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