1 // clang-format off
2 /* ----------------------------------------------------------------------
3    LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
4    https://www.lammps.org/, Sandia National Laboratories
5    Steve Plimpton, sjplimp@sandia.gov
6 
7    Copyright (2003) Sandia Corporation.  Under the terms of Contract
8    DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
9    certain rights in this software.  This software is distributed under
10    the GNU General Public License.
11 
12    See the README file in the top-level LAMMPS directory.
13 ------------------------------------------------------------------------- */
14 
15 /* ----------------------------------------------------------------------
16    Contributing author: Aidan Thompson (SNL) - original Tersoff implementation
17                         David Farrell (NWU) - ZBL addition
18 ------------------------------------------------------------------------- */
19 
20 #include "pair_tersoff_zbl_omp.h"
21 
22 #include "comm.h"
23 #include "error.h"
24 #include "math_const.h"
25 #include "math_special.h"
26 #include "memory.h"
27 #include "potential_file_reader.h"
28 #include "tokenizer.h"
29 #include "update.h"
30 
31 #include <cmath>
32 #include <cstring>
33 
34 using namespace LAMMPS_NS;
35 using namespace MathConst;
36 using namespace MathSpecial;
37 
38 #define DELTA 4
39 
40 /* ----------------------------------------------------------------------
41    Fermi-like smoothing function
42 ------------------------------------------------------------------------- */
43 
F_fermi(const double r,const double expsc,const double cut)44 static double F_fermi(const double r, const double expsc, const double cut)
45 {
46   return 1.0 / (1.0 + exp(-expsc*(r-cut)));
47 }
48 
49 /* ----------------------------------------------------------------------
50    Fermi-like smoothing function derivative with respect to r
51 ------------------------------------------------------------------------- */
52 
F_fermi_d(const double r,const double expsc,const double cut)53 static double F_fermi_d(const double r, const double expsc, const double cut)
54 {
55   return expsc*exp(-expsc*(r-cut)) / square(1.0 + exp(-expsc*(r-cut)));
56 }
57 
58 /* ---------------------------------------------------------------------- */
59 
PairTersoffZBLOMP(LAMMPS * lmp)60 PairTersoffZBLOMP::PairTersoffZBLOMP(LAMMPS *lmp) : PairTersoffOMP(lmp)
61 {
62   // hard-wired constants in metal or real units
63   // a0 = Bohr radius
64   // epsilon0 = permittivity of vacuum = q / energy-distance units
65   // e = unit charge
66   // 1 Kcal/mole = 0.043365121 eV
67 
68   if (strcmp(update->unit_style,"metal") == 0) {
69     global_a_0 = 0.529;
70     global_epsilon_0 = 0.00552635;
71     global_e = 1.0;
72   } else if (strcmp(update->unit_style,"real") == 0) {
73     global_a_0 = 0.529;
74     global_epsilon_0 = 0.00552635 * 0.043365121;
75     global_e = 1.0;
76   } else error->all(FLERR,"Pair tersoff/zbl requires metal or real units");
77 }
78 
79 /* ---------------------------------------------------------------------- */
80 
read_file(char * file)81 void PairTersoffZBLOMP::read_file(char *file)
82 {
83   memory->sfree(params);
84   params = nullptr;
85   nparams = maxparam = 0;
86 
87   // open file on proc 0
88 
89   if (comm->me == 0) {
90     PotentialFileReader reader(PairTersoff::lmp, file, "tersoff/zbl",
91                                unit_convert_flag);
92     char * line;
93 
94     // transparently convert units for supported conversions
95 
96     int unit_convert = reader.get_unit_convert();
97     double conversion_factor = utils::get_conversion_factor(utils::ENERGY,
98                                                             unit_convert);
99 
100     while ((line = reader.next_line(NPARAMS_PER_LINE))) {
101       try {
