https://doi.org/10.1140/epjb/s10051-023-00490-6
Regular Article - Statistical and Nonlinear Physics
Heat fluctuations in overdamped non-isothermal processes
1
Departamento de Física, Pontifícia Universidade Católica, 22452-970, Rio de Janeiro, Brazil
2
Department of Physics, Bar Ilan University, 52900, Ramat Gan, Israel
3
National Institute of Science and Technology for Complex Systems, Rio de Janeiro, Brazil
Received:
14
July
2022
Accepted:
8
February
2023
Published online:
23
February
2023
In stochastic thermodynamics, non-isothermal processes are essential for most Brownian thermal machines. In this paper, we investigate how the inclusion of a temperature protocol affects heat and its fluctuations. The protocol needs to satisfy certain constraints to allow the particle to be stationary at the end of the process. We investigate the fluctuations of heat when there is a non-isothermal process for the non-stationary final velocity case, and the overdamped harmonic and quartic potential. Our results are consistent with thermodynamics and demonstrates the importance of adding a kinetic energy term to the equations in overdamped systems.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.