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Efficient stochastic thermostatting of path integral molecular dynamics

2010/09/06 by Michele Ceriotti, Michele Parrinello, Thomas E. Markland +1 · 2 citations
Physics and Astronomy · #cond-mat.stat-mech #physics.comp-ph

paper · pdf · doi:10.1063/1.3489925

published as J. Chem. Phys 133, 124104 (2010) · Accepted for publication on JCP

arxiv created 2010/09/06 · arxiv updated 2010/09/29

Abstract

The path integral molecular dynamics (PIMD) method provides a convenient way to compute the quantum mechanical structural and thermodynamic properties of condensed phase systems at the expense of introducing an additional set of high-frequency normal modes on top of the physical vibrations of the system. Efficiently sampling such a wide range of frequencies provides a considerable thermostatting challenge. Here we introduce a simple stochastic path integral Langevin equation (PILE) thermostat which exploits an analytic knowledge of the free path integral normal mode frequencies. We also apply a recently-developed colored-noise thermostat based on a generalized Langevin equation (GLE), which automatically achieves a similar, frequency-optimized sampling. The sampling efficiencies of these thermostats are compared with that of the more conventional Nosé-Hoover chain (NHC) thermostat for a number of physically relevant properties of the liquid water and hydrogen-in-palladium systems. In nearly every case, the new PILE thermostat is found to perform just as well as the NHC thermostat while allowing for a computationally more efficient implementation. The GLE thermostat also proves to be very robust delivering a near-optimum sampling efficiency in all of the cases considered. We suspect that these simple stochastic thermostats will therefore find useful application in many future PIMD simulations.

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