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Direct evaluation of large-deviation functions

Cristian Giardina'·Jorge Kurchan·Luca Peliti
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Abstract

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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Cristian Giardina', Jorge Kurchan, Luca Peliti. 2006-03-03. Direct evaluation of large-deviation functions. https://doi.org/10.1103/physrevlett.96.120603

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