Marco Baiesi, Christian Maes, Karel Netočný
Published 2008-11-04Version 1
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.
Comments: 5 pages, 1 figure, submitted to AIP Proceedings of Granada Seminar 2008
Journal: MODELING AND SIMULATION OF NEW MATERIALS: Proceedings of Modeling and Simulation of New Materials: Tenth Granada Lectures, AIP Conference Proceedings Volume 1091, 220-224 (2009)
Stochastic thermodynamics for Ising chain and symmetric exclusion process
Computation of current cumulants for small nonequilibrium systems
Joint distribution of currents in the symmetric exclusion process
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