Abstract
We consider population dynamics as implemented by the cloning algorithm for analysis of large deviations of timeaveraged 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 language  English 

Article number  053204 
Pages (fromto)  129 
Number of pages  30 
Journal  Journal of Statistical MechanicsTheory and Experiment 
DOIs  
Publication status  Published  8 May 2018 
Keywords
 driven diffusive systems
 exclusion processes
 large deviations in nonequilibrium systems
ASJC Scopus subject areas
 Statistical and Nonlinear Physics
 Statistics and Probability
 Statistics, Probability and Uncertainty
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Russell Bradford
 Department of Computer Science  Senior Lecturer
 Mathematical Foundations of Computation
Person: Research & Teaching
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Data for 'Efficient characterisation of large deviations using population dynamics'
Brewer, T. (Creator), Jack, R. (Creator), Clark, S. (Supervisor) & Bradford, R. (Supervisor), University of Bath, 8 May 2018
DOI: 10.15125/BATH00457
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