Efficient characterisation of large deviations using population dynamics
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Brewer, T
Clark, SR
Bradford, R
Jack, RL
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.
Description
Keywords
large deviations in non-equilibrium systems, driven diffusive systems, exclusion processes
Journal Title
Journal of Statistical Mechanics: Theory and Experiment
Conference Name
Journal ISSN
1742-5468
1742-5468
1742-5468
Volume Title
2018
Publisher
IOP Publishing