized!'
118 return
119 endif
120
121 if ( rij .LE. SSD_rbig ) then
122
123 r3 = r2*rij
124 r5 = r3*r2
125
126 drdx = d(1) / rij
127 drdy = d(2) / rij
128 drdz = d(3) / rij
129
130 #ifdef IS_MPI
131 ! rotate the inter-particle separation into the two different
132 ! body-fixed coordinate systems:
133
134 xi = A_row(1,atom1)*d(1) + A_row(2,atom1)*d(2) + A_row(3,atom1)*d(3)
135 yi = A_row(4,atom1)*d(1) + A_row(5,atom1)*d(2) + A_row(6,atom1)*d(3)
136 zi = A_row(7,atom1)*d(1) + A_row(8,atom1)*d(2) + A_row(9,atom1)*d(3)
137
138 ! negative sign because this is the vector from j to i:
139
140 xj = -(A_Col(1,atom2)*d(1) + A_Col(2,atom2)*d(2) + A_Col(3,atom2)*d(3))
141 yj = -(A_Col(4,atom2)*d(1) + A_Col(5,atom2)*d(2) + A_Col(6,atom2)*d(3))
142 zj = -(A_Col(7,atom2)*d(1) + A_Col(8,atom2)*d(2) + A_Col(9,atom2)*d(3))
143 #else
144 ! rotate the inter-particle separation into the two different
145 ! body-fixed coordinate systems:
146
147 xi = a(1,atom1)*d(1) + a(2,atom1)*d(2) + a(3,atom1)*d(3)
148 yi = a(4,atom1)*d(1) + a(5,atom1)*d(2) + a(6,atom1)*d(3)
149 zi = a(7,atom1)*d(1) + a(8,atom1)*d(2) + a(9,atom1)*d(3)
150
151 ! negative sign because this is the vector from j to i:
152
153 xj = -(a(1,atom2)*d(1) + a(2,atom2)*d(2) + a(3,atom2)*d(3))
154 yj = -(a(4,atom2)*d(1) + a(5,atom2)*d(2) + a(6,atom2)*d(3))
155 zj = -(a(7,atom2)*d(1) + a(8,atom2)*d(2) + a(9,atom2)*d(3))
156 #endif
157
158 xi2 = xi*xi
159 yi2 = yi*yi
160 zi2 = zi*zi
161
162 xj2 = xj*xj
163 yj2 = yj*yj
164 zj2 = zj*zj
165
166 call calc_sw_fnc(rij, s, sp, dsdr, dspdr)
167
168 wi = 2.0d0*(xi2-yi2)*zi / r3
169 wj = 2.0d0*(xj2-yj2)*zj / r3
170 w = wi+wj
171
172 zif = zi/rij - 0.6d0
173 zis = zi/rij + 0.8d0
174
175 zjf = zj/rij - 0.6d0
176 zjs = zj/rij + 0.8d0
177
178 wip = zif*zif*zis*zis - SSD_w0
179 wjp = zjf*zjf*zjs*zjs - SSD_w0
180 wp = wip + wjp
181
182 if (do_pot) then
183 #ifdef IS_MPI
184 pot_row(atom1) = pot_row(atom1) + 0.25d0*(SSD_v0*s*w + SSD_v0p*sp*wp)
185 pot_col(atom2) = pot_col(atom2) + 0.25d0*(SSD_v0*s*w + SSD_v0p*sp*wp)
186 #else
187 pot = pot + 0.5d0*(SSD_v0*s*w + SSD_v0p*sp*wp)
188 #endif
189 endif
190
191 dwidx = 4.0d0*xi*zi/r3 - 6.0d0*xi*zi*(xi2-yi2)/r5
192 dwidy = - 4.0d0*yi*zi/r3 - 6.0d0*yi*zi*(xi2-yi2)/r5
193 dwidz = 2.0d0*(xi2-yi2)/r3 - 6.0d0*zi2*(xi2-yi2)/r5
194
195 dwjdx = 4.0d0*xj*zj/r3 - 6.0d0*xj*zj*(xj2-yj2)/r5
