| 45 |  | *     Phys Rev B, 28,784,1983 | 
| 46 |  | * | 
| 47 |  | */ | 
| 48 | < |  | 
| 48 | > |  | 
| 49 |  | #include "applications/staticProps/BondOrderParameter.hpp" | 
| 50 |  | #include "utils/simError.h" | 
| 51 |  | #include "io/DumpReader.hpp" | 
| 55 |  | namespace oopse { | 
| 56 |  |  | 
| 57 |  |  | 
| 58 | < | BondOrderParameter::BondOrderParameter(SimInfo* info, const std::string& filename, const std::string& sele1, | 
| 59 | < | const std::string& sele2, double rCut, int lNumber) | 
| 60 | < | : StaticAnalyser(info, filename), | 
| 61 | < | selectionScript1_(sele1), evaluator1_(info), | 
| 62 | < | seleMan1_(info){ | 
| 63 | < |  | 
| 58 | > | BondOrderParameter::BondOrderParameter(SimInfo* info, | 
| 59 | > | const std::string& filename, | 
| 60 | > | const std::string& sele, | 
| 61 | > | double rCut, int lNumber, int nbins) | 
| 62 | > | : StaticAnalyser(info, filename), selectionScript_(sele), | 
| 63 | > | evaluator_(info), seleMan_(info){ | 
| 64 | > |  | 
| 65 |  | setOutputName(getPrefix(filename) + ".obo"); | 
| 66 |  |  | 
| 67 | < | evaluator1_.loadScriptString(sele1); | 
| 68 | < | evaluator2_.loadScriptString(sele2); | 
| 69 | < |  | 
| 69 | < | if (!evaluator1_.isDynamic()) { | 
| 70 | < | seleMan1_.setSelectionSet(evaluator1_.evaluate()); | 
| 71 | < | }else { | 
| 72 | < | sprintf( painCave.errMsg, | 
| 73 | < | "--sele1 must be static selection\n"); | 
| 74 | < | painCave.severity = OOPSE_ERROR; | 
| 75 | < | painCave.isFatal = 1; | 
| 76 | < | simError(); | 
| 67 | > | evaluator_.loadScriptString(sele); | 
| 68 | > | if (!evaluator_.isDynamic()) { | 
| 69 | > | seleMan_.setSelectionSet(evaluator_.evaluate()); | 
| 70 |  | } | 
| 71 |  |  | 
| 72 | < | /* Set up cutoff radius and type of order parameter we are calcuating*/ | 
| 72 | > | // Set up cutoff radius and order of the Legendre Polynomial: | 
| 73 | > |  | 
| 74 |  | lNumber_ = lNumber; | 
| 75 |  | rCut_ = rCut; | 
| 76 | < | mSize_ = 2*lNumber_+1; | 
| 76 | > | mSize_ = 2*lNumber_+1; | 
| 77 |  |  | 
| 78 | < | int i; | 
| 79 | < | int j; | 
| 86 | < | StuntDouble* sd1; | 
| 87 | < | StuntDouble* sd2; | 
| 88 | < | for (sd1 = seleMan1_.beginSelected(i), sd2 = seleMan1_.beginSelected(j); | 
| 89 | < | sd1 != NULL && sd2 != NULL; | 
| 90 | < | sd1 = seleMan1_.nextSelected(i), sd2 = seleMan2_.nextSelected(j)) { | 
| 91 | < | for (sd2 = seleMan1_.beginSelected(j),sd2 | 
| 92 | < | sdPairs_.push_back(std::make_pair(sd1, sd2)); | 
| 93 | < | } | 
| 78 | > | deltaQ_ = 1.0 / nbins; | 
| 79 | > | deltaW_ = 2.0 / nbins; | 
| 80 |  |  | 
| 81 | + | Q_histogram_.resize(nbins); | 
| 82 | + | W_histogram_.resize(nbins); | 
| 83 |  |  | 
| 84 | < | } | 
| 84 | > | } | 
| 85 |  |  | 
| 86 | < | void BondOrderParameter::process | 
| 87 | < | () { | 
| 88 | < | Molecule* mol; | 
| 89 | < | RigidBody* rb; | 
| 102 | < | SimInfo::MoleculeIterator mi; | 
| 103 | < | Molecule::RigidBodyIterator rbIter; | 
| 104 | < | RealType theta; | 
| 105 | < | RealType phi; | 
| 106 | < | RealType r; | 
| 107 | < | RealType dist; | 
| 108 | < | RealType* QBar_lm; | 
