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A topological fluctuation theorem

Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to give a geometric characterization of the entropy production....

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Autores principales: Mahault, Benoît, Tang, Evelyn, Golestanian, Ramin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9156749/
https://www.ncbi.nlm.nih.gov/pubmed/35641506
http://dx.doi.org/10.1038/s41467-022-30644-6
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author Mahault, Benoît
Tang, Evelyn
Golestanian, Ramin
author_facet Mahault, Benoît
Tang, Evelyn
Golestanian, Ramin
author_sort Mahault, Benoît
collection PubMed
description Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to give a geometric characterization of the entropy production. Building on this picture, we formulate a topological fluctuation theorem that depends only by the winding number around each vortex core and is insensitive to other aspects of the force. The probability is robust to local deformations of the particle trajectory, reminiscent of topologically protected modes in various classical and quantum systems. We demonstrate that entropy production is quantized in these strongly fluctuating systems, and it is controlled by a topological invariant. We demonstrate that the theorem holds even when the probability distributions are non-Gaussian functions of the generated heat.
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spelling pubmed-91567492022-06-02 A topological fluctuation theorem Mahault, Benoît Tang, Evelyn Golestanian, Ramin Nat Commun Article Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to give a geometric characterization of the entropy production. Building on this picture, we formulate a topological fluctuation theorem that depends only by the winding number around each vortex core and is insensitive to other aspects of the force. The probability is robust to local deformations of the particle trajectory, reminiscent of topologically protected modes in various classical and quantum systems. We demonstrate that entropy production is quantized in these strongly fluctuating systems, and it is controlled by a topological invariant. We demonstrate that the theorem holds even when the probability distributions are non-Gaussian functions of the generated heat. Nature Publishing Group UK 2022-05-31 /pmc/articles/PMC9156749/ /pubmed/35641506 http://dx.doi.org/10.1038/s41467-022-30644-6 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Mahault, Benoît
Tang, Evelyn
Golestanian, Ramin
A topological fluctuation theorem
title A topological fluctuation theorem
title_full A topological fluctuation theorem
title_fullStr A topological fluctuation theorem
title_full_unstemmed A topological fluctuation theorem
title_short A topological fluctuation theorem
title_sort topological fluctuation theorem
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9156749/
https://www.ncbi.nlm.nih.gov/pubmed/35641506
http://dx.doi.org/10.1038/s41467-022-30644-6
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