Fluctuation theorem for time-averaged work
arXiv:2303.17016 · doi:10.1088/1742-5468/adaf8e
Abstract
There is evidence that taking the time average of the work performed by a thermally isolated system effectively "transforms" the adiabatic process into an isothermal one. This approach allows inherent quantities of adiabatic processes to be accessed through the definitions of isothermal processes. A fluctuation theorem is then established, linking the time-averaged work to the quasistatic work. Numerical evidence supporting this equality is provided for a classical harmonic oscillator with a driven linear equilibrium position parameter. Furthermore, the strong inequality for the averaged work is derived from the deduced fluctuation theorem using optimality arguments.
7+1 pages, 1 figure. Erratum of the published version as ancillary file
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