Full counting statistics of random transition-rate matrices
Statistical Mechanics
2014-01-31 v1 Mesoscale and Nanoscale Physics
Abstract
We study the full counting statistics of current of large open systems through the application of random matrix theory to transition-rate matrices. We develop a method for calculating the ensemble-averaged current-cumulant generating functions based on an expansion in terms of the inverse system size. We investigate how different symmetry properties and different counting schemes affect the results.
Cite
@article{arxiv.1310.4070,
title = {Full counting statistics of random transition-rate matrices},
author = {Uliana Mordovina and Clive Emary},
journal= {arXiv preprint arXiv:1310.4070},
year = {2014}
}