| 9 |
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#include "Integrator.hpp" |
| 10 |
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#include "simError.h" |
| 11 |
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|
| 12 |
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#ifdef IS_MPI |
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#include "mpiSimulation.hpp" |
| 14 |
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#endif |
| 15 |
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|
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|
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// Basic isotropic thermostating and barostating via the Melchionna |
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// modification of the Hoover algorithm: |
| 19 |
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// |
| 29 |
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{ |
| 30 |
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chi = 0.0; |
| 31 |
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eta = 0.0; |
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integralOfChidt = 0.0; |
| 33 |
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have_tau_thermostat = 0; |
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have_tau_barostat = 0; |
| 35 |
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have_target_temp = 0; |
| 36 |
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have_target_pressure = 0; |
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have_chi_tolerance = 0; |
| 38 |
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have_eta_tolerance = 0; |
| 39 |
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have_pos_iter_tolerance = 0; |
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|
| 41 |
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oldPos = new double[3*nAtoms]; |
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oldVel = new double[3*nAtoms]; |
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oldJi = new double[3*nAtoms]; |
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#ifdef IS_MPI |
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Nparticles = mpiSim->getTotAtoms(); |
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#else |
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Nparticles = theInfo->n_atoms; |
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#endif |
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|
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} |
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|
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template<typename T> NPTi<T>::~NPTi() { |
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delete[] oldPos; |
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delete[] oldVel; |
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delete[] oldJi; |
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} |
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|
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template<typename T> void NPTi<T>::moveA() { |
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< |
|
| 60 |
< |
int i, j; |
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> |
|
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> |
//new version of NPTi |
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> |
int i, j, k; |
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DirectionalAtom* dAtom; |
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double Tb[3], ji[3]; |
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double A[3][3], I[3][3]; |
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double rj[3]; |
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double instaTemp, instaPress, instaVol; |
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double tt2, tb2, scaleFactor; |
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double COM[3]; |
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|
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tt2 = tauThermostat * tauThermostat; |
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tb2 = tauBarostat * tauBarostat; |
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instaTemp = tStats->getTemperature(); |
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instaPress = tStats->getPressure(); |
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instaVol = tStats->getVolume(); |
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|
| 54 |
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// first evolve chi a half step |
| 79 |
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|
| 80 |
< |
chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; |
| 81 |
< |
eta += dt2 * ( instaVol * (instaPress - targetPressure) / |
| 82 |
< |
(p_convert*NkBT*tb2)); |
| 59 |
< |
|
| 80 |
> |
tStats->getCOM(COM); |
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> |
|
| 82 |
> |
//evolve velocity half step |
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for( i=0; i<nAtoms; i++ ){ |
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|
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atoms[i]->getVel( vel ); |
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atoms[i]->getPos( pos ); |
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atoms[i]->getFrc( frc ); |
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|
| 88 |
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mass = atoms[i]->getMass(); |
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|
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for (j=0; j < 3; j++) { |
| 91 |
< |
vel[j] += dt2 * ((frc[j] / mass ) * eConvert - vel[j]*(chi+eta)); |
| 92 |
< |
rj[j] = pos[j]; |
| 91 |
> |
// velocity half step (use chi from previous step here): |
| 92 |
> |
vel[j] += dt2 * ((frc[j] / mass ) * eConvert - vel[j]*(chi + eta)); |
| 93 |
> |
|
| 94 |
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} |
| 95 |
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|
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atoms[i]->setVel( vel ); |
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< |
|
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info->wrapVector(rj); |
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< |
|
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< |
for (j = 0; j < 3; j++) |
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pos[j] += dt * (vel[j] + eta*rj[j]); |
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< |
|
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< |
atoms[i]->setPos( pos ); |
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< |
|
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> |
|
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if( atoms[i]->isDirectional() ){ |
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|
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dAtom = (DirectionalAtom *)atoms[i]; |
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< |
|
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> |
|
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// get and convert the torque to body frame |
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|
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dAtom->getTrq( Tb ); |
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|
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dAtom->setJ( ji ); |
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dAtom->setA( A ); |
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} |
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} |
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> |
} |
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|
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// evolve chi and eta half step |
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|
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chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; |
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eta += dt2 * ( instaVol * (instaPress - targetPressure) / (p_convert*NkBT*tb2)); |
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|
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//calculate the integral of chidt |
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integralOfChidt += dt2*chi; |
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|
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//save the old positions |
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for(i = 0; i < nAtoms; i++){ |
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atoms[i]->getPos(pos); |
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for(j = 0; j < 3; j++) |
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oldPos[i*3 + j] = pos[j]; |
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} |
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|
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//the first estimation of r(t+dt) is equal to r(t) |
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|
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for(k = 0; k < 4; k ++){ |
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|
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for(i =0 ; i < nAtoms; i++){ |
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|
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atoms[i]->getVel(vel); |
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atoms[i]->getPos(pos); |
