Direct evaluation of large-deviation functions

Details Direct evaluation of large-deviation functions Direct evaluation of large-deviation functions

2005-11-10

arxiv.org/abs/cond-mat/0511248v2

Physics

Condensed Matter

Statistical Mechanics

Updated version, extensively revised. One new figure

Scientific paper

10.1103/PhysRevLett.96.120603

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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