Efficient characterisation of large deviations using population dynamics

Tobias Brewer, Stephen R. Clark, Russell Bradford, Robert L. Jack

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Abstract

We consider population dynamics as implemented by the cloning algorithm for analysis of large deviations of time-averaged quantities. Using the simple symmetric exclusion process as a prototypical example, we 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.
Original languageEnglish
Article number053204
Number of pages30
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2018
Issue number5
Early online date8 May 2018
DOIs
Publication statusPublished - May 2018

Bibliographical note

23 pages, final version

Keywords

  • cond-mat.stat-mech

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