| 1 | /* | 
| 2 | * Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. | 
| 3 | * | 
| 4 | * The University of Notre Dame grants you ("Licensee") a | 
| 5 | * non-exclusive, royalty free, license to use, modify and | 
| 6 | * redistribute this software in source and binary code form, provided | 
| 7 | * that the following conditions are met: | 
| 8 | * | 
| 9 | * 1. Acknowledgement of the program authors must be made in any | 
| 10 | *    publication of scientific results based in part on use of the | 
| 11 | *    program.  An acceptable form of acknowledgement is citation of | 
| 12 | *    the article in which the program was described (Matthew | 
| 13 | *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher | 
| 14 | *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented | 
| 15 | *    Parallel Simulation Engine for Molecular Dynamics," | 
| 16 | *    J. Comput. Chem. 26, pp. 252-271 (2005)) | 
| 17 | * | 
| 18 | * 2. Redistributions of source code must retain the above copyright | 
| 19 | *    notice, this list of conditions and the following disclaimer. | 
| 20 | * | 
| 21 | * 3. Redistributions in binary form must reproduce the above copyright | 
| 22 | *    notice, this list of conditions and the following disclaimer in the | 
| 23 | *    documentation and/or other materials provided with the | 
| 24 | *    distribution. | 
| 25 | * | 
| 26 | * This software is provided "AS IS," without a warranty of any | 
| 27 | * kind. All express or implied conditions, representations and | 
| 28 | * warranties, including any implied warranty of merchantability, | 
| 29 | * fitness for a particular purpose or non-infringement, are hereby | 
| 30 | * excluded.  The University of Notre Dame and its licensors shall not | 
| 31 | * be liable for any damages suffered by licensee as a result of | 
| 32 | * using, modifying or distributing the software or its | 
| 33 | * derivatives. In no event will the University of Notre Dame or its | 
| 34 | * licensors be liable for any lost revenue, profit or data, or for | 
| 35 | * direct, indirect, special, consequential, incidental or punitive | 
| 36 | * damages, however caused and regardless of the theory of liability, | 
| 37 | * arising out of the use of or inability to use software, even if the | 
| 38 | * University of Notre Dame has been advised of the possibility of | 
| 39 | * such damages. | 
| 40 | */ | 
| 41 |  | 
| 42 |  | 
| 43 | /* Creates orientational bond order parameters as outlined by | 
| 44 | *     Bond-orientaional order in liquids and glasses, Steinhart,Nelson,Ronchetti | 
| 45 | *     Phys Rev B, 28,784,1983 | 
| 46 | * | 
| 47 | */ | 
| 48 |  | 
| 49 | #include "applications/staticProps/BondOrderParameter.hpp" | 
| 50 | #include "utils/simError.h" | 
| 51 | #include "io/DumpReader.hpp" | 
| 52 | #include "primitives/Molecule.hpp" | 
| 53 | #include "utils/NumericConstant.hpp" | 
| 54 |  | 
| 55 | namespace oopse { | 
| 56 |  | 
| 57 | BondOrderParameter::BondOrderParameter(SimInfo* info, | 
| 58 | const std::string& filename, | 
| 59 | const std::string& sele, | 
