Full counting statistics and fluctuation-dissipation relation for periodically driven two-state systems
Statistical Mechanics
2020-11-26 v2 Mesoscale and Nanoscale Physics
Abstract
We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in closed compact forms so as to treat the adiabatic and nonadiabatic contributions systematically. We derive the fluctuation theorem by taking into account the time reversal symmetry and the property that the instantaneous currents flowing into the left and the right reservoir are not equal. It is found that the fluctuation-dissipation relation derived from the fluctuation theorem involves an expansion with respect to the time derivative of the affinity.
Cite
@article{arxiv.2003.11935,
title = {Full counting statistics and fluctuation-dissipation relation for periodically driven two-state systems},
author = {Kazutaka Takahashi and Yuki Hino and Keisuke Fujii and Hisao Hayakawa},
journal= {arXiv preprint arXiv:2003.11935},
year = {2020}
}
Comments
22 pages, 7 figures, revised for publication