High order path integrals made easy

作者: Venkat Kapil , Jörg Behler , Michele Ceriotti

DOI: 10.1063/1.4971438

关键词:

摘要: The precise description of quantum nuclear fluctuations in atomistic modelling is possible by employing path integral techniques, which involve a considerable computational overhead due to the need simulating multiple replicas system. Many approaches have been suggested reduce required number replicas. Among these, high-order factorizations Boltzmann operator are particularly attractive for high-precision and low-temperature scenarios. Unfortunately, date, several technical challenges prevented widespread use these study effects condensed-phase systems. Here we introduce an inexpensive molecular dynamics scheme that overcomes limitations, thus making it exploit improved convergence integrals without having sacrifice stability, convenience, flexibility conventional second-order techniques. capabilities method demonstrated simulations liquid water ice, as described neural-network potential fitted dispersion-corrected hybrid density functional theory calculations.

参考文章(63)
Igor Poltavsky, Alexandre Tkatchenko, Modeling quantum nuclei with perturbed path integral molecular dynamics Chemical Science. ,vol. 7, pp. 1368- 1372 ,(2016) , 10.1039/C5SC03443D
Miguel A. Morales, Jeffrey M. McMahon, Carlo Pierleoni, David M. Ceperley, Nuclear quantum effects and nonlocal exchange-correlation functionals applied to liquid hydrogen at high pressure. Physical Review Letters. ,vol. 110, pp. 065702- ,(2013) , 10.1103/PHYSREVLETT.110.065702
P. Debye, Zur Theorie der spezifischen Wärmen Annalen der Physik. ,vol. 344, pp. 789- 839 ,(1912) , 10.1002/ANDP.19123441404
Jörg Behler, Atom-centered symmetry functions for constructing high-dimensional neural network potentials Journal of Chemical Physics. ,vol. 134, pp. 074106- 074106 ,(2011) , 10.1063/1.3553717
J Behler, Representing potential energy surfaces by high-dimensional neural network potentials. Journal of Physics: Condensed Matter. ,vol. 26, pp. 183001- 183001 ,(2014) , 10.1088/0953-8984/26/18/183001
David Chandler, Peter G. Wolynes, Exploiting the isomorphism between quantum theory and classical statistical mechanics of polyatomic fluids Journal of Chemical Physics. ,vol. 74, pp. 4078- 4095 ,(1981) , 10.1063/1.441588
Bingqing Cheng, Michele Ceriotti, Direct path integral estimators for isotope fractionation ratios Journal of Chemical Physics. ,vol. 141, pp. 244112- ,(2014) , 10.1063/1.4904293
Alejandro Pérez, Mark E. Tuckerman, Improving the convergence of closed and open path integral molecular dynamics via higher order Trotter factorization schemes. Journal of Chemical Physics. ,vol. 135, pp. 064104- 064104 ,(2011) , 10.1063/1.3609120
Thomas E. Markland, David E. Manolopoulos, An efficient ring polymer contraction scheme for imaginary time path integral simulations. Journal of Chemical Physics. ,vol. 129, pp. 024105- 024105 ,(2008) , 10.1063/1.2953308