| 60 | double rCut, int lMax, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){ | 
| 61 |  | 
| 62 | setOutputName(getPrefix(filename) + ".bo"); | 
| 63 |  | 
| 64 | evaluator_.loadScriptString(sele); | 
| 65 | if (!evaluator_.isDynamic()) { | 
| 66 | seleMan_.setSelectionSet(evaluator_.evaluate()); | 
| 67 | } | 
| 68 |  | 
| 69 | // Set up cutoff radius and order of the Legendre Polynomial: | 
| 70 |  | 
| 71 | lMax_ = lMax; | 
| 72 | rCut_ = rCut; | 
| 73 | nBins_ = nbins; | 
| 74 | Qcount_.resize(lMax_+1); | 
| 75 | Wcount_.resize(lMax_+1); | 
| 76 |  | 
| 77 | // Q can take values from 0 to 1 | 
| 78 |  | 
| 79 | MinQ_ = 0.0; | 
| 80 | MaxQ_ = 1.1; | 
| 81 | deltaQ_ = (MaxQ_ - MinQ_) / nbins; | 
| 82 |  | 
| 83 | // W_6 for icosahedral clusters is 11 / sqrt(4199) = 0.169754, so we'll | 
| 84 | // use values for MinW_ and MaxW_ that are slightly larger than this: | 
| 85 |  | 
| 86 | MinW_ = -0.18; | 
| 87 | MaxW_ = 0.18; | 
| 88 | deltaW_ = (MaxW_ - MinW_) / nbins; | 
| 89 | } | 
| 90 |  | 
| 91 | BondOrderParameter::~BondOrderParameter() { | 
| 92 | Q_histogram_.clear(); | 
| 93 | W_histogram_.clear(); | 
| 94 | } | 
| 95 |  | 
| 96 | void BondOrderParameter::initalizeHistogram() { | 
| 97 | for (int bin = 0; bin < nBins_; bin++) { | 
| 98 | for (int l = 0; l <= lMax_; l++) { | 
| 99 | Q_histogram_[std::make_pair(bin,l)] = 0; | 
| 100 | W_histogram_[std::make_pair(bin,l)] = 0; | 
| 101 | } | 
| 102 | } | 
| 103 | } | 
| 104 |  | 
| 105 | void BondOrderParameter::process() { | 
| 106 | Molecule* mol; | 
| 107 | Atom* atom; | 
| 108 | RigidBody* rb; | 
| 109 | int myIndex; | 
| 110 | SimInfo::MoleculeIterator mi; | 
| 111 | Molecule::RigidBodyIterator rbIter; | 
| 112 | Molecule::AtomIterator ai; | 
| 113 | StuntDouble* sd; | 
| 114 | Vector3d vec; | 
| 115 | RealType costheta; | 
| 116 | RealType phi; | 
| 117 | RealType r; | 
| 118 | RealType dist; | 
| 119 | std::map<std::pair<int,int>,ComplexType> q; | 
| 120 | std::vector<RealType> q_l; | 
| 121 | std::map<std::pair<int,int>,ComplexType> QBar; | 
| 122 | std::vector<RealType> Q2; | 
| 123 | std::vector<RealType> Q; | 
| 124 | std::vector<ComplexType> W; | 
| 125 | std::vector<ComplexType> W_hat; | 
| 126 | int nBonds, Nbonds; | 
| 127 | SphericalHarmonic sphericalHarmonic; | 
| 128 | int i, j; | 
| 129 | // Make arrays for Wigner3jm | 
| 130 | double* THRCOF = new double[2*lMax_+1]; | 
| 131 | // Variables for Wigner routine | 
| 132 | double lPass, m1Pass, m2Min, m2Max; | 
| 133 | int error, m1, m2, m3, mSize; | 
| 134 | mSize = 2*lMax_+1; | 
| 135 |  | 
| 136 | DumpReader reader(info_, dumpFilename_); | 
| 137 | int nFrames = reader.getNFrames(); | 
| 138 | frameCounter_ = 0; | 
| 139 |  | 
| 140 | q_l.resize(lMax_+1); | 
| 141 | Q2.resize(lMax_+1); | 
| 142 | Q.resize(lMax_+1); | 
| 143 | W.resize(lMax_+1); | 
| 144 | W_hat.resize(lMax_+1); | 
| 145 |  | 
| 146 | for (int istep = 0; istep < nFrames; istep += step_) { | 
| 147 | reader.readFrame(istep); | 
| 148 | frameCounter_++; | 
| 149 | currentSnapshot_ = info_->getSnapshotManager()->getCurrentSnapshot(); | 
| 150 |  | 