| 109 | < | RealType QSq_l; | 
| 110 | < | int nBonds; | 
| 111 | < | int m, m_index; | 
| 112 | < | RealSphericalHarmonic sphericalHarmonic; | 
| 86 | > | void BondOrderParameter::initalizeHistogram() { | 
| 87 | > | std::fill(Q_histogram_.begin(), Q_histogram_.end(), 0); | 
| 88 | > | std::fill(W_histogram_.begin(), W_histogram_.end(), 0); | 
| 89 | > | } | 
| 90 |  |  | 
| 91 | + | void BondOrderParameter::process() { | 
| 92 | + | Molecule* mol; | 
| 93 | + | Atom* atom; | 
| 94 | + | RigidBody* rb; | 
| 95 | + | SimInfo::MoleculeIterator mi; | 
| 96 | + | Molecule::RigidBodyIterator rbIter; | 
| 97 | + | Molecule::AtomIterator ai; | 
| 98 | + | StuntDouble* sd; | 
| 99 | + | RealType theta; | 
| 100 | + | RealType phi; | 
| 101 | + | RealType r; | 
| 102 | + | RealType dist; | 
| 103 | + | std::map<int, RealType> QBar_lm; | 
| 104 | + | RealType QSq_l; | 
| 105 | + | RealType Q_l; | 
| 106 | + | int nBonds; | 
| 107 | + | RealSphericalHarmonic sphericalHarmonic; | 
| 108 | + | int i, j; | 
| 109 | + |  | 
| 110 | + | // Set the l for the spherical harmonic, it doesn't change | 
| 111 | + | sphericalHarmonic.setL(lNumber_); | 
| 112 |  |  | 
| 115 | – | DumpReader reader(info_, dumpFilename_); | 
| 116 | – | int nFrames = reader.getNFrames(); | 
| 113 |  |  | 
| 114 | < | /*Set the l for the spherical harmonic, it doesn't change*/ | 
| 115 | < | sphericalHarmonic.setL(lNumber_); | 
| 114 | > | DumpReader reader(info_, dumpFilename_); | 
| 115 | > | int nFrames = reader.getNFrames(); | 
| 116 |  |  | 
| 121 | – | for (int i = 0; i < nFrames; i += step_) { | 
| 122 | – | reader.readFrame(i); | 
| 123 | – | currentSnapshot_ = info_->getSnapshotManager()->getCurrentSnapshot(); | 
| 124 | – | nBonds = 0; | 
| 117 |  |  | 
| 118 | < | for (mol = info_->beginMolecule(mi); mol != NULL; mol = info_->nextMolecule(mi)) { | 
| 119 | < | //change the positions of atoms which belong to the rigidbodies | 
| 120 | < | for (rb = mol->beginRigidBody(rbIter); rb != NULL; rb = mol->nextRigidBody(rbIter)) { | 
| 121 | < | rb->updateAtoms(); | 
| 122 | < | } | 
| 118 | > | for (int istep = 0; istep < nFrames; istep += step_) { | 
| 119 | > | reader.readFrame(istep); | 
| 120 | > | currentSnapshot_ = info_->getSnapshotManager()->getCurrentSnapshot(); | 
| 121 | > |  | 
| 122 | > | if (evaluator_.isDynamic()) { | 
| 123 | > | seleMan_.setSelectionSet(evaluator_.evaluate()); | 
| 124 | > | } | 
| 125 |  |  | 
| 126 | < | } | 
| 126 | > | // update the positions of atoms which belong to the rigidbodies | 
| 127 |  |  | 
| 128 | + | for (mol = info_->beginMolecule(mi); mol != NULL; | 
| 129 | + | mol = info_->nextMolecule(mi)) { | 
| 130 | + | for (rb = mol->beginRigidBody(rbIter); rb != NULL; | 
| 131 | + | rb = mol->nextRigidBody(rbIter)) { | 
| 132 | + | rb->updateAtoms(); | 
| 133 | + | } | 
| 134 | + | } | 
| 135 | + |  | 
| 136 | + | // outer loop is over the selected StuntDoubles: | 
| 137 |  |  | 
| 138 | < | /* Setup QBar */ | 
| 139 | < | QBar_lm = new double[mSize_]; | 
| 138 | > | for (sd = seleMan_.beginSelected(i); sd != NULL; | 
| 139 | > | sd = seleMan_.nextSelected(i)) { | 
| 140 |  |  | 
| 141 | < | /* Calculate "bonds" and build Q_lm(r) where Q_lm = Y_lm(theta(r),phi(r)) */ | 
| 139 | < | for (std::vector<std::pair<StuntDouble*, StuntDouble*> >::iterator j = sdPairs_.begin(); j != sdPairs_.end(); ++j) { | 
| 140 | < | Vector3d vec = j->first->getPos() - j->second->getPos(); | 
| 141 | < | currentSnapshot_->wrapVector(vec); | 
| 142 | < | /* The spherical harmonics are wrt any arbitray coordiate sysetm, | 
| 143 | < | * we choose standard spherical coordinates */ | 
| 144 | < | r = sqrt(pow(vec.x(),2)+pow(vec.y(),2)+pow(vec.z(),2)); | 
| 141 | > | // For this central atom, zero out nBonds and QBar_lm | 
| 142 |  |  | 
| 143 | < | /* Check to see if neighbor is in bond cuttoff*/ | 
| 144 | < | if (r<rCut_){ | 
| 145 | < | theta = atan(vec.y()/vec.x()); | 
| 146 | < | phi = acos(vec.z()/r); | 
| 147 | < | for(int m_index = 0; m_index < mSize_; m_index++){ | 
| 148 | < | sphericalHarmonic.setM(m_index-lNumber_); | 
| 149 | < | QBar_lm(m_index) += sphericalHarmonic.getValueAt(theta,phi); | 
| 150 | < | } | 
| 151 | < | nBonds++; | 
| 152 | < | } | 
| 153 | < | } | 
| 143 | > | nBonds = 0; | 
| 144 | > |  | 
| 145 | > | for (int m = -lNumber_; m <= lNumber_; m++) { | 
| 146 | > | QBar_lm[m] = 0.0; | 
| 147 | > | } | 
| 148 | > |  | 
| 149 | > | // inner loop is over all other atoms in the system: | 
| 150 | > |  | 
| 151 | > | for (mol = info_->beginMolecule(mi); mol != NULL; | 
| 152 | > | mol = info_->nextMolecule(mi)) { | 
| 153 | > | for (atom = mol->beginAtom(ai); atom != NULL; | 
| 154 | > | atom = mol->nextAtom(ai)) { | 
| 155 |  |  | 
| 158 | – | /*Normalize Qbar by number of Bonds*/ | 
| 159 | – | for ( int m_index = 0;m_index < mSize_; m_index++){ | 
| 160 | – | QBar_lm(m_index) = QBar_lm(m_index)/nBonds; | 
| 161 | – | } | 
| 156 |  |  | 
| 157 | < |  | 
| 158 | < | } | 
| 159 | < |  | 
| 160 | < | /*Normalize by number of frames*/ | 
| 161 | < | for ( int m_index = 0;m_index < mSize_; m_index++){ | 
| 162 | < | QBar_lm(m_index) = QBar_lm(m_index)/nFrames; | 
| 163 | < | } | 
| 157 | > | Vector3d vec = sd->getPos() - atom->getPos(); | 
| 158 | > | currentSnapshot_->wrapVector(vec); | 
| 159 | > |  | 
| 160 | > | // Calculate "bonds" and build Q_lm(r) where | 
| 161 | > | //      Q_lm = Y_lm(theta(r),phi(r)) | 
| 162 | > | // The spherical harmonics are wrt any arbitrary coordinate | 
| 163 | > | // system, we choose standard spherical coordinates | 
| 164 | > |  | 
| 165 | > | r = sqrt(pow(vec.x(),2)+pow(vec.y(),2)+pow(vec.z(),2)); | 
| 166 | > |  | 
| 167 | > | // Check to see if neighbor is in bond cutoff | 
| 168 | > |  | 
| 169 | > | if (r < rCut_) { | 
| 170 | > | theta = atan2(vec.y(), vec.x()); | 
| 171 | > | phi = acos(vec.z()/r); | 
| 172 | > | for(int m = -lNumber_; m <= lNumber_; m++){ | 
| 173 | > | sphericalHarmonic.setM(m); | 
| 174 | > | QBar_lm[m] += sphericalHarmonic.getValueAt(theta,phi); | 
| 175 | > | } | 
| 176 | > | nBonds++; | 
| 177 | > | } | 
| 178 | > | } | 
| 179 | > | } | 
| 180 | > |  | 
| 181 | > | // Normalize Qbar | 
