Exact computation of current cumulants in small Markovian systems

Details Exact computation of current cumulants in small Markovian systems Exact computation of current cumulants in small Markovian systems

2008-11-04

arxiv.org/abs/0811.0469v1

MODELING AND SIMULATION OF NEW MATERIALS: Proceedings of Modeling and Simulation of New Materials: Tenth Granada Lectures, AIP

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure, submitted to AIP Proceedings of Granada Seminar 2008

Scientific paper

10.1063/1.3082286

We describe an algorithm computing the exact value of the mean current, its variance, and higher order cumulants for stochastic driven systems. The method uses a Rayleigh-Schrodinger perturbation expansion of the generating function of the current, and can be extended to compute covariances of multiple currents. As an example of application of the method, we give numerical evidence for a simple relation [Eq.(5)] between the second and the fourth cumulants of the current in a symmetric exclusion process.

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