Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
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- Aguilera, Miguel
- BCAM – Basque Center for Applied Mathematics; IKERBASQUE, Basque Foundation for Science; School of Engineering and Informatics, University of Sussex, Falmer
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- Igarashi, Masanao
- Graduate School of Engineering, Hokkaido University
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- Shimazaki, Hideaki
- Graduate School of Informatics, Kyoto University; Center for Human Nature, Artificial Intelligence, and Neuroscience (CHAIN), Hokkaido University
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.
The Ising on the cake: Deciphering the thermodynamic arrow of time in large-scale complex networks. 京都大学プレスリリース. 2023-07-06.
Journal
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- Nature Communications
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Nature Communications 14 2023-06-23
Springer Nature
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Details 詳細情報について
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- CRID
- 1050015191115090944
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- ISSN
- 20411723
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- HANDLE
- 2433/283916
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB