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#include <cmath> |
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#include <math.h> |
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#include "Atom.hpp" |
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#include "SRI.hpp" |
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#include "AbstractClasses.hpp" |
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#include "Thermo.hpp" |
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#include "ReadWrite.hpp" |
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#include "Integrator.hpp" |
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#include "simError.h" |
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#include "simError.h" |
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|
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#ifdef IS_MPI |
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#include "mpiSimulation.hpp" |
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#endif |
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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: |
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// |
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// Melchionna, S., Ciccotti, G., and Holian, B. L., 1993, |
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// Molec. Phys., 78, 533. |
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// Molec. Phys., 78, 533. |
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// |
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// and |
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// |
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// |
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// Hoover, W. G., 1986, Phys. Rev. A, 34, 2499. |
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template<typename T> NPTi<T>::NPTi ( SimInfo *theInfo, ForceFields* the_ff): |
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T( theInfo, the_ff ) |
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{ |
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chi = 0.0; |
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GenericData* data; |
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DoubleArrayData * etaValue; |
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vector<double> etaArray; |
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|
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eta = 0.0; |
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integralOfChidt = 0.0; |
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have_tau_thermostat = 0; |
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have_tau_barostat = 0; |
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have_target_temp = 0; |
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have_target_pressure = 0; |
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have_chi_tolerance = 0; |
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have_eta_tolerance = 0; |
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have_pos_iter_tolerance = 0; |
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oldEta = 0.0; |
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|
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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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// retrieve eta from simInfo if |
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data = info->getProperty(ETAVALUE_ID); |
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if(data){ |
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etaValue = dynamic_cast<DoubleArrayData*>(data); |
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|
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if(etaValue){ |
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etaArray = etaValue->getData(); |
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eta = etaArray[0]; |
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oldEta = eta; |
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} |
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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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//nothing for now |
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} |
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|
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template<typename T> void NPTi<T>::moveA() { |
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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 angle, mass; |
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double vel[3], pos[3], frc[3]; |
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template<typename T> void NPTi<T>::resetIntegrator() { |
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eta = 0.0; |
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T::resetIntegrator(); |
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} |
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|
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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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template<typename T> void NPTi<T>::evolveEtaA() { |
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eta += dt2 * ( instaVol * (instaPress - targetPressure) / |
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(p_convert*NkBT*tb2)); |
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oldEta = eta; |
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} |
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|
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tt2 = tauThermostat * tauThermostat; |
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tb2 = tauBarostat * tauBarostat; |
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template<typename T> void NPTi<T>::evolveEtaB() { |
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|
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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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|
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tStats->getCOM(COM); |
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|
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//evolve velocity half step |
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for( i=0; i<nAtoms; i++ ){ |
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prevEta = eta; |
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eta = oldEta + dt2 * ( instaVol * (instaPress - targetPressure) / |
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(p_convert*NkBT*tb2)); |
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} |
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|
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atoms[i]->getVel( vel ); |
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atoms[i]->getFrc( frc ); |
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template<typename T> void NPTi<T>::getVelScaleA(double sc[3], double vel[3]) { |
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int i; |
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|
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mass = atoms[i]->getMass(); |
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for(i=0; i<3; i++) sc[i] = vel[i] * ( chi + eta ); |
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} |
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|
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for (j=0; j < 3; j++) { |
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// velocity half step (use chi from previous step here): |
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vel[j] += dt2 * ((frc[j] / mass ) * eConvert - vel[j]*(chi + eta)); |
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|
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} |
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template<typename T> void NPTi<T>::getVelScaleB(double sc[3], int index ){ |
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int i; |
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|
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atoms[i]->setVel( vel ); |
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|
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if( atoms[i]->isDirectional() ){ |
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for(i=0; i<3; i++) sc[i] = oldVel[index*3 + i] * ( chi + eta ); |
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} |
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|
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dAtom = (DirectionalAtom *)atoms[i]; |
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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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dAtom->lab2Body( Tb ); |
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|
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// get the angular momentum, and propagate a half step |
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template<typename T> void NPTi<T>::getPosScale(double pos[3], double COM[3], |
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int index, double sc[3]){ |
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int j; |
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|
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dAtom->getJ( ji ); |
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for(j=0; j<3; j++) |
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sc[j] = ( oldPos[index*3+j] + pos[j]) / 2.0 - COM[j]; |
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|
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for (j=0; j < 3; j++) |
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ji[j] += dt2 * (Tb[j] * eConvert - ji[j]*chi); |
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|
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// use the angular velocities to propagate the rotation matrix a |
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// full time step |
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for(j=0; j<3; j++) |
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sc[j] *= eta; |
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> |
} |
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|
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< |
dAtom->getA(A); |
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dAtom->getI(I); |
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|
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// rotate about the x-axis |
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angle = dt2 * ji[0] / I[0][0]; |
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this->rotate( 1, 2, angle, ji, A ); |
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> |
template<typename T> void NPTi<T>::scaleSimBox( void ){ |
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|
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// rotate about the y-axis |
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angle = dt2 * ji[1] / I[1][1]; |
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this->rotate( 2, 0, angle, ji, A ); |
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|
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// rotate about the z-axis |
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angle = dt * ji[2] / I[2][2]; |
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this->rotate( 0, 1, angle, ji, A); |
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|
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// rotate about the y-axis |
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angle = dt2 * ji[1] / I[1][1]; |
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this->rotate( 2, 0, angle, ji, A ); |
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|
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// rotate about the x-axis |
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angle = dt2 * ji[0] / I[0][0]; |
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this->rotate( 1, 2, angle, ji, A ); |
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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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double scaleFactor; |
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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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|
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if ((scaleFactor > 1.1) || (scaleFactor < 0.9)) { |
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); |
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painCave.isFatal = 1; |
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simError(); |
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< |
} else { |
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< |
info->scaleBox(scaleFactor); |
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< |
} |
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> |
} else { |
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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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//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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> |
template<typename T> bool NPTi<T>::etaConverged() { |
| 117 |
