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Comparing trunk/src/applications/staticProps/BondOrderParameter.cpp (file contents):
Revision 1041 by gezelter, Wed Sep 20 20:13:40 2006 UTC vs.
Revision 1610 by gezelter, Fri Aug 12 14:37:25 2011 UTC

# Line 6 | Line 6
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
9 > * 1. Redistributions of source code must retain the above copyright
10   *    notice, this list of conditions and the following disclaimer.
11   *
12 < * 3. Redistributions in binary form must reproduce the above copyright
12 > * 2. Redistributions in binary form must reproduce the above copyright
13   *    notice, this list of conditions and the following disclaimer in the
14   *    documentation and/or other materials provided with the
15   *    distribution.
# Line 37 | Line 28
28   * arising out of the use of or inability to use software, even if the
29   * University of Notre Dame has been advised of the possibility of
30   * such damages.
31 + *
32 + * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your
33 + * research, please cite the appropriate papers when you publish your
34 + * work.  Good starting points are:
35 + *                                                                      
36 + * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).            
37 + * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).          
38 + * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).          
39 + * [4]  Vardeman & Gezelter, in progress (2009).                        
40 + *
41 + *  Created by J. Daniel Gezelter on 09/26/06.
42 + *  @author  J. Daniel Gezelter
43 + *  @version $Id$
44 + *
45   */
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 */
46  
47   #include "applications/staticProps/BondOrderParameter.hpp"
48   #include "utils/simError.h"
49   #include "io/DumpReader.hpp"
50   #include "primitives/Molecule.hpp"
51   #include "utils/NumericConstant.hpp"
54 #include "math/RealSphericalHarmonic.hpp"
52  
53 < namespace oopse {
53 > namespace OpenMD {
54  
55    BondOrderParameter::BondOrderParameter(SimInfo* info,
56                                           const std::string& filename,
57                                           const std::string& sele,
58 <                                         double rCut, int lNumber, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){
58 >                                         double rCut, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){
59      
60      setOutputName(getPrefix(filename) + ".bo");
61  
# Line 69 | Line 66 | namespace oopse {
66  
67      // Set up cutoff radius and order of the Legendre Polynomial:
68  
72    lNumber_ = lNumber;
69      rCut_ = rCut;
70 <    mSize_ = 2*lNumber_+1;    
70 >    nBins_ = nbins;
71 >    Qcount_.resize(lMax_+1);
72 >    Wcount_.resize(lMax_+1);
73  
74      // Q can take values from 0 to 1
75  
76      MinQ_ = 0.0;
77 <    MaxQ_ = 1.0;
77 >    MaxQ_ = 1.1;
78      deltaQ_ = (MaxQ_ - MinQ_) / nbins;
81    Q_histogram_.resize(nbins);
79  
80      // W_6 for icosahedral clusters is 11 / sqrt(4199) = 0.169754, so we'll
81      // use values for MinW_ and MaxW_ that are slightly larger than this:
82  
83 <    MinW_ = -0.18;
84 <    MaxW_ = 0.18;
83 >    MinW_ = -1.1;
84 >    MaxW_ = 1.1;
85      deltaW_ = (MaxW_ - MinW_) / nbins;
89    W_histogram_.resize(nbins);
86  
87 <  }
87 >    // Make arrays for Wigner3jm
