Efficient characterisation of large deviations using population dynamics
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Authors
Brewer, T
Clark, SR
Bradford, R
Jack, RL
Publication Date
2018Journal Title
Journal of Statistical Mechanics: Theory and Experiment
ISSN
1742-5468
Publisher
IOP Publishing
Volume
2018
Issue
5
Type
Article
Metadata
Show full item recordCitation
Brewer, T., Clark, S., Bradford, R., & Jack, R. (2018). Efficient characterisation of large deviations using population dynamics. Journal of Statistical Mechanics: Theory and Experiment, 2018 (5) https://doi.org/10.1088/1742-5468/aab3ef
Abstract
We consider population dynamics as implemented by the cloning algorithm for analysis of large deviations of time-averaged quantities. We use the simple symmetric exclusion process with periodic boundary conditions as a prototypical example and investigate the convergence of the results with respect to the algorithmic parameters, focussing on the dynamical phase transition between homogeneous and inhomogeneous states, where convergence is relatively difficult to achieve. We discuss how the performance of the algorithm can be optimised, and how it can be efficiently exploited on parallel computing platforms.
Keywords
large deviations in non-equilibrium systems, driven diffusive systems, exclusion processes
Identifiers
External DOI: https://doi.org/10.1088/1742-5468/aab3ef
This record's URL: https://www.repository.cam.ac.uk/handle/1810/283334
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http://www.rioxx.net/licenses/all-rights-reserved
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