Efficient characterisation of large deviations using population dynamics

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

Research output: Contribution to journalArticlepeer-review

18 Citations (SciVal)

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.

Original languageEnglish
Article number053204
Pages (from-to)1-29
Number of pages30
JournalJournal of Statistical Mechanics-Theory and Experiment
DOIs
Publication statusPublished - 8 May 2018

Keywords

  • driven diffusive systems
  • exclusion processes
  • large deviations in non-equilibrium systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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