88 >    double* THRCOF = new double[2*lMax_+1];
89 >    // Variables for Wigner routine
90 >    double lPass, m1Pass, m2m, m2M;
91 >    int error, mSize;
92 >    mSize = 2*lMax_+1;
93  
94 +    for (int l = 0; l <= lMax_; l++) {
95 +      lPass = (double)l;
96 +      for (int m1 = -l; m1 <= l; m1++) {
97 +        m1Pass = (double)m1;
98 +
99 +        std::pair<int,int> lm = std::make_pair(l, m1);
100 +        
101 +        // Zero work array
102 +        for (int ii = 0; ii < 2*l + 1; ii++){
103 +          THRCOF[ii] = 0.0;
104 +        }
105 +
106 +        // Get Wigner coefficients
107 +        Wigner3jm(&lPass, &lPass, &lPass,
108 +                  &m1Pass, &m2m, &m2M,
109 +                  THRCOF, &mSize, &error);
110 +      
111 +        m2Min[lm] = (int)floor(m2m);
112 +        m2Max[lm] = (int)floor(m2M);
113 +        
114 +        for (int mmm = 0; mmm <= (int)(m2M - m2m); mmm++) {
115 +          w3j[lm].push_back(THRCOF[mmm]);
116 +        }
117 +      }
118 +    }
119 +    delete [] THRCOF;
120 +    THRCOF = NULL;
121 +  }
122 +  
123    BondOrderParameter::~BondOrderParameter() {
124      Q_histogram_.clear();
125      W_histogram_.clear();
126 +    for (int l = 0; l <= lMax_; l++) {
127 +      for (int m = -l; m <= l; m++) {
128 +        w3j[std::make_pair(l,m)].clear();
129 +      }
130 +    }
131 +    w3j.clear();
132 +    m2Min.clear();
133 +    m2Max.clear();
134    }
135 <
135 >  
136    void BondOrderParameter::initalizeHistogram() {
137 <    std::fill(Q_histogram_.begin(), Q_histogram_.end(), 0);
138 <    std::fill(W_histogram_.begin(), W_histogram_.end(), 0);
137 >    for (int bin = 0; bin < nBins_; bin++) {
138 >      for (int l = 0; l <= lMax_; l++) {
139 >        Q_histogram_[std::make_pair(bin,l)] = 0;
140 >        W_histogram_[std::make_pair(bin,l)] = 0;
141 >      }
142 >    }
143    }
144  
145    void BondOrderParameter::process() {
146      Molecule* mol;
147      Atom* atom;
148      RigidBody* rb;
149 +    int myIndex;
150      SimInfo::MoleculeIterator mi;
151      Molecule::RigidBodyIterator rbIter;
152      Molecule::AtomIterator ai;
153      StuntDouble* sd;
154 <    RealType theta;
154 >    Vector3d vec;
155 >    RealType costheta;
156      RealType phi;
157      RealType r;
158      RealType dist;
159 <    std::map<int, RealType> QBar_lm;
160 <    RealType QSq_l;
161 <    RealType Q_l;
162 <    int nBonds;
163 <    RealSphericalHarmonic sphericalHarmonic;
159 >    std::map<std::pair<int,int>,ComplexType> q;
160 >    std::vector<RealType> q_l;
161 >    std::vector<RealType> q2;
162 >    std::vector<ComplexType> w;
163 >    std::vector<ComplexType> w_hat;
164 >    std::map<std::pair<int,int>,ComplexType> QBar;
165 >    std::vector<RealType> Q2;
166 >    std::vector<RealType> Q;
167 >    std::vector<ComplexType> W;
168 >    std::vector<ComplexType> W_hat;
169 >    int nBonds, Nbonds;
170 >    SphericalHarmonic sphericalHarmonic;
171      int i, j;
121  
122    // Set the l for the spherical harmonic, it doesn't change
123    sphericalHarmonic.setL(lNumber_);
172  
125
173      DumpReader reader(info_, dumpFilename_);    
174      int nFrames = reader.getNFrames();
175      frameCounter_ = 0;
176  
177 +    q_l.resize(lMax_+1);
178 +    q2.resize(lMax_+1);
179 +    w.resize(lMax_+1);
180 +    w_hat.resize(lMax_+1);
181 +
182 +    Q2.resize(lMax_+1);
183 +    Q.resize(lMax_+1);
184 +    W.resize(lMax_+1);
