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.
|Number of pages||30|
|Journal||Journal of Statistical Mechanics-Theory and Experiment|
|Publication status||Published - 8 May 2018|
- 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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Brewer, T. (Creator), Jack, R. (Creator), Clark, S. (Supervisor) & Bradford, R. (Supervisor), University of Bath, 8 May 2018