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arXiv · 1310.4070

Full counting statistics of random transition-rate matrices

Uliana Mordovina·Clive Emary
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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.

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Uliana Mordovina, Clive Emary. 2013-10-15. Full counting statistics of random transition-rate matrices. https://doi.org/10.1103/physreve.88.062148

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