Efficient characterisation of large deviations using population dynamics
Statistical Mechanics
2018-05-11 v3
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.
Cite
@article{arxiv.1711.05095,
title = {Efficient characterisation of large deviations using population dynamics},
author = {Tobias Brewer and Stephen R. Clark and Russell Bradford and Robert L. Jack},
journal= {arXiv preprint arXiv:1711.05095},
year = {2018}
}
Comments
23 pages, final version