A numerical approach to large deviations in continuous-time

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
Submitted to J. Stat. Mech

Keywords

Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/143286

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0612561
 http://arxiv.org/abs/cond-mat/0612561
 J. Stat. Mech. (2007) P03004
 doi:10.1088/1742-5468/2007/03/P03004

Collections

arXiv