A numerical approach to large deviations in continuous-time

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dc.creatorLecomte, Vivien
dc.creatorTailleur, Julien
dc.date2006-12-21
dc.date2007-01-16
dc.date.accessioned2026-07-07T08:46:33Z
dc.date.available2026-07-07T08:46:33Z
dc.descriptionWe present an algorithm to evaluate the large deviation functions associated to history-dependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide a direct continuous-time algorithm, valuable for systems with multiple time scales, thus extending the work of Giardinà, Kurchan and Peliti (PRL 96, 120603 (2006)). The procedure is supplemented with a thermodynamic-integration scheme, which improves its efficiency. We also show how the method can be used to probe large deviation functions in systems with a dynamical phase transition -- revealed in our context through the appearance of a non-analyticity in the large deviation functions.
dc.descriptionSubmitted to J. Stat. Mech
dc.identifierhttps://arxiv.org/abs/cond-mat/0612561
dc.identifierhttp://arxiv.org/abs/cond-mat/0612561
dc.identifierJ. Stat. Mech. (2007) P03004
dc.identifierdoi:10.1088/1742-5468/2007/03/P03004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143286
dc.subjectStatistical Mechanics
dc.titleA numerical approach to large deviations in continuous-time
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