Ensemble and trajectory thermodynamics: A brief introduction

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We revisit stochastic thermodynamics for a system with discrete energy states in contact with a heat and particle reservoir.

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Irreversibility in Active Matter Systems: Fluctuation Theorem and Mutual Information (2018, methodology): “In the case of passive particles in contact with a single, purely thermal bath, the path probability ratio is a wellestablished fundamental concept in stochastic thermodynamics for assessing irreversibility [32–35].”
Stochastic thermodynamics: From principles to the cost of precision (2017, background): “A more comprehensive guide to the vast literature concerning refinements and theoretical and experimental case studies, can be found, inter alia, in several recent reviews [1, 2, 3, 4].”
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions (2016, background): “It also plays a crucial role to establish a consistent nonequilibrium thermodynamics for classical stochastic processes [8,9].”
Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical (2019, background): “Additional fluctuating thermodynamic potentials, in particular fluctuating entropy, are considered in stochastic thermodynamics (Van den Broeck and Esposito, 2015; Seifert, 2005, 2012).”
Fundamental aspects of steady-state conversion of heat to work at the nanoscale (2016, background): “The study of such trajectories is known as stochastic thermodynamics [42, 44].”