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Work statistics in slow thermodynamic processes

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arxiv 2208.14214 v3 pith:5BHAQWBV submitted 2022-08-30 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords workthermodynamicprocessesquantityslowstatisticsadiabaticapply
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We apply the adiabatic approximation to slow but finite-time thermodynamic processes and obtain the full counting statistics of work. The average work consists of change in free energy and the dissipated work, and we identify each term as a dynamical- and geometric-phase-like quantity. An expression for the friction tensor, the key quantity in thermodynamic geometry, is explicitly given. The dynamical and geometric phases are proved to be related to each other via the fluctuation-dissipation relation.

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