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Title: Multi-point nonequilibrium umbrella sampling and associated fluctuation relations

Journal Article · · Journal of Statistical Mechanics
 [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

We describe a simple method of umbrella trajectory sampling for Markov chains. The method allows the estimation of large-deviation rate functions, for path-extensive dynamic observables, for an arbitrary number of models within a certain family. The general relationship between probability distributions of dynamic observables of members of this family is an extended fluctuation relation. When the dynamic observable is chosen to be entropy production, members of this family include the forward Markov chain and its time reverse, whose probability distributions are related by the expected simple fluctuation relation.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1601181
Alternate ID(s):
OSTI ID: 23006394
Journal Information:
Journal of Statistical Mechanics, Journal Name: Journal of Statistical Mechanics Journal Issue: 6 Vol. 2018; ISSN 1742-5468
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

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Direct evaluation of dynamical large-deviation rate functions using a variational ansatz journal November 2019

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