Improving the convergence of closed and open path integral molecular dynamics via higher order Trotter factorization schemes.

作者: Alejandro Pérez , Mark E. Tuckerman

DOI: 10.1063/1.3609120

关键词:

摘要: Higher order factorization schemes are developed for path integral molecular dynamics in to improve the convergence of estimators physical observables as a function Trotter number. The methods based on Takahashi-Imada and Susuki decompositions Boltzmann operator. introduced averages by using classical forces needed carry out construct posteriori weighting factors standard dynamics. new approaches straightforward implement existing codes no significant overhead. Suzuki higher was also used end-to-end distance estimator open tested various model systems, including an ab initio calculation hydrogen molecule quantum water model. proposed algorithms have potential utility reducing cost calculations bulk systems.

参考文章(78)
Charusita Chakravarty, Darı́o A. Estrin, Ruben O. Weht, Jorge Kohanoff, An ab initio path integral Monte Carlo simulation method for molecules and clusters: Application to Li4 and Li5+ Journal of Chemical Physics. ,vol. 108, pp. 8848- 8858 ,(1998) , 10.1063/1.476331
Albert Roach Hibbs, Richard Phillips Feynman, Quantum Mechanics and Path Integrals ,(1965)
Dominik Marx, Mark E. Tuckerman, Jürg Hutter, Michele Parrinello, The nature of the hydrated excess proton in water Nature. ,vol. 397, pp. 601- 604 ,(1999) , 10.1038/17579
E. L. Pollock, D. M. Ceperley, Simulation of quantum many-body systems by path-integral methods Physical Review B. ,vol. 30, pp. 2555- 2568 ,(1984) , 10.1103/PHYSREVB.30.2555
D. M. Ceperley, E. L. Pollock, Path-integral computation of the low-temperature properties of liquid 4He. Physical Review Letters. ,vol. 56, pp. 351- 354 ,(1986) , 10.1103/PHYSREVLETT.56.351
Thomas F. Miller, David E. Manolopoulos, Quantum diffusion in liquid water from ring polymer molecular dynamics Journal of Chemical Physics. ,vol. 123, pp. 154504- ,(2005) , 10.1063/1.2074967
Varadharajan Srinivasan, Daniel Sebastiani, The Isotope-Effect in the Phase Transition of KH(2)PO(4): New Insights from Ab Initio Path-Integral Simulations Journal of Physical Chemistry C. ,vol. 115, pp. 12631- 12635 ,(2011) , 10.1021/JP202584P
Kimichi Suzuki, Masanori Tachikawa, Motoyuki Shiga, Efficient ab initio path integral hybrid Monte Carlo based on the fourth-order Trotter expansion: Application to fluoride ion-water cluster. Journal of Chemical Physics. ,vol. 132, pp. 144108- 144108 ,(2010) , 10.1063/1.3367724