Work statistics in slow thermodynamic processes
arXiv:2208.14214 · doi:10.1063/5.0138405
Abstract
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.
arXiv comment6 pages. Accepted in the Journal of Chemical Physics
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