Related papers: Detailed fluctuation theorem bounds apparent violations of the second law

Detailed fluctuation theorem bounds apparent violations of the second law

URL: http://arxiv.org/abs/2110.00630v1
Date: Fri, 1 Oct 2021 19:39:33 GMT
Title: Detailed fluctuation theorem bounds apparent violations of the second law
Authors: Domingos S. P. Salazar
Abstract summary: We show that the strong detailed fluctuation theorem implies a lower tight bound for apparent violations of the second law. As applications, we verify that the bound is satisfied for the entropy produced in the heat exchange problem between two reservoirs mediated by a bosonic mode.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The second law of thermodynamics is a statement about the statistics of the entropy production, $\langle \Sigma \rangle \geq 0$. For small systems, it is known that the entropy production is a random variable and negative values ($\Sigma < 0$) might be observed in some experiments. This situation is sometimes called apparent violation of the second law. In this sense, how often is the second law violated? For a given average $\langle \Sigma \rangle $, we show that the strong detailed fluctuation theorem implies a lower tight bound for the apparent violations of the second law. As applications, we verify that the bound is satisfied for the entropy produced in the heat exchange problem between two reservoirs mediated by a bosonic mode in the weak coupling approximation, a levitated nanoparticle and a classical particle in a box.

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