102         ValueTokenizer values(line);
103 
104         std::string iname = values.next_string();
105         std::string jname = values.next_string();
106         std::string kname = values.next_string();
107 
108         // ielement,jelement,kelement = 1st args
109         // if all 3 args are in element list, then parse this line
110         // else skip to next entry in file
111         int ielement, jelement, kelement;
112 
113         for (ielement = 0; ielement < nelements; ielement++)
114           if (iname == elements[ielement]) break;
115         if (ielement == nelements) continue;
116         for (jelement = 0; jelement < nelements; jelement++)
117           if (jname == elements[jelement]) break;
118         if (jelement == nelements) continue;
119         for (kelement = 0; kelement < nelements; kelement++)
120           if (kname == elements[kelement]) break;
121         if (kelement == nelements) continue;
122 
123         // load up parameter settings and error check their values
124 
125         if (nparams == maxparam) {
126           maxparam += DELTA;
127           params = (Param *) memory->srealloc(params,maxparam*sizeof(Param),
128                                               "pair:params");
129           // make certain all addional allocated storage is initialized
130           // to avoid false positives when checking with valgrind
131 
132           memset(params + nparams, 0, DELTA*sizeof(Param));
133         }
134 
135         params[nparams].ielement = ielement;
136         params[nparams].jelement = jelement;
137         params[nparams].kelement = kelement;
138         params[nparams].powerm      = values.next_double();
139         params[nparams].gamma       = values.next_double();
140         params[nparams].lam3        = values.next_double();
141         params[nparams].c           = values.next_double();
142         params[nparams].d           = values.next_double();
143         params[nparams].h           = values.next_double();
144         params[nparams].powern      = values.next_double();
145         params[nparams].beta        = values.next_double();
146         params[nparams].lam2        = values.next_double();
147         params[nparams].bigb        = values.next_double();
148         params[nparams].bigr        = values.next_double();
149         params[nparams].bigd        = values.next_double();
150         params[nparams].lam1        = values.next_double();
151         params[nparams].biga        = values.next_double();
152         params[nparams].Z_i         = values.next_double();
153         params[nparams].Z_j         = values.next_double();
154         params[nparams].ZBLcut      = values.next_double();
155         params[nparams].ZBLexpscale = values.next_double();
156         params[nparams].powermint = int(params[nparams].powerm);
157 
158         if (unit_convert) {
159           params[nparams].biga *= conversion_factor;
160           params[nparams].bigb *= conversion_factor;
161         }
162       } catch (TokenizerException &e) {
163         error->one(FLERR, e.what());
164       }
165 
166       // currently only allow m exponent of 1 or 3
167       if (params[nparams].c < 0.0 ||
168           params[nparams].d < 0.0 ||
169           params[nparams].powern < 0.0 ||
170           params[nparams].beta < 0.0 ||
171           params[nparams].lam2 < 0.0 ||
172           params[nparams].bigb < 0.0 ||
173           params[nparams].bigr < 0.0 ||
174           params[nparams].bigd < 0.0 ||
175           params[nparams].bigd > params[nparams].bigr ||
176           params[nparams].lam1 < 0.0 ||
177           params[nparams].biga < 0.0 ||
178           params[nparams].powerm - params[nparams].powermint != 0.0 ||
179           (params[nparams].powermint != 3 &&
180           params[nparams].powermint != 1) ||
