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Condensed Matter > Statistical Mechanics
Title: Fluctuation theorem for time-averaged work
(Submitted on 29 Mar 2023 (v1), last revised 18 Apr 2024 (this version, v3))
Abstract: There is evidence that taking the time average of the work performed by a thermally isolated system ``transforms'' the adiabatic process into an isothermal one. Also, such a measurement accesses the inherent quantities of the system, which were not available to obtain with the usual work. I add here one more fact to this case by showing that the difference of the time-averaged Helmholtz's free energies is equal to the quasistatic work of the system. I also show a fluctuation theorem relating the time-averaged work and the quasistatic work. Numerical evidence for such an equality is also presented for the classical harmonic oscillator with a driven linear equilibrium position parameter. In the end, it is proposed that a more useful way to measure the spent of energy of a thermally isolated system is made by the time-averaged work instead of the usual work.
Submission history
From: Pierre Nazé [view email][v1] Wed, 29 Mar 2023 20:48:21 GMT (75kb)
[v2] Thu, 4 May 2023 10:20:28 GMT (75kb)
[v3] Thu, 18 Apr 2024 11:35:35 GMT (75kb)
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