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|
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for(j = 0; j < 3; j++) |
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rj[j] = (oldPos[i*3 + j] + pos[j])/2 - COM[j]; |
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|
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for(j = 0; j < 3; j++) |
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pos[j] = oldPos[i*3 + j] + dt*(vel[j] + eta*rj[j]); |
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|
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atoms[i]->setPos( pos ); |
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|
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} |
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|
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} |
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|
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|
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// Scale the box after all the positions have been moved: |
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|
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scaleFactor = exp(dt*eta); |
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painCave.isFatal = 1; |
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simError(); |
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} else { |
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< |
info->scaleBox(exp(dt*eta)); |
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< |
} |
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> |
info->scaleBox(scaleFactor); |
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> |
} |
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|
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} |
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|
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|
template<typename T> void NPTi<T>::moveB( void ){ |
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< |
|
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< |
int i, j; |
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> |
|
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> |
//new version of NPTi |
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> |
int i, j, k; |
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|
DirectionalAtom* dAtom; |
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double Tb[3], ji[3]; |
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|
double vel[3], frc[3]; |
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|
double mass; |
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|
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< |
double instaTemp, instaPress, instaVol; |
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> |
double instTemp, instPress, instVol; |
| 210 |
|
double tt2, tb2; |
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+ |
double oldChi, prevChi; |
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+ |
double oldEta, preEta; |
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|
|
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|
tt2 = tauThermostat * tauThermostat; |
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|
tb2 = tauBarostat * tauBarostat; |
| 216 |
|
|
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– |
instaTemp = tStats->getTemperature(); |
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– |
instaPress = tStats->getPressure(); |
| 163 |
– |
instaVol = tStats->getVolume(); |
| 217 |
|
|
| 218 |
< |
chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; |
| 219 |
< |
eta += dt2 * ( instaVol * (instaPress - targetPressure) / |
| 220 |
< |
(p_convert*NkBT*tb2)); |
| 221 |
< |
|
| 218 |
> |
// Set things up for the iteration: |
| 219 |
> |
|
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> |
oldChi = chi; |
| 221 |
> |
oldEta = eta; |
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> |
|
| 223 |
|
for( i=0; i<nAtoms; i++ ){ |
| 224 |
|
|
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|
atoms[i]->getVel( vel ); |
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– |
atoms[i]->getFrc( frc ); |
| 226 |
|
|
| 227 |
< |
mass = atoms[i]->getMass(); |
| 227 |
> |
for (j=0; j < 3; j++) |
| 228 |
> |
oldVel[3*i + j] = vel[j]; |
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|
|
| 176 |
– |
// velocity half step |
| 177 |
– |
for (j=0; j < 3; j++) |
| 178 |
– |
vel[j] += dt2 * ((frc[j] / mass ) * eConvert - vel[j]*(chi+eta)); |
| 179 |
– |
|
| 180 |
– |
atoms[i]->setVel( vel ); |
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– |
|
| 230 |
|
if( atoms[i]->isDirectional() ){ |
| 231 |
|
|
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|
