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Phys. Rev. Lett. 96, 120603 (2006) [4 pages]

Direct Evaluation of Large-Deviation Functions

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Cristian Giardinà1, Jorge Kurchan2, and Luca Peliti3,*
1Eurandom, Post Office Box 513 - 5600 MB Eindhoven, The Netherlands
2PMMH-ESPCI, CNRS UMR 7636, 10 rue Vauquelin, 75005 Paris, France
3Dipartimento di Scienze Fisiche and Unità CNISM, Università “Federico II”, 80126 Napoli, Italy

Received 21 November 2005; published 31 March 2006

We introduce a numerical procedure to evaluate directly the probabilities of large deviations of physical quantities, such as current or density, that are local in time. The large-deviation functions are given in terms of the typical properties of a modified dynamics, and since they no longer involve rare events, can be evaluated efficiently and over a wider ranges of values. We illustrate the method with the current fluctuations of the Totally Asymmetric Exclusion Process and with the work distribution of a driven Lorentz gas.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.120603
DOI:
10.1103/PhysRevLett.96.120603
PACS:
05.40.−a, 05.70.Ln

*Also at Associato INFN, Sezione di Napoli, Italy.