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.
|Number of pages||30|
|Journal||Journal of Statistical Mechanics: Theory and Experiment|
|Early online date||8 May 2018|
|Publication status||Published - May 2018|
Bibliographical note23 pages, final version
Brewer, T., Clark, S. R., Bradford, R., & Jack, R. L. (2018). Efficient characterisation of large deviations using population dynamics. Journal of Statistical Mechanics: Theory and Experiment, 2018(5), . https://doi.org/10.1088/1742-5468/aab3ef