| 151 | if (evaluator_.isDynamic()) { | 
| 152 | seleMan_.setSelectionSet(evaluator_.evaluate()); | 
| 153 | } | 
| 154 |  | 
| 155 | // update the positions of atoms which belong to the rigidbodies | 
| 156 |  | 
| 157 | for (mol = info_->beginMolecule(mi); mol != NULL; | 
| 158 | mol = info_->nextMolecule(mi)) { | 
| 159 | for (rb = mol->beginRigidBody(rbIter); rb != NULL; | 
| 160 | rb = mol->nextRigidBody(rbIter)) { | 
| 161 | rb->updateAtoms(); | 
| 162 | } | 
| 163 | } | 
| 164 |  | 
| 165 | // outer loop is over the selected StuntDoubles: | 
| 166 |  | 
| 167 | for (sd = seleMan_.beginSelected(i); sd != NULL; | 
| 168 | sd = seleMan_.nextSelected(i)) { | 
| 169 |  | 
| 170 | myIndex = sd->getGlobalIndex(); | 
| 171 | nBonds = 0; | 
| 172 |  | 
| 173 | for (int l = 0; l <= lMax_; l++) { | 
| 174 | for (int m = -l; m <= l; m++) { | 
| 175 | q[std::make_pair(l,m)] = 0.0; | 
| 176 | } | 
| 177 | } | 
| 178 |  | 
| 179 | // inner loop is over all other atoms in the system: | 
| 180 |  | 
| 181 | for (mol = info_->beginMolecule(mi); mol != NULL; | 
| 182 | mol = info_->nextMolecule(mi)) { | 
| 183 | for (atom = mol->beginAtom(ai); atom != NULL; | 
| 184 | atom = mol->nextAtom(ai)) { | 
| 185 |  | 
| 186 | if (atom->getGlobalIndex() != myIndex) { | 
| 187 |  | 
| 188 | vec = sd->getPos() - atom->getPos(); | 
| 189 | currentSnapshot_->wrapVector(vec); | 
| 190 |  | 
| 191 | // Calculate "bonds" and build Q_lm(r) where | 
| 192 | //      Q_lm = Y_lm(theta(r),phi(r)) | 
| 193 | // The spherical harmonics are wrt any arbitrary coordinate | 
| 194 | // system, we choose standard spherical coordinates | 
| 195 |  | 
| 196 | r = vec.length(); | 
| 197 |  | 
| 198 | // Check to see if neighbor is in bond cutoff | 
| 199 |  | 
| 200 | if (r < rCut_) { | 
| 201 | costheta = vec.z() / r; | 
| 202 | phi = atan2(vec.y(), vec.x()); | 
| 203 |  | 
| 204 | for (int l = 0; l <= lMax_; l++) { | 
| 205 | sphericalHarmonic.setL(l); | 
| 206 | for(int m = -l; m <= l; m++){ | 
| 207 | sphericalHarmonic.setM(m); | 
| 208 | q[std::make_pair(l,m)] += sphericalHarmonic.getValueAt(costheta, phi); | 
| 209 | } | 
| 210 | } | 
| 211 | nBonds++; | 
| 212 | } | 
| 213 | } | 
| 214 | } | 
| 215 | } | 
| 216 |  | 
| 217 |  | 
| 218 | for (int l = 0; l <= lMax_; l++) { | 
| 219 | q_l[l] = 0.0; | 
| 220 | for(int m = -l; m <= l; m++) { | 
| 221 | q_l[l] += norm(q[std::make_pair(l,m)]); | 
| 222 | } | 
| 223 | q_l[l] *= 4.0*NumericConstant::PI/(RealType)(2*l + 1); | 
| 224 | q_l[l] = sqrt(q_l[l])/(RealType)nBonds; | 
| 225 | } | 
| 226 | collectHistogram(q_l); | 
| 227 |  | 
| 228 | Nbonds += nBonds; | 
| 229 | for (int l = 0; l <= lMax_;  l++) { | 
| 230 | for (int m = -l; m <= l; m++) { | 
| 231 | QBar[std::make_pair(l,m)] += q[std::make_pair(l,m)]; | 
| 232 | } | 
| 233 | } | 
| 234 | } | 
| 235 | } | 
| 236 |  | 
| 237 | // Normalize Qbar2 | 
| 238 | for (int l = 0; l <= lMax_; l++) { | 
| 239 | for (int m = -l; m <= l; m++){ | 
| 240 | QBar[std::make_pair(l,m)] /= Nbonds; | 
| 241 | } | 
| 242 | } | 
| 243 |  | 
| 244 | // Find second order invariant Q_l | 
| 245 |  | 
