Minimum-dissipation principle for synchronised stochastic oscillators far from equilibrium
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913665880424448 |
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| author | Meibohm, Jan Esposito, Massimiliano |
| author_facet | Meibohm, Jan Esposito, Massimiliano |
| contents | We prove a linear stability-dissipation relation (SDR) for $q$-state Potts models driven far from equilibrium by a nonconservative force. At a critical coupling strength, these models exhibit a synchronisation transition from a decoherent into a synchronised state. In the vicinity of this transition, the SDR connects the entropy production rate per oscillator to the phase-space contraction rate, a measure of stability, in a simple way. For large but finite systems, we argue that the SDR implies a minimum-dissipation principle for driven Potts models as the dynamics selects stable non-equilibrium states with least dissipation. This principle holds arbitrarily far from equilibrium, for any stochastic dynamics, and for all $q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimum-dissipation principle for synchronised stochastic oscillators far from equilibrium Meibohm, Jan Esposito, Massimiliano Statistical Mechanics Pattern Formation and Solitons We prove a linear stability-dissipation relation (SDR) for $q$-state Potts models driven far from equilibrium by a nonconservative force. At a critical coupling strength, these models exhibit a synchronisation transition from a decoherent into a synchronised state. In the vicinity of this transition, the SDR connects the entropy production rate per oscillator to the phase-space contraction rate, a measure of stability, in a simple way. For large but finite systems, we argue that the SDR implies a minimum-dissipation principle for driven Potts models as the dynamics selects stable non-equilibrium states with least dissipation. This principle holds arbitrarily far from equilibrium, for any stochastic dynamics, and for all $q$. |
| title | Minimum-dissipation principle for synchronised stochastic oscillators far from equilibrium |
| topic | Statistical Mechanics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2401.14982 |