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Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model

Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics underpins the irreversible dynamics of small systems, the no...

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Autores principales: Aguilera, Miguel, Igarashi, Masanao, Shimazaki, Hideaki
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10290083/
https://www.ncbi.nlm.nih.gov/pubmed/37353499
http://dx.doi.org/10.1038/s41467-023-39107-y
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author Aguilera, Miguel
Igarashi, Masanao
Shimazaki, Hideaki
author_facet Aguilera, Miguel
Igarashi, Masanao
Shimazaki, Hideaki
author_sort Aguilera, Miguel
collection PubMed
description Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics underpins the irreversible dynamics of small systems, the nonequilibrium thermodynamics of larger, more complex systems remains unexplored. Here, we investigate the asymmetric Sherrington-Kirkpatrick model with synchronous and asynchronous updates as a prototypical example of large-scale nonequilibrium processes. Using a path integral method, we calculate a generating functional over trajectories, obtaining exact solutions of the order parameters, path entropy, and steady-state entropy production of infinitely large networks. Entropy production peaks at critical order-disorder phase transitions, but is significantly larger for quasi-deterministic disordered dynamics. Consequently, entropy production can increase under distinct scenarios, requiring multiple thermodynamic quantities to describe the system accurately. These results contribute to developing an exact analytical theory of the nonequilibrium thermodynamics of large-scale physical and biological systems and their phase transitions.
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spelling pubmed-102900832023-06-25 Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model Aguilera, Miguel Igarashi, Masanao Shimazaki, Hideaki Nat Commun Article Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics underpins the irreversible dynamics of small systems, the nonequilibrium thermodynamics of larger, more complex systems remains unexplored. Here, we investigate the asymmetric Sherrington-Kirkpatrick model with synchronous and asynchronous updates as a prototypical example of large-scale nonequilibrium processes. Using a path integral method, we calculate a generating functional over trajectories, obtaining exact solutions of the order parameters, path entropy, and steady-state entropy production of infinitely large networks. Entropy production peaks at critical order-disorder phase transitions, but is significantly larger for quasi-deterministic disordered dynamics. Consequently, entropy production can increase under distinct scenarios, requiring multiple thermodynamic quantities to describe the system accurately. These results contribute to developing an exact analytical theory of the nonequilibrium thermodynamics of large-scale physical and biological systems and their phase transitions. Nature Publishing Group UK 2023-06-23 /pmc/articles/PMC10290083/ /pubmed/37353499 http://dx.doi.org/10.1038/s41467-023-39107-y Text en © The Author(s) 2023 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
Aguilera, Miguel
Igarashi, Masanao
Shimazaki, Hideaki
Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
title Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
title_full Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
title_fullStr Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
title_full_unstemmed Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
title_short Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
title_sort nonequilibrium thermodynamics of the asymmetric sherrington-kirkpatrick model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10290083/
https://www.ncbi.nlm.nih.gov/pubmed/37353499
http://dx.doi.org/10.1038/s41467-023-39107-y
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