| 182 | > | for (int m = -lNumber_;m <= lNumber_; m++){ | 
| 183 | > | QBar_lm[m] /= nBonds; | 
| 184 | > | } | 
| 185 |  |  | 
| 186 | + | // Find second order invariant Q_l | 
| 187 |  |  | 
| 188 | + | QSq_l = 0.0; | 
| 189 | + | for (int m = -lNumber_; m <= lNumber_; m++){ | 
| 190 | + | QSq_l += pow(QBar_lm[m], 2); | 
| 191 | + | } | 
| 192 | + | Q_l = sqrt(QSq_l*(4.0 * NumericConstant::PI / (2.0*(RealType)lNumber_ + 1))); | 
| 193 | + |  | 
| 194 | + | // Find Third Order Invariant W_l | 
| 195 |  |  | 
| 196 | < | /* Find second order invariant Q_l*/ | 
| 196 | > | // Make arrays for Wigner3jm | 
| 197 | > | double* THRCOF = new double[mSize_]; | 
| 198 | > | // Variables for Wigner routine | 
| 199 | > | double l_ = (double)lNumber_; | 
| 200 | > | double m2Min, m2Max; | 
| 201 | > | int error, m1, m2, m3; | 
| 202 |  |  | 
| 203 | < | for (int m_index = 0 ;m_index <= sizeM_; m++){ | 
| 204 | < | QSq_l += pow(QBar_lm(m),2); | 
| 205 | < | } | 
| 206 | < | Q_l_ = sqrt((4*NumericConstant::PI/lNumber_+1)*QSq_l); | 
| 203 | > | RealType W_l; | 
| 204 | > | RealType W_l_hat; | 
| 205 | > | W_l = 0.0; | 
| 206 | > | for (int m1 = -lNumber_; m1 <= lNumber_; m1++) { | 
| 207 | > | // Zero work array | 
| 208 | > | for (int ii = 0; ii < mSize_; ii++){ | 
| 209 | > | THRCOF[i] = 0.0; | 
| 210 | > | } | 
| 211 | > | // Get Wigner coefficients | 
| 212 | > | Wigner3jm(&l_, &l_, &l_, &(double)m1, &m2Min, &m2Max, THRCOF, &mSize_, &error); | 
| 213 | > | for (int m_index = 1; i < (int)(m2Max - m2Min-1.0); m_index++) { | 
| 214 | > | m2 = floor(m2Min) + m_index - 1; | 
| 215 | > | m3 = -m1-m2; | 
| 216 | > | W_l += THRCOF[m_index]*QBar_lm[m1+lNumber_]*QBar_lm[m2+lNumber_]*QBar_lm[m3+lNumber_]; | 
| 217 | > | } | 
| 218 | > | } | 
| 219 |  |  | 
| 220 | < | /* Find Third Order Invariant W_l*/ | 
| 220 | > | W_l_hat = W_l / pow(QSq_l, 1.5); | 
| 221 |  |  | 
| 222 | < | /* Make arrays for Wigner3jm */ | 
| 183 | < | double* THRCOF = new double[mSize_]; | 
| 184 | < | /* Variables for Wigner routine */ | 
| 185 | < | double l_ = (double)lNumber_; | 
| 186 | < | double m2Min; | 
| 187 | < | double m2Max; | 
| 188 | < | int error; | 
| 189 | < | int m1; | 
| 190 | < | int m2; | 
| 191 | < | int m3; | 
| 222 | > | // accumulate histogram data for Q_l and W_l_hat: | 
| 223 |  |  | 
| 224 | < | for (int m1 = -lNumber_;m <= lNumber_;m1++){ | 
| 225 | < | /* Zero work array */ | 
| 195 | < | for (i=0; i<mSize_;i++){ | 
| 196 | < | THRCOF[i] = 0.0; | 
| 197 | < | } | 
| 198 | < | /* Get wigner coefficients */ | 
| 199 | < | Wigner3jm(&l_,&l_,&l_,&(double)m1,&m2Min,&m2Max&,THRCOF,&mSize_,&error); | 
| 200 | < | for (m_index=1; i<(m2Max-M2Min-1.0);m_index++){ | 
| 201 | < | m2 = floor(m2Min) + m_index - 1; | 
| 202 | < | m3 = -m1-m2; | 
| 203 | < | W_l_ += THRCOF(m_index)*QBar_lm(m1+lNumber_)*QBar_lm(m2+lNumber_)*QBar_lm(m3+lNumber_); | 
| 204 | < | } | 
| 224 | > | collectHistogram(Q_l, W_l_hat); | 
| 225 | > |  | 
| 226 |  | } | 
| 227 | + | } | 
| 228 | + |  | 
| 229 | + | // Normalize by number of frames | 
