| 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/SphericalHarmonic.hpp" | 
| 55 |  | 
| 56 | namespace oopse { | 
| 57 |  | 
| 58 | BondOrderParameter::BondOrderParameter(SimInfo* info, | 
| 59 | const std::string& filename, | 
| 60 | const std::string& sele, | 
| 61 | double rCut, int lNumber, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){ | 
| 62 |  | 
| 63 | setOutputName(getPrefix(filename) + ".bo"); | 
| 64 |  | 
| 65 | evaluator_.loadScriptString(sele); | 
| 66 | if (!evaluator_.isDynamic()) { | 
| 67 | seleMan_.setSelectionSet(evaluator_.evaluate()); | 
| 68 | } | 
| 69 |  | 
| 70 | // Set up cutoff radius and order of the Legendre Polynomial: | 
| 71 |  | 
| 72 | lNumber_ = lNumber; | 
| 73 | rCut_ = rCut; | 
| 74 | mSize_ = 2*lNumber_+1; | 
| 75 |  | 
| 76 | // Q can take values from 0 to 1 | 
| 77 |  | 
| 78 | MinQ_ = 0.0; | 
| 79 | MaxQ_ = 3.0; | 
| 80 | deltaQ_ = (MaxQ_ - MinQ_) / nbins; | 
| 81 | Q_histogram_.resize(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 | W_histogram_.resize(nbins); | 
| 90 |  | 
| 91 | } | 
| 92 |  | 
| 93 | BondOrderParameter::~BondOrderParameter() { | 
| 94 | Q_histogram_.clear(); | 
| 95 | W_histogram_.clear(); | 
| 96 | } | 
| 97 |  | 
| 98 | void BondOrderParameter::initalizeHistogram() { | 
| 99 | std::fill(Q_histogram_.begin(), Q_histogram_.end(), 0); | 
| 100 | std::fill(W_histogram_.begin(), W_histogram_.end(), 0); | 
| 101 | } | 
| 102 |  | 
| 103 | void BondOrderParameter::process() { | 
| 104 | Molecule* mol; | 
| 105 | Atom* atom; | 
| 106 | RigidBody* rb; | 
| 107 | int myIndex; | 
| 108 | SimInfo::MoleculeIterator mi; | 
| 109 | Molecule::RigidBodyIterator rbIter; | 
| 110 | Molecule::AtomIterator ai; | 
| 111 | StuntDouble* sd; | 
| 112 | Vector3d vec; | 
| 113 | RealType costheta; | 
| 114 | RealType phi; | 
| 115 | RealType r; | 
| 116 | RealType dist; | 
| 117 | std::map<int,ComplexType> q_lm; | 
| 118 | std::map<int,ComplexType> QBar_lm; | 
| 119 | RealType QSq_l; | 
| 120 | RealType Q_l; | 
| 121 | ComplexType W_l; | 
| 122 | ComplexType W_l_hat; | 
| 123 | int nBonds, Nbonds; | 
| 124 | SphericalHarmonic sphericalHarmonic; | 
| 125 | int i, j; | 
| 126 | // Make arrays for Wigner3jm | 
| 127 | double* THRCOF = new double[mSize_]; | 
| 128 | // Variables for Wigner routine | 
| 129 | double l_ = (double)lNumber_; | 
| 130 | double m1Pass, m2Min, m2Max; | 
| 131 | int error, m1, m2, m3; | 
| 132 |  | 
| 133 | // Set the l for the spherical harmonic, it doesn't change | 
| 134 | sphericalHarmonic.setL(lNumber_); | 
| 135 |  | 
| 136 | DumpReader reader(info_, dumpFilename_); | 
| 137 | int nFrames = reader.getNFrames(); | 
| 138 | frameCounter_ = 0; | 
| 139 |  | 
| 140 | for (int istep = 0; istep < nFrames; istep += step_) { | 
