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- W2895846995 abstract "The housekeeping heat is the energy exchanged between a system and its environment in a nonequilibrium process that results from the violation of detailed balance. We describe fluctuations of the housekeeping heat in mesoscopic systems using the theory of martingales, a mathematical framework widely used in probability theory and finance. We show that the exponentiated housekeeping heat (in units of $k_{rm B}T$, with $k_{rm B}$ the Boltzmann constant and $T$ the temperature) of a Markovian nonequilibrium process under arbitrary time-dependent driving is a martingale process. From this result, we derive universal equalities and inequalities for the statistics of stopping-times and suprema of the housekeeping heat. We test our results with numerical simulations of a system driven out of equilibrium and described by Langevin dynamics." @default.
- W2895846995 created "2018-10-26" @default.
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- W2895846995 date "2019-01-07" @default.
- W2895846995 modified "2023-09-26" @default.
- W2895846995 title "Martingale theory for housekeeping heat" @default.
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- W2895846995 doi "https://doi.org/10.1209/0295-5075/124/60006" @default.
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