Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
Abstract 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 system...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-06-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-023-39107-y |
| _version_ | 1797795611721859072 |
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| author | Miguel Aguilera Masanao Igarashi Hideaki Shimazaki |
| author_facet | Miguel Aguilera Masanao Igarashi Hideaki Shimazaki |
| author_sort | Miguel Aguilera |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-03-13T03:21:37Z |
| format | Article |
| id | doaj.art-d93cb96738d449e0939c9822db160a23 |
| institution | Directory Open Access Journal |
| issn | 2041-1723 |
| language | English |
| last_indexed | 2024-03-13T03:21:37Z |
| publishDate | 2023-06-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj.art-d93cb96738d449e0939c9822db160a232023-06-25T11:21:00ZengNature PortfolioNature Communications2041-17232023-06-0114111310.1038/s41467-023-39107-yNonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick modelMiguel Aguilera0Masanao Igarashi1Hideaki Shimazaki2BCAM – Basque Center for Applied MathematicsGraduate School of Engineering, Hokkaido UniversityGraduate School of Informatics, Kyoto UniversityAbstract 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.https://doi.org/10.1038/s41467-023-39107-y |
| spellingShingle | Miguel Aguilera Masanao Igarashi Hideaki Shimazaki Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model Nature Communications |
| 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 |
| url | https://doi.org/10.1038/s41467-023-39107-y |
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