185 +    W_hat.resize(lMax_+1);
186 +    Nbonds = 0;
187 +
188      for (int istep = 0; istep < nFrames; istep += step_) {
189        reader.readFrame(istep);
190        frameCounter_++;
# Line 144 | Line 202 | namespace oopse {
202               rb = mol->nextRigidBody(rbIter)) {
203            rb->updateAtoms();
204          }        
205 <      }      
206 <      
205 >      }          
206 >            
207        // outer loop is over the selected StuntDoubles:
208  
209        for (sd = seleMan_.beginSelected(i); sd != NULL;
210             sd = seleMan_.nextSelected(i)) {
211  
212 <        // For this central atom, zero out nBonds and QBar_lm
155 <
212 >        myIndex = sd->getGlobalIndex();
213          nBonds = 0;
214 <      
215 <        for (int m = -lNumber_; m <= lNumber_; m++) {
216 <          QBar_lm[m] = 0.0;
214 >        
215 >        for (int l = 0; l <= lMax_; l++) {
216 >          for (int m = -l; m <= l; m++) {
217 >            q[std::make_pair(l,m)] = 0.0;
218 >          }
219          }
220          
221          // inner loop is over all other atoms in the system:
# Line 166 | Line 225 | namespace oopse {
225            for (atom = mol->beginAtom(ai); atom != NULL;
226                 atom = mol->nextAtom(ai)) {
227  
228 +            if (atom->getGlobalIndex() != myIndex) {
229  
230 <            Vector3d vec = sd->getPos() - atom->getPos();      
231 <            currentSnapshot_->wrapVector(vec);
232 <            
233 <            // Calculate "bonds" and build Q_lm(r) where
234 <            //      Q_lm = Y_lm(theta(r),phi(r))                
235 <            // The spherical harmonics are wrt any arbitrary coordinate
236 <            // system, we choose standard spherical coordinates
237 <            
238 <            r = sqrt(pow(vec.x(),2)+pow(vec.y(),2)+pow(vec.z(),2));
239 <            
240 <            // Check to see if neighbor is in bond cutoff
241 <            
242 <            if (r < rCut_) {            
243 <              theta = atan2(vec.y(), vec.x());
244 <              phi = acos(vec.z()/r);
245 <              for(int m = -lNumber_; m <= lNumber_; m++){
246 <                sphericalHarmonic.setM(m);
247 <                QBar_lm[m] += sphericalHarmonic.getValueAt(theta,phi);
248 <              }
249 <              nBonds++;
250 <            }  
230 >              vec = sd->getPos() - atom->getPos();      
231 >
232 >              if (usePeriodicBoundaryConditions_)
233 >                currentSnapshot_->wrapVector(vec);
234 >              
235 >              // Calculate "bonds" and build Q_lm(r) where
236 >              //      Q_lm = Y_lm(theta(r),phi(r))                
237 >              // The spherical harmonics are wrt any arbitrary coordinate
238 >              // system, we choose standard spherical coordinates
239 >              
240 >              r = vec.length();
241 >              
242 >              // Check to see if neighbor is in bond cutoff
243 >              
244 >              if (r < rCut_) {
245 >                costheta = vec.z() / r;
246 >                phi = atan2(vec.y(), vec.x());
247 >
248 >                for (int l = 0; l <= lMax_; l++) {
249 >                  sphericalHarmonic.setL(l);
250 >                  for(int m = -l; m <= l; m++){
251 >                    sphericalHarmonic.setM(m);
252 >                    q[std::make_pair(l,m)] += sphericalHarmonic.getValueAt(costheta, phi);
