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Exact fluctuations of nonequilibrium steady states from approximate auxiliary dynamics

Ray, Ushnish and Chan, Garnet Kin-Lic and Limmer, David T. (2018) Exact fluctuations of nonequilibrium steady states from approximate auxiliary dynamics. Physical Review Letters, 120 (21). Art. No. 210602. ISSN 0031-9007. doi:10.1103/PhysRevLett.120.210602.

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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. We illustrate the method by studying driven diffusion and interacting lattice models in one and two spatial dimensions. Our work offers an avenue to calculate large deviation functions for high dimensional systems driven far from equilibrium.

Item Type:Article
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URLURL TypeDescription Paper
Ray, Ushnish0000-0002-1850-4691
Chan, Garnet Kin-Lic0000-0001-8009-6038
Limmer, David T.0000-0002-2766-0688
Additional Information:© 2018 American Physical Society. Received 27 September 2017; revised manuscript received 21 March 2018; published 22 May 2018. The authors would like to thank Rob Jack, Vivien Lecomte, Juan P. Garrahan and David Ceperley for fruitful and engaging discussions. D. T. L was supported by UC Berkeley College of Chemistry. U. R. was supported by the Simons Collaboration on the Many-Electron Problem and the California Institute of Technology. G. K.-L. C. is a Simons Investigator in Theoretical Physics and was supported by the California Institute of Technology and the U.S. Department of Energy, Office of Science via DE-SC0018140.
Funding AgencyGrant Number
University of California, BerkeleyUNSPECIFIED
Simons FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0018140
Issue or Number:21
Record Number:CaltechAUTHORS:20170929-155818808
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81927
Deposited By: Donna Wrublewski
Deposited On:30 Sep 2017 01:58
Last Modified:15 Nov 2021 19:47

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