196 dwjdy = - 4.0d0*yj*zj/r3 - 6.0d0*yj*zj*(xj2-yj2)/r5
197 dwjdz = 2.0d0*(xj2-yj2)/r3 - 6.0d0*zj2*(xj2-yj2)/r5
198
199 uglyi = zif*zif*zis + zif*zis*zis
200 uglyj = zjf*zjf*zjs + zjf*zjs*zjs
201
202 dwipdx = -2.0d0*xi*zi*uglyi/r3
203 dwipdy = -2.0d0*yi*zi*uglyi/r3
204 dwipdz = 2.0d0*(1.0d0/rij - zi2/r3)*uglyi
205
206 dwjpdx = -2.0d0*xj*zj*uglyj/r3
207 dwjpdy = -2.0d0*yj*zj*uglyj/r3
208 dwjpdz = 2.0d0*(1.0d0/rij - zj2/r3)*uglyj
209
210 dwidux = 4.0d0*(yi*zi2 + 0.5d0*yi*(xi2-yi2))/r3
211 dwiduy = 4.0d0*(xi*zi2 - 0.5d0*xi*(xi2-yi2))/r3
212 dwiduz = - 8.0d0*xi*yi*zi/r3
213
214 dwjdux = 4.0d0*(yj*zj2 + 0.5d0*yj*(xj2-yj2))/r3
215 dwjduy = 4.0d0*(xj*zj2 - 0.5d0*xj*(xj2-yj2))/r3
216 dwjduz = - 8.0d0*xj*yj*zj/r3
217
218 dwipdux = 2.0d0*yi*uglyi/rij
219 dwipduy = -2.0d0*xi*uglyi/rij
220 dwipduz = 0.0d0
221
222 dwjpdux = 2.0d0*yj*uglyj/rij
223 dwjpduy = -2.0d0*xj*uglyj/rij
224 dwjpduz = 0.0d0
225
226 ! do the torques first since they are easy:
227 ! remember that these are still in the body fixed axes
228
229 txi = 0.5d0*(SSD_v0*s*dwidux + SSD_v0p*sp*dwipdux)
230 tyi = 0.5d0*(SSD_v0*s*dwiduy + SSD_v0p*sp*dwipduy)
231 tzi = 0.5d0*(SSD_v0*s*dwiduz + SSD_v0p*sp*dwipduz)
232
233 txj = 0.5d0*(SSD_v0*s*dwjdux + SSD_v0p*sp*dwjpdux)
234 tyj = 0.5d0*(SSD_v0*s*dwjduy + SSD_v0p*sp*dwjpduy)
235 tzj = 0.5d0*(SSD_v0*s*dwjduz + SSD_v0p*sp*dwjpduz)
236
237 ! go back to lab frame using transpose of rotation matrix:
238
239 #ifdef IS_MPI
240 t_Row(1,atom1) = t_Row(1,atom1) + a_Row(1,atom1)*txi + &
241 a_Row(4,atom1)*tyi + a_Row(7,atom1)*tzi
242 t_Row(2,atom1) = t_Row(2,atom1) + a_Row(2,atom1)*txi + &
243 a_Row(5,atom1)*tyi + a_Row(8,atom1)*tzi
244 t_Row(3,atom1) = t_Row(3,atom1) + a_Row(3,atom1)*txi + &
245 a_Row(6,atom1)*tyi + a_Row(9,atom1)*tzi
246
247 t_Col(1,atom2) = t_Col(1,atom2) + a_Col(1,atom2)*txj + &
248 a_Col(4,atom2)*tyj + a_Col(7,atom2)*tzj
249 t_Col(2,atom2) = t_Col(2,atom2) + a_Col(2,atom2)*txj + &
250 a_Col(5,atom2)*tyj + a_Col(8,atom2)*tzj
251 t_Col(3,atom2) = t_Col(3,atom2) + a_Col(3,atom2)*txj + &
252 a_Col(6,atom2)*tyj + a_Col(9,atom2)*tzj
253 #else
254 t(1,atom1) = t(1,atom1) + a(1,atom1)*txi + a(4,atom1)*tyi + a(7,atom1)*tzi
255 t(2,atom1) = t(2,atom1) + a(2,atom1)*txi + a(5,atom1)*tyi + a(8,atom1)*tzi
256 t(3,atom1) = t(3,atom1) + a(3,atom1)*txi + a(6,atom1)*tyi + a(9,atom1)*tzi
257