253 >
254 >                  }
255 >                }
256 >                nBonds++;
257 >              }  
258 >            }
259            }
260          }
261          
262 <        // Normalize Qbar
263 <        for (int m = -lNumber_;m <= lNumber_; m++){
264 <          QBar_lm[m] /= nBonds;
265 <        }
262 >        
263 >        for (int l = 0; l <= lMax_; l++) {
264 >          q2[l] = 0.0;
265 >          for (int m = -l; m <= l; m++){
266 >            q[std::make_pair(l,m)] /= (RealType)nBonds;            
267  
268 <        // Find second order invariant Q_l
269 <
270 <        QSq_l = 0.0;
202 <        for (int m = -lNumber_; m <= lNumber_; m++){
203 <          QSq_l += pow(QBar_lm[m], 2);  
268 >            q2[l] += norm(q[std::make_pair(l,m)]);
269 >          }
270 >          q_l[l] = sqrt(q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1));
271          }
272 <        Q_l = sqrt(QSq_l*(4.0 * NumericConstant::PI / (2.0*(RealType)lNumber_ + 1)));
206 <    
272 >        
273          // Find Third Order Invariant W_l
274 <
275 <        // Make arrays for Wigner3jm
276 <        double* THRCOF = new double[mSize_];
277 <        // Variables for Wigner routine
278 <        double l_ = (double)lNumber_;
279 <        double m1Pass, m2Min, m2Max;
280 <        int error, m1, m2, m3;
281 <
282 <        RealType W_l;
283 <        RealType W_l_hat;
284 <        W_l = 0.0;
219 <        for (int m1 = -lNumber_; m1 <= lNumber_; m1++) {
220 <          // Zero work array
221 <          for (int ii = 0; ii < mSize_; ii++){
222 <            THRCOF[i] = 0.0;
274 >    
275 >        for (int l = 0; l <= lMax_; l++) {
276 >          w[l] = 0.0;
277 >          for (int m1 = -l; m1 <= l; m1++) {
278 >            std::pair<int,int> lm = std::make_pair(l, m1);
279 >            for (int mmm = 0; mmm <= (m2Max[lm] - m2Min[lm]); mmm++) {
280 >              int m2 = m2Min[lm] + mmm;
281 >              int m3 = -m1-m2;
282 >              w[l] += w3j[lm][mmm] * q[lm] *
283 >                q[std::make_pair(l,m2)] *  q[std::make_pair(l,m3)];
284 >            }
285            }
286 <          // Get Wigner coefficients
287 <          m1Pass = (double)m1;
226 <          Wigner3jm(&l_, &l_, &l_, &m1Pass, &m2Min, &m2Max, THRCOF, &mSize_, &error);
227 <          for (int m_index = 1; i < (int)(m2Max - m2Min-1.0); m_index++) {
228 <            m2 = floor(m2Min) + m_index - 1;
229 <            m3 = -m1-m2;
230 <            W_l += THRCOF[m_index]*QBar_lm[m1+lNumber_]*QBar_lm[m2+lNumber_]*QBar_lm[m3+lNumber_];
231 <          }
286 >          
287 >          w_hat[l] = w[l] / pow(q2[l], 1.5);
288          }
289  
290 <        W_l_hat = W_l / pow(QSq_l, 1.5);
291 <
292 <        // accumulate histogram data for Q_l and W_l_hat:
293 <
294 <        collectHistogram(Q_l, W_l_hat);
295 <                
290 >        collectHistogram(q_l, w_hat);
291 >        
292 >        Nbonds += nBonds;
293 >        for (int l = 0; l <= lMax_;  l++) {
294 >          for (int m = -l; m <= l; m++) {
295 >            QBar[std::make_pair(l,m)] += (RealType)nBonds*q[std::make_pair(l,m)];
296 >          }
297 >        }
298        }
299      }
300 +      
301 +    // Normalize Qbar2
302 +    for (int l = 0; l <= lMax_; l++) {
303 +      for (int m = -l; m <= l; m++){
304 +        QBar[std::make_pair(l,m)] /= Nbonds;
305 +      }
306 +    }
307      
308 <    writeOrderParameter();
