Survival and extreme statistics of work, heat, and entropy production in steady-state heat engines
Institute for Cross-Disciplinary Physics and Complex Systems IFISC (UIB-CSIC)（跨学科物理与复杂系统研究所）；Institute for Quantum Optics and Quantum Information IQOQI, Austrian Academy of Sciences（奥地利科学院量子光学与量子信息研究所）；ICTP - The Abdus Salam International Centre for Theoretical Physics（阿卜杜斯·萨拉姆国际理论物理中心）
Gonzalo Manzano, Édgar Roldán
备注：
5+4 pages; 3+1 figures. v2: 6+4 pages, 3+2 figures (format changed, presentation improved, extra figure). Accepted in Phys. Rev. E
We derive universal bounds for the finite-time survival probability of the stochastic work extracted in steady-state heat engines and the stochastic heat dissipated to the environment. We also find estimates for the time-dependent thresholds that these quantities does not surpass with a prescribed probability. At long times, the tightest thresholds are proportional to the large deviation functions of stochastic entropy production. Our results entail an extension of martingale theory for entropy production, for which we derive universal inequalities involving its maximum and minimum statistics that are valid for generic Markovian dynamics in non-equilibrium stationary states. We test our main results with numerical simulations of a stochastic photoelectric device.
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