258 t(1,atom2) = t(1,atom2) + a(1,atom2)*txj + a(4,atom2)*tyj + a(7,atom2)*tzj
259 t(2,atom2) = t(2,atom2) + a(2,atom2)*txj + a(5,atom2)*tyj + a(8,atom2)*tzj
260 t(3,atom2) = t(3,atom2) + a(3,atom2)*txj + a(6,atom2)*tyj + a(9,atom2)*tzj
261 #endif
262 ! Now, on to the forces:
263
264 ! first rotate the i terms back into the lab frame:
265
266 radcomxi = SSD_v0*s*dwidx+SSD_v0p*sp*dwipdx
267 radcomyi = SSD_v0*s*dwidy+SSD_v0p*sp*dwipdy
268 radcomzi = SSD_v0*s*dwidz+SSD_v0p*sp*dwipdz
269
270 radcomxj = SSD_v0*s*dwjdx+SSD_v0p*sp*dwjpdx
271 radcomyj = SSD_v0*s*dwjdy+SSD_v0p*sp*dwjpdy
272 radcomzj = SSD_v0*s*dwjdz+SSD_v0p*sp*dwjpdz
273
274 #ifdef IS_MPI
275 fxii = a_Row(1,atom1)*(radcomxi) + &
276 a_Row(4,atom1)*(radcomyi) + &
277 a_Row(7,atom1)*(radcomzi)
278 fyii = a_Row(2,atom1)*(radcomxi) + &
279 a_Row(5,atom1)*(radcomyi) + &
280 a_Row(8,atom1)*(radcomzi)
281 fzii = a_Row(3,atom1)*(radcomxi) + &
282 a_Row(6,atom1)*(radcomyi) + &
283 a_Row(9,atom1)*(radcomzi)
284
285 fxjj = a_Col(1,atom2)*(radcomxj) + &
286 a_Col(4,atom2)*(radcomyj) + &
287 a_Col(7,atom2)*(radcomzj)
288 fyjj = a_Col(2,atom2)*(radcomxj) + &
289 a_Col(5,atom2)*(radcomyj) + &
290 a_Col(8,atom2)*(radcomzj)
291 fzjj = a_Col(3,atom2)*(radcomxj)+ &
292 a_Col(6,atom2)*(radcomyj) + &
293 a_Col(9,atom2)*(radcomzj)
294 #else
295 fxii = a(1,atom1)*(radcomxi) + &
296 a(4,atom1)*(radcomyi) + &
297 a(7,atom1)*(radcomzi)
298 fyii = a(2,atom1)*(radcomxi) + &
299 a(5,atom1)*(radcomyi) + &
300 a(8,atom1)*(radcomzi)
301 fzii = a(3,atom1)*(radcomxi) + &
302 a(6,atom1)*(radcomyi) + &
303 a(9,atom1)*(radcomzi)
304
305 fxjj = a(1,atom2)*(radcomxj) + &
306 a(4,atom2)*(radcomyj) + &
307 a(7,atom2)*(radcomzj)
308 fyjj = a(2,atom2)*(radcomxj) + &
309 a(5,atom2)*(radcomyj) + &
310 a(8,atom2)*(radcomzj)
311 fzjj = a(3,atom2)*(radcomxj)+ &
312 a(6,atom2)*(radcomyj) + &
313 a(9,atom2)*(radcomzj)
314 #endif
315
316 fxij = -fxii
317 fyij = -fyii
318 fzij = -fzii
319
320 fxji = -fxjj
321 fyji = -fyjj
322 fzji = -fzjj
323
324 ! now assemble these with the radial-only terms:
325
326 fxradial = 0.5d0*(SSD_v0*dsdr*drdx*w + SSD_v0p*dspdr*drdx*wp + fxii + fxji)
327 fyradial = 0.5d0*(SSD_v0*dsdr*drdy*w + SSD_v0p*dspdr*drdy*wp + fyii + fyji)
328 fzradial = 0.5d0*(SSD_v0*dsdr*drdz*w + SSD_v0p*dspdr*drdz*wp + fzii + fzji)
329
330 #ifdef IS_MPI
331 f_Row(1,atom1) = f_Row(1,atom1) + fxradial
