A framework for the direct evaluation of large deviations in non-Markovian processes
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.
Cite
@article{arxiv.1603.05634,
title = {A framework for the direct evaluation of large deviations in non-Markovian processes},
author = {Massimo Cavallaro and Rosemary J. Harris},
journal= {arXiv preprint arXiv:1603.05634},
year = {2026}
}
Comments
15 pages, 3 figures, supplemental material. v5, typo and transcription errors from the journal version corrected; further commentary on these changes (which do not alter the main scientific results) can be found in the official Corrigendum [DOI: 10.1088/1751-8121/ae35ed]