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arXiv · 1603.05634

A framework for the direct evaluation of large deviations in non-Markovian processes

Massimo Cavallaro·Rosemary J. Harris
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Abstract

We propose a general framework to simulate stochastic trajectories with arbitrarily long memory dependence and efficiently evaluate large deviation functions associated to time-extensive observables. This extends the "cloning" procedure of Giardin\'a et al. [Phys. Rev. Lett. 96, 120603 (2006)] to non-Markovian systems. We demonstrate the validity of this method by testing non-Markovian variants of an ion-channel model and the Totally Asymmetric Exclusion Process, recovering results obtainable by other means.

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Massimo Cavallaro, Rosemary J. Harris. 2016-03-17. A framework for the direct evaluation of large deviations in non-Markovian processes. https://doi.org/10.1088/1751-8113%2F49%2F47%2F47lt02

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