332 f_Row(2,atom1) = f_Row(2,atom1) + fyradial
333 f_Row(3,atom1) = f_Row(3,atom1) + fzradial
334
335 f_Col(1,atom2) = f_Col(1,atom2) - fxradial
336 f_Col(2,atom2) = f_Col(2,atom2) - fyradial
337 f_Col(3,atom2) = f_Col(3,atom2) - fzradial
338 #else
339 f(1,atom1) = f(1,atom1) + fxradial
340 f(2,atom1) = f(2,atom1) + fyradial
341 f(3,atom1) = f(3,atom1) + fzradial
342
343 f(1,atom2) = f(1,atom2) - fxradial
344 f(2,atom2) = f(2,atom2) - fyradial
345 f(3,atom2) = f(3,atom2) - fzradial
346 #endif
347
348 if (do_stress) then
349 if (molMembershipList(atom1) .ne. molMembershipList(atom2)) then
350
351 ! because the d vector is the rj - ri vector, and
352 ! because fxradial, fyradial, and fzradial are the
353 ! (positive) force on atom i (negative on atom j) we need
354 ! a negative sign here:
355
356 tau_Temp(1) = tau_Temp(1) - d(1) * fxradial
357 tau_Temp(2) = tau_Temp(2) - d(1) * fyradial
358 tau_Temp(3) = tau_Temp(3) - d(1) * fzradial
359 tau_Temp(4) = tau_Temp(4) - d(2) * fxradial
360 tau_Temp(5) = tau_Temp(5) - d(2) * fyradial
361 tau_Temp(6) = tau_Temp(6) - d(2) * fzradial
362 tau_Temp(7) = tau_Temp(7) - d(3) * fxradial
363 tau_Temp(8) = tau_Temp(8) - d(3) * fyradial
364 tau_Temp(9) = tau_Temp(9) - d(3) * fzradial
365
366 virial_Temp = virial_Temp + (tau_Temp(1) + tau_Temp(5) + tau_Temp(9))
367 endif
368 endif
369 endif
370
371 end subroutine do_sticky_pair
372
373 !! calculates the switching functions and their derivatives for a given
374 subroutine calc_sw_fnc(r, s, sp, dsdr, dspdr)
375
376 real (kind=dp), intent(in) :: r
377 real (kind=dp), intent(inout) :: s, sp, dsdr, dspdr
378
379 ! distances must be in angstroms
380
381 if (r.lt.SSD_rl) then
382 s = 1.0d0
383 dsdr = 0.0d0
384 elseif (r.gt.SSD_ru) then
385 s = 0.0d0
386 dsdr = 0.0d0
387 else
388 s = ((SSD_ru + 2.0d0*r - 3.0d0*SSD_rl) * (SSD_ru-r)**2) / &
389 ((SSD_ru - SSD_rl)**3)
390 dsdr = 6.0d0*(r-SSD_ru)*(r-SSD_rl)/((SSD_ru - SSD_rl)**3)
391 endif
392
393 if (r.lt.SSD_rlp) then
394 sp = 1.0d0
395 dspdr = 0.0d0
396 elseif (r.gt.SSD_rup) then
397 sp = 0.0d0
398 dspdr = 0.0d0
399 else
400 sp = ((SSD_rup + 2.0d0*r - 3.0d0*SSD_rlp) * (SSD_rup-r)**2) / &
401 ((SSD_rup - SSD_rlp)**3)
402 dspdr = 6.0d0*(r-SSD_rup)*(r-SSD_rlp)/((SSD_rup - SSD_rlp)**3)
403 endif
404
405 return
406 end subroutine calc_sw_fnc
407 end module sticky_pair