308 >    // Find second order invariant Q_l
309      
310 +    for (int l = 0; l <= lMax_; l++) {
311 +      Q2[l] = 0.0;
312 +      for (int m = -l; m <= l; m++){
313 +        Q2[l] += norm(QBar[std::make_pair(l,m)]);
314 +      }
315 +      Q[l] = sqrt(Q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1));
316 +    }
317 +    
318 +    // Find Third Order Invariant W_l
319 +    
320 +    for (int l = 0; l <= lMax_; l++) {
321 +      W[l] = 0.0;
322 +      for (int m1 = -l; m1 <= l; m1++) {
323 +        std::pair<int,int> lm = std::make_pair(l, m1);
324 +        for (int mmm = 0; mmm <= (m2Max[lm] - m2Min[lm]); mmm++) {
325 +          int m2 = m2Min[lm] + mmm;
326 +          int m3 = -m1-m2;
327 +          W[l] += w3j[lm][mmm] * QBar[lm] *
328 +            QBar[std::make_pair(l,m2)] * QBar[std::make_pair(l,m3)];
329 +        }
330 +      }
331 +      
332 +      W_hat[l] = W[l] / pow(Q2[l], 1.5);
333 +    }
334 +    
335 +    writeOrderParameter(Q, W_hat);    
336    }
337  
338 +  void BondOrderParameter::collectHistogram(std::vector<RealType> q,
339 +                                            std::vector<ComplexType> what) {
340  
341 <  void BondOrderParameter::collectHistogram(RealType Q_l, RealType W_l_hat) {
342 <
343 <    if (Q_l >= MinQ_ && Q_l < MaxQ_) {
344 <      int qbin = (Q_l - MinQ_) / deltaQ_;
345 <      Q_histogram_[qbin] += 1;
346 <      Qcount_++;
347 <      sumQ_ += Q_l;
348 <      sumQ2_ += Q_l * Q_l;
349 <    } else {
350 <      sprintf( painCave.errMsg,
351 <               "Q_l value outside reasonable range\n");
352 <      painCave.severity = OOPSE_ERROR;
260 <      painCave.isFatal = 1;
261 <      simError();  
341 >    for (int l = 0; l <= lMax_; l++) {
342 >      if (q[l] >= MinQ_ && q[l] < MaxQ_) {
343 >        int qbin = (q[l] - MinQ_) / deltaQ_;
344 >        Q_histogram_[std::make_pair(qbin,l)] += 1;
345 >        Qcount_[l]++;      
346 >      } else {
347 >        sprintf( painCave.errMsg,
348 >                 "q_l value outside reasonable range\n");
349 >        painCave.severity = OPENMD_ERROR;
350 >        painCave.isFatal = 1;
351 >        simError();  
352 >      }
353      }
354  
355 <    if (W_l_hat >= MinW_ && W_l_hat < MaxW_) {
356 <      int wbin = (W_l_hat - MinW_) / deltaW_;
357 <      W_histogram_[wbin] += 1;
358 <      Wcount_++;
359 <      sumW_  += W_l_hat;
360 <      sumW2_ += W_l_hat*W_l_hat;
361 <    } else {
362 <      sprintf( painCave.errMsg,
363 <               "W_l_hat value outside reasonable range\n");
364 <      painCave.severity = OOPSE_ERROR;
365 <      painCave.isFatal = 1;
366 <      simError();  
355 >    for (int l = 0; l <= lMax_; l++) {
356 >      if (real(what[l]) >= MinW_ && real(what[l]) < MaxW_) {
357 >        int wbin = (real(what[l]) - MinW_) / deltaW_;
358 >        W_histogram_[std::make_pair(wbin,l)] += 1;
359 >        Wcount_[l]++;      
360 >      } else {
361 >        sprintf( painCave.errMsg,
362 >                 "Re[w_hat] value (%lf) outside reasonable range\n", real(what[l]));
363 >        painCave.severity = OPENMD_ERROR;
364 >        painCave.isFatal = 1;
365 >        simError();  
366 >      }
367      }
368 +
369    }  
370  
279  void BondOrderParameter::writeOrderParameter() {
371  
372 +  void BondOrderParameter::writeOrderParameter(std::vector<RealType> Q,
373 +                                               std::vector<ComplexType> What) {
374 +    