| 246 | for (int l = 0; l <= lMax_; l++) { | 
| 247 | Q2[l] = 0.0; | 
| 248 | for (int m = -l; m <= l; m++){ | 
| 249 | Q2[l] += norm(QBar[std::make_pair(l,m)]); | 
| 250 | } | 
| 251 | Q[l] = sqrt(Q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1)); | 
| 252 | } | 
| 253 |  | 
| 254 |  | 
| 255 |  | 
| 256 | // Find Third Order Invariant W_l | 
| 257 |  | 
| 258 | for (int l = 0; l <= lMax_; l++) { | 
| 259 | W[l] = 0.0; | 
| 260 | lPass = (double)l; | 
| 261 | for (int m1 = -l; m1 <= l; m1++) { | 
| 262 | // Zero work array | 
| 263 | for (int ii = 0; ii < 2*l + 1; ii++){ | 
| 264 | THRCOF[ii] = 0.0; | 
| 265 | } | 
| 266 | // Get Wigner coefficients | 
| 267 | m1Pass = (double)m1; | 
| 268 |  | 
| 269 | Wigner3jm(&lPass, &lPass, &lPass, | 
| 270 | &m1Pass, &m2Min, &m2Max, | 
| 271 | THRCOF, &mSize, &error); | 
| 272 |  | 
| 273 | for (int mmm = 0; mmm < (int)(m2Max - m2Min); mmm++) { | 
| 274 | m2 = (int)floor(m2Min) + mmm; | 
| 275 | m3 = -m1-m2; | 
| 276 | W[l] += THRCOF[mmm] * | 
| 277 | QBar[std::make_pair(l,m1)] * | 
| 278 | QBar[std::make_pair(l,m2)] * | 
| 279 | QBar[std::make_pair(l,m3)]; | 
| 280 | } | 
| 281 | } | 
| 282 |  | 
| 283 | W_hat[l] = W[l] / pow(Q2[l], 1.5); | 
| 284 | } | 
| 285 |  | 
| 286 | writeOrderParameter(Q, W_hat); | 
| 287 | } | 
| 288 |  | 
| 289 | void BondOrderParameter::collectHistogram(std::vector<RealType> q) { | 
| 290 |  | 
| 291 | for (int l = 0; l <= lMax_; l++) { | 
| 292 | if (q[l] >= MinQ_ && q[l] < MaxQ_) { | 
| 293 | int qbin = (q[l] - MinQ_) / deltaQ_; | 
| 294 | Q_histogram_[std::make_pair(qbin,l)] += 1; | 
| 295 | Qcount_[l]++; | 
| 296 | } else { | 
| 297 | sprintf( painCave.errMsg, | 
| 298 | "q_l value outside reasonable range\n"); | 
| 299 | painCave.severity = OOPSE_ERROR; | 
| 300 | painCave.isFatal = 1; | 
| 301 | simError(); | 
| 302 | } | 
| 303 | } | 
| 304 |  | 
| 305 | } | 
| 306 |  | 
| 307 |  | 
| 308 | void BondOrderParameter::writeOrderParameter(std::vector<RealType> Q, std::vector<ComplexType> What) { | 
| 309 |  | 
| 310 | std::ofstream os(getOutputFileName().c_str()); | 
| 311 |  | 
| 312 | if (os.is_open()) { | 
| 313 |  | 
| 314 | os << "# Bond Order Parameters\n"; | 
| 315 | os << "# selection: (" << selectionScript_ << ")\n"; | 
| 316 | for (int l = 0; l <= lMax_; l++) { | 
| 317 | os << "# \n"; | 
| 318 | os << "# <Q_" << l << ">: " << Q[l] << "\n"; | 
| 319 | os << "# <W_" << l << ">: " << real(What[l]) << "\n"; | 
| 320 | } | 
| 321 | // Normalize by number of frames and write it out: | 
| 322 | for (int i = 0; i < nBins_; ++i) { | 
| 323 | RealType Qval = MinQ_ + (i + 0.5) * deltaQ_; | 
| 324 | os << Qval; | 
| 325 | for (int l = 0; l <= lMax_; l++) { | 
| 326 | os << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)] / (RealType)Qcount_[l]; | 
| 327 | } | 
| 328 | os << "\n"; | 
| 329 | } | 
| 330 |  | 
| 331 | os.close(); | 
| 332 |  | 
| 333 | } else { | 
| 334 | sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n", | 
| 335 | getOutputFileName().c_str()); | 
| 336 | painCave.isFatal = 1; | 
| 337 | simError(); | 
| 338 | } | 
| 339 | } | 
| 340 | } |