| 230 | + | for (int m = -lNumber_; m <= lNumber_; m++){ | 
| 231 | + | QBar_lm[m] /=  nFrames; | 
| 232 | + | } | 
| 233 | + |  | 
| 234 | + |  | 
| 235 | + |  | 
| 236 | + |  | 
| 237 | + |  | 
| 238 | + | writeOrderParameter(); | 
| 239 | + |  | 
| 240 | + | } | 
| 241 |  |  | 
| 242 | + |  | 
| 243 | + | void BondOrderParameter::processHistogram() { | 
| 244 | + |  | 
| 245 | + | int nPairs = getNPairs(); | 
| 246 | + | RealType volume = info_->getSnapshotManager()->getCurrentSnapshot()->getVolume(); | 
| 247 | + | RealType pairDensity = nPairs /volume * 2.0; | 
| 248 | + | RealType pairConstant = ( 4.0 * NumericConstant::PI * pairDensity ) / 3.0; | 
| 249 |  |  | 
| 250 | < | writeOrderParameter(); | 
| 250 | > | for(int i = 0 ; i < histogram_.size(); ++i){ | 
| 251 |  |  | 
| 252 | + | RealType rLower = i * deltaR_; | 
| 253 | + | RealType rUpper = rLower + deltaR_; | 
| 254 | + | RealType volSlice = ( rUpper * rUpper * rUpper ) - ( rLower * rLower * rLower ); | 
| 255 | + | RealType nIdeal = volSlice * pairConstant; | 
| 256 | + |  | 
| 257 | + | avgGofr_[i] += histogram_[i] / nIdeal; | 
| 258 |  | } | 
| 259 |  |  | 
| 260 | + | } | 
| 261 |  |  | 
| 262 | < | void BondOrderParameter::writeOrderParameter() { | 
| 262 | > | void BondOrderParameter::collectHistogram(RealType Q_l, RealType W_l_hat) { | 
| 263 |  |  | 
| 264 | < | std::ofstream os(getOutputFileName().c_str()); | 
| 265 | < | os << "#radial distribution function\n"; | 
| 266 | < | os<< "#selection1: (" << selectionScript1_ << ")\t"; | 
| 267 | < | os << "selection2: (" << selectionScript2_ << ")\n"; | 
| 268 | < | os << "#p2\tdirector_x\tdirector_y\tdiretor_z\tangle(degree)\n"; | 
| 264 | > | if (Q_l < MaxQ_) { | 
| 265 | > | int whichBin = Q_l / deltaQ_; | 
| 266 | > | Q_histogram_[whichBin] += 1; | 
| 267 | > | } | 
| 268 | > | if (W_l_hat < MaxW_) { | 
| 269 | > | int whichBin = W_l_hat / deltaW_; | 
| 270 | > | W_histogram_[whichBin] += 1; | 
| 271 | > | } | 
| 272 | > | } | 
| 273 | > |  | 
| 274 |  |  | 
| 275 | < | for (std::size_t i = 0; i < orderParams_.size(); ++i) { | 
| 222 | < | os <<  orderParams_[i].p2 << "\t" | 
| 223 | < | <<  orderParams_[i].director[0] << "\t" | 
| 224 | < | <<  orderParams_[i].director[1] << "\t" | 
| 225 | < | <<  orderParams_[i].director[2] << "\t" | 
| 226 | < | <<  orderParams_[i].angle << "\n"; | 
| 275 | > | void BondOrderParameter::writeOrderParameter() { | 
| 276 |  |  | 
| 277 | < | } | 
| 277 | > | std::ofstream os(getOutputFileName().c_str()); | 
| 278 | > | os << "#Bond Order Parameter\n"; | 
| 279 | > | os << "#selection: (" << selectionScript_ << ")\n"; | 
| 280 |  |  | 
| 281 | < | } | 
| 281 | > | for (std::size_t i = 0; i < orderParams_.size(); ++i) { | 
| 282 | > | os <<  orderParams_[i].p2 << "\t" | 
| 283 | > | <<  orderParams_[i].director[0] << "\t" | 
| 284 | > | <<  orderParams_[i].director[1] << "\t" | 
| 285 | > | <<  orderParams_[i].director[2] << "\t" | 
| 286 | > | <<  orderParams_[i].angle << "\n"; | 
| 287 |  |  | 
| 288 | + | } | 
| 289 |  | } | 
| 290 |  |  | 
| 291 | + |  | 
| 292 | + |  | 
| 293 | + | } |