| 141 | reader.readFrame(istep); | 
| 142 | frameCounter_++; | 
| 143 | currentSnapshot_ = info_->getSnapshotManager()->getCurrentSnapshot(); | 
| 144 |  | 
| 145 | if (evaluator_.isDynamic()) { | 
| 146 | seleMan_.setSelectionSet(evaluator_.evaluate()); | 
| 147 | } | 
| 148 |  | 
| 149 | // update the positions of atoms which belong to the rigidbodies | 
| 150 |  | 
| 151 | for (mol = info_->beginMolecule(mi); mol != NULL; | 
| 152 | mol = info_->nextMolecule(mi)) { | 
| 153 | for (rb = mol->beginRigidBody(rbIter); rb != NULL; | 
| 154 | rb = mol->nextRigidBody(rbIter)) { | 
| 155 | rb->updateAtoms(); | 
| 156 | } | 
| 157 | } | 
| 158 |  | 
| 159 | // outer loop is over the selected StuntDoubles: | 
| 160 |  | 
| 161 | for (sd = seleMan_.beginSelected(i); sd != NULL; | 
| 162 | sd = seleMan_.nextSelected(i)) { | 
| 163 |  | 
| 164 | myIndex = sd->getGlobalIndex(); | 
| 165 | nBonds = 0; | 
| 166 | for (int m = -lNumber_; m <= lNumber_; m++) { | 
| 167 | q_lm[m] = 0.0; | 
| 168 | } | 
| 169 |  | 
| 170 | // inner loop is over all other atoms in the system: | 
| 171 |  | 
| 172 | for (mol = info_->beginMolecule(mi); mol != NULL; | 
| 173 | mol = info_->nextMolecule(mi)) { | 
| 174 | for (atom = mol->beginAtom(ai); atom != NULL; | 
| 175 | atom = mol->nextAtom(ai)) { | 
| 176 |  | 
| 177 | if (atom->getGlobalIndex() != myIndex) { | 
| 178 |  | 
| 179 | vec = sd->getPos() - atom->getPos(); | 
| 180 | currentSnapshot_->wrapVector(vec); | 
| 181 |  | 
| 182 | // Calculate "bonds" and build Q_lm(r) where | 
| 183 | //      Q_lm = Y_lm(theta(r),phi(r)) | 
| 184 | // The spherical harmonics are wrt any arbitrary coordinate | 
| 185 | // system, we choose standard spherical coordinates | 
| 186 |  | 
| 187 | r = vec.length(); | 
| 188 |  | 
| 189 | // Check to see if neighbor is in bond cutoff | 
| 190 |  | 
| 191 | if (r < rCut_) { | 
| 192 | costheta = vec.z() / r; | 
| 193 | phi = atan2(vec.y(), vec.x()); | 
| 194 |  | 
| 195 | for(int m = -lNumber_; m <= lNumber_; m++){ | 
| 196 | sphericalHarmonic.setM(m); | 
| 197 | q_lm[m] += sphericalHarmonic.getValueAt(costheta, phi); | 
| 198 | } | 
| 199 | nBonds++; | 
| 200 | } | 
| 201 | } | 
| 202 | } | 
| 203 | } | 
| 204 | RealType ql = 0.0; | 
| 205 | for(int m=-lNumber_; m<=lNumber_; m++) { | 
| 206 | ql += norm(QBar_lm[m]); | 
| 207 | } | 
| 208 | ql *= 4.0*NumericConstant::PI/(RealType)(2*lNumber_+1); | 
| 209 | collectHistogram(sqrt(ql)/(RealType)nBonds); | 
| 210 |  | 
| 211 | Nbonds += nBonds; | 
| 212 | for (int m=-lNumber_; m<=lNumber_; m++) { | 
| 213 | QBar_lm[m] += q_lm[m]; | 
| 214 | } | 
| 215 | } | 
| 216 | } | 
| 217 |  | 
| 218 | // Normalize Qbar2 | 
| 219 | for (int m = -lNumber_;m <= lNumber_; m++){ | 
| 220 | QBar_lm[m] /= Nbonds; | 
| 221 | } | 
| 222 |  | 
