Exact Fluctuations of Nonequilibrium Steady States from Approximate Auxiliary Dynamics

Ray, Ushnish; Chan, Garnet Kin-Lic; Limmer, David T.

doi:10.1103/PhysRevLett.120.210602

Title: Exact Fluctuations of Nonequilibrium Steady States from Approximate Auxiliary Dynamics

Journal Article · 22 May 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.120.210602 · OSTI ID:1461153

Ray, Ushnish ^[1]; Chan, Garnet Kin-Lic ^[1]; Limmer, David T. ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Division of Chemistry and Chemical Engineering
Univ. of California, Berkeley, CA (United States). Dept. of Chemistry; Kavli Energy NanoScience Inst., Berkeley CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Science Division

We describe a framework to reduce the computational effort to evaluate large deviation functions of time integrated observables within nonequilibrium steady states. We do this by incorporating an auxiliary dynamics into trajectory based Monte Carlo calculations, through a transformation of the system's propagator using an approximate guiding function. This procedure importance samples the trajectories that most contribute to the large deviation function, mitigating the exponential complexity of such calculations. Here, we illustrate the method by studying driven diffusion and interacting lattice models in one and two spatial dimensions. Finally, our work offers an avenue to calculate large deviation functions for high dimensional systems driven far from equilibrium.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; SC0018140

OSTI ID:: 1461153

Alternate ID(s):: OSTI ID: 1438273

Journal Information:: Physical Review Letters, Vol. 120, Issue 21; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 46 works

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