Direct evaluation of large-deviation functions
Statistical Mechanics
2009-11-11 v2 Other Condensed Matter
Dynamical Systems
Chaotic Dynamics
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.
Cite
@article{arxiv.cond-mat/0511248,
title = {Direct evaluation of large-deviation functions},
author = {Cristian Giardina' and Jorge Kurchan and Luca Peliti},
journal= {arXiv preprint arXiv:cond-mat/0511248},
year = {2009}
}
Comments
Updated version, extensively revised. One new figure