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|
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< |
double instTemp, instPress, instVol; |
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< |
double tt2, tb2; |
| 211 |
< |
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; |
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> |
return ( fabs(prevEta - eta) <= etaTolerance ); |
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> |
} |
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|
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+ |
template<typename T> double NPTi<T>::getConservedQuantity(void){ |
| 122 |
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|
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< |
// Set things up for the iteration: |
| 123 |
> |
double conservedQuantity; |
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> |
double Energy; |
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> |
double thermostat_kinetic; |
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> |
double thermostat_potential; |
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> |
double barostat_kinetic; |
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> |
double barostat_potential; |
| 129 |
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|
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< |
oldChi = chi; |
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< |
oldEta = eta; |
| 222 |
< |
|
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< |
for( i=0; i<nAtoms; i++ ){ |
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> |
Energy = tStats->getTotalE(); |
| 131 |
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|
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< |
atoms[i]->getVel( vel ); |
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> |
thermostat_kinetic = fkBT* tt2 * chi * chi / |
| 133 |
> |
(2.0 * eConvert); |
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|
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< |
for (j=0; j < 3; j++) |
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< |
oldVel[3*i + j] = vel[j]; |
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> |
thermostat_potential = fkBT* integralOfChidt / eConvert; |
| 136 |
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|
| 230 |
– |
if( atoms[i]->isDirectional() ){ |
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|
| 138 |
< |
dAtom = (DirectionalAtom *)atoms[i]; |
| 138 |
> |
barostat_kinetic = 3.0 * NkBT * tb2 * eta * eta / |
| 139 |
> |
(2.0 * eConvert); |
| 140 |
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|
| 141 |
< |
dAtom->getJ( ji ); |
| 141 |
> |
barostat_potential = (targetPressure * tStats->getVolume() / p_convert) / |
| 142 |
> |
eConvert; |
| 143 |
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|
| 144 |
< |
for (j=0; j < 3; j++) |
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< |
oldJi[3*i + j] = ji[j]; |
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> |
conservedQuantity = Energy + thermostat_kinetic + thermostat_potential + |
| 145 |
> |
barostat_kinetic + barostat_potential; |
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|
| 147 |
< |
} |
| 148 |
< |
} |
| 147 |
> |
// cout.width(8); |
| 148 |
> |
// cout.precision(8); |
| 149 |
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|
| 150 |
< |
// do the iteration: |
| 151 |
< |
|
| 152 |
< |
instVol = tStats->getVolume(); |
| 153 |
< |
|
| 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 |
< |
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 = (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 |
< |
|
| 150 |
> |
// cerr << info->getTime() << "\t" << Energy << "\t" << thermostat_kinetic << |
| 151 |
> |
// "\t" << thermostat_potential << "\t" << barostat_kinetic << |
| 152 |
> |
// "\t" << barostat_potential << "\t" << conservedQuantity << endl; |
| 153 |
> |
return conservedQuantity; |
| 154 |
|
} |
| 155 |
|
|
| 156 |
< |
template<typename T> void NPTi<T>::resetIntegrator() { |
| 157 |
< |
chi = 0.0; |
| 158 |
< |
eta = 0.0; |
| 159 |
< |
} |
| 156 |
> |
template<typename T> string NPTi<T>::getAdditionalParameters(void){ |
| 157 |
> |
string parameters; |
| 158 |
> |
const int BUFFERSIZE = 2000; // size of the read buffer |
| 159 |
> |
char buffer[BUFFERSIZE]; |
| 160 |
|
|
| 161 |
< |
template<typename T> int NPTi<T>::readyCheck() { |
| 161 |
> |
sprintf(buffer,"\t%G\t%G;", chi, integralOfChidt); |
| 162 |
> |
parameters += buffer; |
| 163 |
|
|
| 164 |
< |
//check parent's readyCheck() first |
| 165 |
< |
if (T::readyCheck() == -1) |
| 310 |
< |
return -1; |
| 311 |
< |
|
| 312 |
< |
// First check to see if we have a target temperature. |
| 313 |
< |
// Not having one is fatal. |
| 314 |
< |
|
| 315 |
< |
if (!have_target_temp) { |
| 316 |
< |
sprintf( painCave.errMsg, |
| 317 |
< |
"NPTi error: You can't use the NPTi integrator\n" |
| 318 |
< |
" without a targetTemp!\n" |
| 319 |
< |
); |
| 320 |
< |
painCave.isFatal = 1; |
| 321 |
< |
simError(); |
| 322 |
< |
return -1; |
| 323 |
< |
} |
| 164 |
> |
sprintf(buffer,"\t%G\t0\t0;", eta); |
| 165 |
> |
parameters += buffer; |
| 166 |
|
|
| 167 |
< |
if (!have_target_pressure) { |
| 168 |
< |
sprintf( painCave.errMsg, |
| 327 |
< |
"NPTi error: You can't use the NPTi integrator\n" |
| 328 |
< |
" without a targetPressure!\n" |
| 329 |
< |
); |
| 330 |
< |
painCave.isFatal = 1; |
| 331 |
< |
simError(); |
| 332 |
< |
return -1; |
| 333 |
< |
} |
| 334 |
< |
|
| 335 |
< |
// We must set tauThermostat. |
| 336 |
< |
|
| 337 |
< |
if (!have_tau_thermostat) { |
| 338 |
< |
sprintf( painCave.errMsg, |
| 339 |
< |
"NPTi error: If you use the NPTi\n" |
| 340 |
< |
" integrator, you must set tauThermostat.\n"); |
| 341 |
< |
painCave.isFatal = 1; |
| 342 |
< |
simError(); |
| 343 |
< |
return -1; |
| 344 |
< |
} |
| 167 |
> |
sprintf(buffer,"\t0\t%G\t0;", eta); |
| 168 |
> |
parameters += buffer; |
| 169 |
|
|
| 170 |
< |
// We must set tauBarostat. |
| 171 |
< |
|
| 348 |
< |
if (!have_tau_barostat) { |
| 349 |
< |
sprintf( painCave.errMsg, |
| 350 |
< |
"NPTi error: If you use the NPTi\n" |
| 351 |
< |
" integrator, you must set tauBarostat.\n"); |
| 352 |
< |
painCave.isFatal = 1; |
| 353 |
< |
simError(); |
| 354 |
< |
return -1; |
| 355 |
< |
} |
| 170 |
> |
sprintf(buffer,"\t0\t0\t%G;", eta); |
| 171 |
> |
parameters += buffer; |
| 172 |
|
|
| 173 |
< |
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 |
< |
} |
| 173 |
> |
return parameters; |
| 174 |
|
|
| 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)Nparticles * kB * targetTemp; |
| 377 |
– |
fkBT = (double)info->ndf * kB * targetTemp; |
| 378 |
– |
|
| 379 |
– |
return 1; |
| 175 |
|
} |
| 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 |
– |
} |