Survival and extreme statistics of work, heat, and entropy production in steadystate heat engines
Abstract
We derive universal bounds for the finitetime survival probability of the stochastic work extracted in steadystate heat engines and the stochastic heat dissipated to the environment. We also find estimates for the timedependent 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 nonequilibrium stationary states. We test our main results with numerical simulations of a stochastic photoelectric device.
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.03260
 Bibcode:
 2021arXiv210903260M
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 5+4 pages