dAtom = (DirectionalAtom *)atoms[i]; |
| 233 |
|
|
| 234 |
< |
// get and convert the torque to body frame |
| 187 |
< |
|
| 188 |
< |
dAtom->getTrq( Tb ); |
| 189 |
< |
dAtom->lab2Body( Tb ); |
| 234 |
> |
dAtom->getJ( ji ); |
| 235 |
|
|
| 236 |
< |
// get the angular momentum, and propagate a half step |
| 236 |
> |
for (j=0; j < 3; j++) |
| 237 |
> |
oldJi[3*i + j] = ji[j]; |
| 238 |
|
|
| 239 |
< |
dAtom->getJ( ji ); |
| 239 |
> |
} |
| 240 |
> |
} |
| 241 |
|
|
| 242 |
+ |
// do the iteration: |
| 243 |
+ |
|
| 244 |
+ |
instVol = tStats->getVolume(); |
| 245 |
+ |
|
| 246 |
+ |
for (k=0; k < 4; k++) { |
| 247 |
+ |
|
| 248 |
+ |
instTemp = tStats->getTemperature(); |
| 249 |
+ |
instPress = tStats->getPressure(); |
| 250 |
+ |
|
| 251 |
+ |
// evolve chi another half step using the temperature at t + dt/2 |
| 252 |
+ |
|
| 253 |
+ |
prevChi = chi; |
| 254 |
+ |
chi = oldChi + dt2 * ( instTemp / targetTemp - 1.0) / |
| 255 |
+ |
(tauThermostat*tauThermostat); |
| 256 |
+ |
|
| 257 |
+ |
preEta = eta; |
| 258 |
+ |
eta = oldEta + dt2 * ( instVol * (instPress - targetPressure) / |
| 259 |
+ |
(p_convert*NkBT*tb2)); |
| 260 |
+ |
|
| 261 |
+ |
|
| 262 |
+ |
for( i=0; i<nAtoms; i++ ){ |
| 263 |
+ |
|
| 264 |
+ |
atoms[i]->getFrc( frc ); |
| 265 |
+ |
atoms[i]->getVel(vel); |
| 266 |
+ |
|
| 267 |
+ |
mass = atoms[i]->getMass(); |
| 268 |
+ |
|
| 269 |
+ |
// velocity half step |
| 270 |
|
for (j=0; j < 3; j++) |
| 271 |
< |
ji[j] += dt2 * (Tb[j] * eConvert - ji[j]*chi); |
| 271 |
> |
vel[j] = oldVel[3*i+j] + dt2 * ((frc[j] / mass ) * eConvert - oldVel[3*i + j]*(chi + eta)); |
| 272 |
> |
|
| 273 |
> |
atoms[i]->setVel( vel ); |
| 274 |
> |
|
| 275 |
> |
if( atoms[i]->isDirectional() ){ |
| 276 |
|
|
| 277 |
< |
dAtom->setJ( ji ); |
| 277 |
> |
dAtom = (DirectionalAtom *)atoms[i]; |
| 278 |
> |
|
| 279 |
> |
// get and convert the torque to body frame |
| 280 |
> |
|
| 281 |
> |
dAtom->getTrq( Tb ); |
| 282 |
> |
dAtom->lab2Body( Tb ); |
| 283 |
> |
|
| 284 |
> |
for (j=0; j < 3; j++) |
| 285 |
> |
ji[j] = oldJi[3*i + j] + dt2 * (Tb[j] * eConvert - oldJi[3*i+j]*chi); |
| 286 |
> |
|
| 287 |
> |
dAtom->setJ( ji ); |
| 288 |
> |
} |
| 289 |
|
} |
| 290 |
+ |
|
| 291 |
+ |
if (fabs(prevChi - chi) <= chiTolerance && fabs(preEta -eta) <= etaTolerance) |
| 292 |
+ |
break; |
| 293 |
|
} |
| 294 |
+ |
|
| 295 |
+ |
//calculate integral of chida |
| 296 |
+ |
integralOfChidt += dt2*chi; |
| 297 |
+ |
|
| 298 |
+ |
|
| 299 |
|
} |
| 300 |
|
|
| 301 |
|
template<typename T> void NPTi<T>::resetIntegrator() { |
| 354 |
|
return -1; |
| 355 |
|
} |
| 356 |
|
|
| 357 |
+ |
if (!have_chi_tolerance) { |
| 358 |
+ |
sprintf( painCave.errMsg, |
| 359 |
+ |
"NPTi warning: setting chi tolerance to 1e-6\n"); |
| 360 |
+ |
chiTolerance = 1e-6; |
| 361 |
+ |
have_chi_tolerance = 1; |
| 362 |
+ |
painCave.isFatal = 0; |
| 363 |
+ |
simError(); |
| 364 |
+ |
} |
| 365 |
+ |
|
| 366 |
+ |
if (!have_eta_tolerance) { |
| 367 |
+ |
sprintf( painCave.errMsg, |
| 368 |
+ |
"NPTi warning: setting eta tolerance to 1e-6\n"); |
| 369 |
+ |
etaTolerance = 1e-6; |
| 370 |
+ |
have_eta_tolerance = 1; |
| 371 |
+ |
painCave.isFatal = 0; |
| 372 |
+ |
simError(); |
| 373 |
+ |
} |
| 374 |
|
// We need NkBT a lot, so just set it here: |
| 375 |
|
|
| 376 |
< |
NkBT = (double)info->ndf * kB * targetTemp; |
| 376 |
> |
NkBT = (double)Nparticles * kB * targetTemp; |
| 377 |
> |
fkBT = (double)info->ndf * kB * targetTemp; |
| 378 |
|
|
| 379 |
|
return 1; |
| 380 |
|
} |
| 381 |
+ |
|
| 382 |
+ |
template<typename T> double NPTi<T>::getConservedQuantity(void){ |
| 383 |
+ |
|
| 384 |
+ |
double conservedQuantity; |
| 385 |
+ |
double tb2; |
| 386 |
+ |
double eta2; |
| 387 |
+ |
double E_NPT; |
| 388 |
+ |
double U; |
| 389 |
+ |
double TS; |
| 390 |
+ |
double PV; |
| 391 |
+ |
double extra; |
| 392 |
+ |
|
| 393 |
+ |
U = tStats->getTotalE(); |
| 394 |
+ |
|
| 395 |
+ |
TS = fkBT * |
| 396 |
+ |
(integralOfChidt + tauThermostat * tauThermostat * chi * chi / 2.0) / eConvert; |
| 397 |
+ |
|
| 398 |
+ |
PV = (targetPressure * tStats->getVolume() / p_convert) / eConvert; |
| 399 |
+ |
|
| 400 |
+ |
tb2 = tauBarostat * tauBarostat; |
| 401 |
+ |
eta2 = eta * eta; |
| 402 |
+ |
|
| 403 |
+ |
|
| 404 |
+ |
extra = ((double)info->ndfTrans * kB * targetTemp * tb2 * eta2 / 2.0) / eConvert; |
| 405 |
+ |
|
| 406 |
+ |
cout.width(8); |
| 407 |
+ |
cout.precision(8); |
| 408 |
+ |
|
| 409 |
+ |
|
| 410 |
+ |
cout << info->getTime() << "\t" |
| 411 |
+ |
<< chi << "\t" |
| 412 |
+ |
<< eta << "\t" |
| 413 |
+ |
<< U << "\t" |
| 414 |
+ |
<< TS << "\t" |
| 415 |
+ |
<< PV << "\t" |
| 416 |
+ |
<< extra << "\t" |
| 417 |
+ |
<< U+TS+PV+extra << endl; |
| 418 |
+ |
|
| 419 |
+ |
conservedQuantity = U+TS+PV+extra; |
| 420 |
+ |
return conservedQuantity; |
| 421 |
+ |
} |