Vivien Lecomte and Julien Tailleur J. Stat. Mech. (2007) P03004 doi:10.1088/1742-5468/2007/03/P03004
Vivien Lecomte1,2 and Julien Tailleur3
Show affiliationsWe present an algorithm to evaluate large deviation functions associated to history-dependent observables. Instead of relying on a time discretization procedure to approximate the dynamics, we provide a direct continuous-time algorithm valuable for systems with multiple timescales, thus extending the work of Giardinà, Kurchan and Peliti (2006 Phys. Rev. Lett. 96 120603).
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.
60J27 Markov chains with continuous parameter
82C26 Dynamic and nonequilibrium phase transitions (general)
Issue 03 (March 2007)
Received 9 January 2007, accepted for publication 5 February 2007
Published 2 March 2007
Vivien Lecomte and Julien Tailleur J. Stat. Mech. (2007) P03004
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