Work distribution in thermal processes

Abstract

We find the moment generating function (mgf) of the nonequilibrium work for open systems undergoing a thermal process, ie, when the stochastic dynamics maps thermal states into time dependent thermal states. The mgf is given in terms of a temperature-like scalar satisfying a first order ODE. We apply the result to some paradigmatic situations: a levitated nanoparticle in a breathing optical trap, a brownian particle in a box with a moving piston and a two state system driven by an external field, where the work mgfs are obtained for different timescales and compared with Monte Carlo simulations.

5 pages, 5 figures

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• Optimizing Brownian heat engine with shortcut strategy
• Stochastic thermodynamics of a piezoelectric energy harvester model
• Generalized Quantum Fluctuation Theorem for Energy Exchange
• Detailed fluctuation theorem bounds apparent violations of the second law
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
• Relation between fluctuations and efficiency at maximum power for small heat engines
• Work statistics and thermal phase transitions
• Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
• Brownian Fluctuations of a non-confining potential