The Library
A framework for the direct evaluation of large deviations in non-Markovian processes
Tools
Cavallaro, Massimo and Harris, Rosemary J. (2016) A framework for the direct evaluation of large deviations in non-Markovian processes. Journal of Physics A: Mathematical and Theoretical, 49 (47). 47LT02. doi:10.1088/1751-8113/49/47/47LT02 ISSN 1751-8113.
|
PDF
WRAP-framework-direct-evaluation-large deviations-non-Markovian-processes-Cavallaro-2016.pdf - Accepted Version - Requires a PDF viewer. Download (1097Kb) | Preview |
Official URL: http://dx.doi.org/10.1088/1751-8113/49/47/47LT02
Abstract
We propose a general framework to simulate stochastic trajectories with arbitrarily long memory dependence and efficiently evaluate large deviation functions associated to time-extensive observables. This extends the 'cloning' procedure of Giardiná et al (2006 Phys. Rev. Lett. 96 120603) to non-Markovian systems. We demonstrate the validity of this method by testing non-Markovian variants of an ion-channel model and the totally asymmetric exclusion process, recovering results obtainable by other means.
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) | ||||||
Library of Congress Subject Headings (LCSH): | Large deviations, Markov processes | ||||||
Journal or Publication Title: | Journal of Physics A: Mathematical and Theoretical | ||||||
Publisher: | IOP Publishing Ltd | ||||||
ISSN: | 1751-8113 | ||||||
Official Date: | 4 November 2016 | ||||||
Dates: |
|
||||||
Volume: | 49 | ||||||
Number: | 47 | ||||||
Article Number: | 47LT02 | ||||||
DOI: | 10.1088/1751-8113/49/47/47LT02 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 24 July 2017 | ||||||
Date of first compliant Open Access: | 4 November 2017 |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year