Simulation of quantum zero-point effects in water using a frequency-dependent thermostat

Sriram Ganeshan, R. Ramírez, and M. V. Fernández-Serra
Phys. Rev. B 87, 134207 – Published 29 April 2013

Abstract

Molecules like water have vibrational modes with a zero-point energy well above room temperature. As a consequence, classical molecular dynamics simulations of their liquids largely underestimate the energy of modes with a higher zero-point temperature, which translates into an underestimation of covalent interatomic distances due to anharmonic effects. Zero-point effects can be recovered using path integral molecular dynamics simulations, but these are computationally expensive, making their combination with ab initio molecular dynamics simulations a challenge. As an alternative to path integral methods, from a computationally simple perspective, one would envision the design of a thermostat capable of equilibrating and maintaining the different vibrational modes at their corresponding zero-point temperatures. Recently, Ceriotti et al. [Phys. Rev. Lett. 102, 020601 (2009)] introduced a framework to use a custom-tailored Langevin equation with correlated noise that can be used to include quantum fluctuations in classical molecular dynamics simulations. Here we show that it is possible to use the generalized Langevin equation with suppressed noise in combination with Nose-Hoover thermostats to efficiently impose a zero-point temperature on independent modes in liquid water. Using our simple and inexpensive method, we achieve excellent agreement for all atomic pair correlation functions compared to the path integral molecular dynamics simulation.

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  • Received 8 October 2012

DOI:https://doi.org/10.1103/PhysRevB.87.134207

©2013 American Physical Society

Authors & Affiliations

Sriram Ganeshan1, R. Ramírez2, and M. V. Fernández-Serra1,*

  • 1Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA
  • 2Instituto de Ciencia de Materiales de Madrid (ICMM), Consejo Superior de Investigaciones Científicas (CSIC), Campus de Cantoblanco, 28049 Madrid, Spain

  • *maria.fernandez-serra@stonybrook.edu

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Vol. 87, Iss. 13 — 1 April 2013

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