375      std::ofstream osq((getOutputFileName() + "q").c_str());
376  
377      if (osq.is_open()) {
284
285      RealType qAvg = sumQ_ / (RealType) Qcount_;
286      RealType qStdDev = sumQ2_ / (RealType) Qcount_ - qAvg*qAvg;
378        
379 <      osq << "# Bond Order Parameter Q_" << lNumber_ << "\n";
379 >      osq << "# Bond Order Parameters\n";
380        osq << "# selection: (" << selectionScript_ << ")\n";
381 <      osq << "# <Q_" << lNumber_ << ">: " << qAvg << "\n";
382 <      osq << "# std. dev.: " << qStdDev << "\n";
383 <      
381 >      osq << "# \n";
382 >      for (int l = 0; l <= lMax_; l++) {
383 >        osq << "# <Q_" << l << ">: " << Q[l] << "\n";
384 >      }
385        // Normalize by number of frames and write it out:
386 <      for (int i = 0; i < Q_histogram_.size(); ++i) {
387 <        RealType Qval = MinQ_ + (i + 0.5) * deltaQ_;
388 <        osq << Qval << "\t" << Q_histogram_[i] / frameCounter_ << "\n";
386 >      for (int i = 0; i < nBins_; ++i) {
387 >        RealType Qval = MinQ_ + (i + 0.5) * deltaQ_;              
388 >        osq << Qval;
389 >        for (int l = 0; l <= lMax_; l++) {
390 >
391 >          osq << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)]/(RealType)Qcount_[l]/deltaQ_;
392 >        }
393 >        osq << "\n";
394        }
395 <      
395 >
396        osq.close();
397 +
398      } else {
399        sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n",
400                (getOutputFileName() + "q").c_str());
# Line 307 | Line 405 | namespace oopse {
405      std::ofstream osw((getOutputFileName() + "w").c_str());
406  
407      if (osw.is_open()) {
408 <
311 <      RealType wAvg = sumW_ / (RealType) Wcount_;
312 <      RealType wStdDev = sumW2_ / (RealType) Wcount_ - wAvg*wAvg;
313 <      
314 <      osw << "# Bond Order Parameter W_" << lNumber_ << "\n";
408 >      osw << "# Bond Order Parameters\n";
409        osw << "# selection: (" << selectionScript_ << ")\n";
410 <      osw << "# <W_" << lNumber_ << ">: " << wAvg << "\n";
411 <      osw << "# std. dev.: " << wStdDev << "\n";
412 <      
410 >      osw << "# \n";
411 >      for (int l = 0; l <= lMax_; l++) {
412 >        osw << "# <W_" << l << ">: " << real(What[l]) << "\t" << imag(What[l]) << "\n";
413 >      }
414        // Normalize by number of frames and write it out:
415 <      for (int i = 0; i < W_histogram_.size(); ++i) {
416 <        RealType Wval = MinW_ + (i + 0.5) * deltaW_;
417 <        osw << Wval << "\t" << W_histogram_[i] / frameCounter_ << "\n";
415 >      for (int i = 0; i < nBins_; ++i) {
416 >        RealType Wval = MinW_ + (i + 0.5) * deltaW_;              
417 >        osw << Wval;
418 >        for (int l = 0; l <= lMax_; l++) {
419 >
420 >          osw << "\t" << (RealType)W_histogram_[std::make_pair(i,l)]/(RealType)Wcount_[l]/deltaW_;
421 >        }
422 >        osw << "\n";
423        }
424 <      
424 >
425        osw.close();
426      } else {
427        sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n",
# Line 329 | Line 429 | namespace oopse {
429        painCave.isFatal = 1;
430        simError();  
431      }
432 +      
433    }
434   }

Comparing trunk/src/applications/staticProps/BondOrderParameter.cpp (property svn:keywords):
Revision 1041 by gezelter, Wed Sep 20 20:13:40 2006 UTC vs.
Revision 1610 by gezelter, Fri Aug 12 14:37:25 2011 UTC

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