Fluctuation theorem for time-averaged work

Fuente: arXiv
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Autor principal: Nazé, Pierre
Formato: Preprint
Publicado: 2023
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author Nazé, Pierre
author_facet Nazé, Pierre
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2303_17016
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Fluctuation theorem for time-averaged work
Nazé, Pierre
Statistical Mechanics
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.
title Fluctuation theorem for time-averaged work
topic Statistical Mechanics
url https://arxiv.org/abs/2303.17016