Full-counting statistics of random transition-rate matrices.
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.
Institut für Theoretische Physik, Hardenbergstrasse 36, TU Berlin, D-10623 Berlin, Germany.
Uliana
U
Mordovina
Department of Physics and Mathematics, University of Hull, Kingston-upon-Hull, HU6 7RX, United Kingdom.
Clive
C
Emary