CaltechAUTHORS
  A Caltech Library Service

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. http://resolver.caltech.edu/CaltechAUTHORS:20170929-155818808

[img] PDF - Published Version
See Usage Policy.

305Kb
[img] PDF - Submitted Version
See Usage Policy.

507Kb
[img] PDF (contains expanded derivation of the tilted operator in the continuum. It also elaborates on the MF calculations needed to construct the auxiliary process, and how to systematically improve it via cluster formulations. Finally, it contains supplementary...) - Supplemental Material
See Usage Policy.

406Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20170929-155818808

Abstract

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
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.120.210602DOIArticle
http://arxiv.org/abs/1708.09482arXivDiscussion Paper
ORCID:
AuthorORCID
Chan, Garnet Kin-Lic0000-0001-8009-6038
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.
Funders:
Funding AgencyGrant Number
University of California, BerkeleyUNSPECIFIED
Simons FoundationUNSPECIFIED
CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0018140
Record Number:CaltechAUTHORS:20170929-155818808
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170929-155818808
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81927
Collection:CaltechAUTHORS
Deposited By: Donna Wrublewski
Deposited On:30 Sep 2017 01:58
Last Modified:23 May 2018 18:13

Repository Staff Only: item control page