| 223 | // Find second order invariant Q_l | 
| 224 |  | 
| 225 | QSq_l = 0.0; | 
| 226 | for (int m = -lNumber_; m <= lNumber_; m++){ | 
| 227 | QSq_l += norm(QBar_lm[m]); | 
| 228 | } | 
| 229 |  | 
| 230 | std::cout << "qsl = " << QSq_l << "\n"; | 
| 231 | Q_l = sqrt(QSq_l * 4.0 * NumericConstant::PI / (RealType)(2*lNumber_ + 1)); | 
| 232 |  | 
| 233 | // Find Third Order Invariant W_l | 
| 234 |  | 
| 235 | W_l = 0.0; | 
| 236 | for (int m1 = -lNumber_; m1 <= lNumber_; m1++) { | 
| 237 | // Zero work array | 
| 238 | for (int ii = 0; ii < mSize_; ii++){ | 
| 239 | THRCOF[ii] = 0.0; | 
| 240 | } | 
| 241 | // Get Wigner coefficients | 
| 242 | m1Pass = (double)m1; | 
| 243 |  | 
| 244 | Wigner3jm(&l_, &l_, &l_, | 
| 245 | &m1Pass, &m2Min, &m2Max, | 
| 246 | THRCOF, &mSize_, &error); | 
| 247 |  | 
| 248 | for (int mmm = 0; mmm < (int)(m2Max - m2Min); mmm++) { | 
| 249 | m2 = (int)floor(m2Min) + mmm; | 
| 250 | m3 = -m1-m2; | 
| 251 | W_l += THRCOF[mmm] * QBar_lm[m1] * QBar_lm[m2] * QBar_lm[m3]; | 
| 252 | } | 
| 253 | } | 
| 254 |  | 
| 255 | W_l_hat = W_l / pow(QSq_l, 1.5); | 
| 256 |  | 
| 257 | writeOrderParameter(Q_l, real(W_l_hat)); | 
| 258 | } | 
| 259 |  | 
| 260 | void BondOrderParameter::collectHistogram(RealType q_l) { | 
| 261 |  | 
| 262 | if (q_l >= MinQ_ && q_l < MaxQ_) { | 
| 263 | int qbin = (q_l - MinQ_) / deltaQ_; | 
| 264 | Q_histogram_[qbin] += 1; | 
| 265 | Qcount_++; | 
| 266 | sumQ_ += q_l; | 
| 267 | sumQ2_ += q_l * q_l; | 
| 268 | } else { | 
| 269 | sprintf( painCave.errMsg, | 
| 270 | "q_l value outside reasonable range\n"); | 
| 271 | painCave.severity = OOPSE_ERROR; | 
| 272 | painCave.isFatal = 1; | 
| 273 | simError(); | 
| 274 | } | 
| 275 |  | 
| 276 | } | 
| 277 |  | 
| 278 |  | 
| 279 | void BondOrderParameter::writeOrderParameter(RealType ql, RealType Wlhat) { | 
| 280 |  | 
| 281 | std::ofstream os(getOutputFileName().c_str()); | 
| 282 |  | 
| 283 | if (os.is_open()) { | 
| 284 |  | 
| 285 | os << "# Bond Order Parameters\n"; | 
| 286 | os << "# selection: (" << selectionScript_ << ")\n"; | 
| 287 | os << "# \n"; | 
| 288 | os << "# <Q_" << lNumber_ << ">: " << ql << "\n"; | 
| 289 | os << "# <W_" << lNumber_ << ">: " << Wlhat << "\n"; | 
| 290 | // Normalize by number of frames and write it out: | 
| 291 | for (int i = 0; i < Q_histogram_.size(); ++i) { | 
| 292 | RealType Qval = MinQ_ + (i + 0.5) * deltaQ_; | 
| 293 | osq << Qval << "\t" << (RealType)Q_histogram_[i] / (RealType)Qcount_ << "\n"; | 
| 294 | } | 
| 295 |  | 
| 296 | os.close(); | 
| 297 |  | 
| 298 | } else { | 
| 299 | sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n", | 
| 300 | getOutputFileName().c_str()); | 
| 301 | painCave.isFatal = 1; | 
| 302 | simError(); | 
| 303 | } | 
| 304 | } | 
| 305 | } |