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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2508.19455 |
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| _version_ | 1866911590079528960 |
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| author | Katagiri, So Matsuoka, Yoshiki Sugamoto, Akio |
| author_facet | Katagiri, So Matsuoka, Yoshiki Sugamoto, Akio |
| contents | Far-from-equilibrium thermodynamic systems dominated by strong nonlinearity are reformulated within a dynamical framework based on the Nambu bracket formalism. It is demonstrated that general complex nonlinear non-equilibrium systems can be locally reduced to a simple form of Nambu Non-equilibrium Thermodynamics (NNET). Furthermore, mathematical and dynamical obstacles encountered in extending this reduction globally are discussed, and a generalized formulation that incorporates nonlinear effects through mixed higher-order tensors is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reduction of Complex Dynamics in Far-from-equilibrium Systems: Nambu Non-equilibrium Thermodynamics Katagiri, So Matsuoka, Yoshiki Sugamoto, Akio Statistical Mechanics High Energy Physics - Theory Mathematical Physics 82C35 Far-from-equilibrium thermodynamic systems dominated by strong nonlinearity are reformulated within a dynamical framework based on the Nambu bracket formalism. It is demonstrated that general complex nonlinear non-equilibrium systems can be locally reduced to a simple form of Nambu Non-equilibrium Thermodynamics (NNET). Furthermore, mathematical and dynamical obstacles encountered in extending this reduction globally are discussed, and a generalized formulation that incorporates nonlinear effects through mixed higher-order tensors is proposed. |
| title | Reduction of Complex Dynamics in Far-from-equilibrium Systems: Nambu Non-equilibrium Thermodynamics |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics 82C35 |
| url | https://arxiv.org/abs/2508.19455 |