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Methods for calculating forces within quantum Monte Carlo simulations

A Badinski1, P D Haynes1,2, J R Trail1,3 and R J Needs1

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Atomic force calculations within the variational and diffusion quantum Monte Carlo methods are described. The advantages of calculating diffusion quantum Monte Carlo forces with the 'pure' rather than the 'mixed' probability distribution are discussed. An accurate and practical method for calculating forces using the pure distribution is presented and tested for the SiH molecule. The statistics of force estimators are explored and violations of the central limit theorem are found in some cases.


PACS

05.10.Ln Monte Carlo methods

02.70.Uu Applications of Monte Carlo methods

02.70.Ss Quantum Monte Carlo methods

02.50.Cw Probability theory

31.15.-p Calculations and mathematical techniques in atomic and molecular physics

31.15.xt Variational techniques

Subjects

Atomic and molecular physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 7 (24 February 2010)

Received 22 May 2009, in final form 16 July 2009

Published 3 February 2010



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