181           params[nparams].gamma < 0.0 ||
182           params[nparams].Z_i < 1.0 ||
183           params[nparams].Z_j < 1.0 ||
184           params[nparams].ZBLcut < 0.0 ||
185           params[nparams].ZBLexpscale < 0.0)
186         error->one(FLERR,"Illegal Tersoff parameter");
187 
188       nparams++;
189     }
190   }
191 
192   MPI_Bcast(&nparams, 1, MPI_INT, 0, world);
193   MPI_Bcast(&maxparam, 1, MPI_INT, 0, world);
194 
195   if (comm->me != 0) {
196     params = (Param *) memory->srealloc(params,maxparam*sizeof(Param), "pair:params");
197   }
198 
199   MPI_Bcast(params, maxparam*sizeof(Param), MPI_BYTE, 0, world);
200 }
201 
202 /* ---------------------------------------------------------------------- */
203 
force_zeta(Param * param,double rsq,double zeta_ij,double & fforce,double & prefactor,int eflag,double & eng)204 void PairTersoffZBLOMP::force_zeta(Param *param, double rsq, double zeta_ij,
205                                    double &fforce, double &prefactor,
206                                    int eflag, double &eng)
207 {
208   double r,fa,fa_d,bij;
209 
210   r = sqrt(rsq);
211 
212   fa = (r > param->bigr + param->bigd) ? 0.0 :
213     -param->bigb * exp(-param->lam2 * r) * ters_fc(r,param) *
214     F_fermi(r,param->ZBLexpscale,param->ZBLcut);
215 
216   fa_d = (r > param->bigr + param->bigd) ? 0.0 :
217     param->bigb * exp(-param->lam2 * r) *
218     (param->lam2 * ters_fc(r,param) *
219      F_fermi(r,param->ZBLexpscale,param->ZBLcut) -
220      ters_fc_d(r,param) * F_fermi(r,param->ZBLexpscale,param->ZBLcut)
221      - ters_fc(r,param) * F_fermi_d(r,param->ZBLexpscale,param->ZBLcut));
222 
223   bij = ters_bij(zeta_ij,param);
224   fforce = 0.5*bij*fa_d;
225   prefactor = -0.5*fa * ters_bij_d(zeta_ij,param);
226   if (eflag) eng = 0.5*bij*fa;
227 }
228 
229 /* ---------------------------------------------------------------------- */
230 
repulsive(Param * param,double rsq,double & fforce,int eflag,double & eng)231 void PairTersoffZBLOMP::repulsive(Param *param, double rsq, double &fforce,
232                                int eflag, double &eng)
233 {
234   double r,tmp_fc,tmp_fc_d,tmp_exp;
235 
236   // Tersoff repulsive portion
237 
238   r = sqrt(rsq);
239   tmp_fc = ters_fc(r,param);
240   tmp_fc_d = ters_fc_d(r,param);
241   tmp_exp = exp(-param->lam1 * r);
242   double fforce_ters = param->biga * tmp_exp * (tmp_fc_d - tmp_fc*param->lam1);
243   double eng_ters = tmp_fc * param->biga * tmp_exp;
244 
245   // ZBL repulsive portion
246 
247   double esq = square(global_e);
248   double a_ij = (0.8854*global_a_0) /
249     (pow(param->Z_i,0.23) + pow(param->Z_j,0.23));
250   double premult = (param->Z_i * param->Z_j * esq)/(4.0*MY_PI*global_epsilon_0);
251   double r_ov_a = r/a_ij;
252   double phi = 0.1818*exp(-3.2*r_ov_a) + 0.5099*exp(-0.9423*r_ov_a) +
253     0.2802*exp(-0.4029*r_ov_a) + 0.02817*exp(-0.2016*r_ov_a);
254   double dphi = (1.0/a_ij) * (-3.2*0.1818*exp(-3.2*r_ov_a) -
255                               0.9423*0.5099*exp(-0.9423*r_ov_a) -
256                               0.4029*0.2802*exp(-0.4029*r_ov_a) -
257                               0.2016*0.02817*exp(-0.2016*r_ov_a));
258   double fforce_ZBL = premult*-phi/rsq + premult*dphi/r;
259   double eng_ZBL = premult*(1.0/r)*phi;
260 
261   // combine two parts with smoothing by Fermi-like function
262 
263   fforce = -(-F_fermi_d(r,param->ZBLexpscale,param->ZBLcut) * eng_ZBL +
264              (1.0 - F_fermi(r,param->ZBLexpscale,param->ZBLcut))*fforce_ZBL +
265              F_fermi_d(r,param->ZBLexpscale,param->ZBLcut)*eng_ters +
266              F_fermi(r,param->ZBLexpscale,param->ZBLcut)*fforce_ters) / r;
267 
268   if (eflag)
269     eng = (1.0 - F_fermi(r,param->ZBLexpscale,param->ZBLcut))*eng_ZBL +
270       F_fermi(r,param->ZBLexpscale,param->ZBLcut)*eng_ters;
271 }
272