Exact fluctuations of nonequilibrium steady states from approximate auxiliary dynamics
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.
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.Attached Files
Published - PhysRevLett.120.210602.pdf
Submitted - 1708.09482.pdf
Supplemental Material - prlstyle_supp.pdf
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Additional details
- Eprint ID
- 81927
- Resolver ID
- CaltechAUTHORS:20170929-155818808
- University of California, Berkeley
- Simons Foundation
- Caltech
- DE-SC0018140
- Department of Energy (DOE)
- Created
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2017-09-30Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field