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Gao, Chloe Ya; Limmer, David T. (2017)
Publisher: MDPI AG
Journal: Entropy
Languages: English
Types: Article
Subjects: Physics - Chemical Physics, transport coefficients, diffusion Monte Carlo, Astrophysics, molecular dynamics, Condensed Matter - Soft Condensed Matter, QB460-466, Q, Science, Physics, Condensed Matter - Statistical Mechanics, large deviation function, QC1-999
Identifiers:doi:10.3390/e19110571
We describe a method for computing transport coefficients from the direct evaluation of large deviation functions. This method is general, relying on only equilibrium fluctuations, and is statistically efficient, employing trajectory based importance sampling. Equilibrium fluctuations of molecular currents are characterized by their large deviation functions, which are scaled cumulant generating functions analogous to the free energies. A diffusion Monte Carlo algorithm is used to evaluate the large deviation functions, from which arbitrary transport coefficients are derivable. We find significant statistical improvement over traditional Green–Kubo based calculations. The systematic and statistical errors of this method are analyzed in the context of specific transport coefficient calculations, including the shear viscosity, interfacial friction coefficient, and thermal conductivity.
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