Full Counting Statistics and Fluctuation–Dissipation Relation for Periodically Driven Two-State Systems

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 nonadiab...

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Bibliographic Details
Published inJournal of statistical physics Vol. 181; no. 6; pp. 2206 - 2224
Main Authors Takahashi, Kazutaka, Hino, Yuki, Fujii, Keisuke, Hayakawa, Hisao
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2020
Springer
Subjects
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Reservoirs
Statistical Physics and Dynamical Systems
Statistics
Theoretical
Fluctuation theorem
Master equation
Thouless pumping
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Summary: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-020-02661-6