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arxiv: cond-mat/0511248 · v2 · submitted 2005-11-10 · ❄️ cond-mat.stat-mech · cond-mat.other· math.DS· nlin.CD

Direct evaluation of large-deviation functions

classification ❄️ cond-mat.stat-mech cond-mat.othermath.DSnlin.CD
keywords currentfunctionslarge-deviationasymmetricdensitydeviationsdirectdirectly
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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.

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