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  • Letter
  • Open Access

Minimum-dissipation principle for synchronized stochastic oscillators far from equilibrium

Jan Meibohm1,2 and Massimiliano Esposito3

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Phys. Rev. E 110, L042102 – Published 15 October, 2024

DOI: https://doi.org/10.1103/PhysRevE.110.L042102

Abstract

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 synchronization transition from a decoherent into a synchronized 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 nonequilibrium states with least dissipation. This principle holds arbitrarily far from equilibrium, for any stochastic dynamics, and for all q.

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Small-amplitude synchronization in driven Potts models

Jan Meibohm and Massimiliano Esposito
Phys. Rev. E 110, 044114 (2024)

Article Text

Supplemental Material

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  38. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevE.110.L042102 for videos that illustrate the minimum-dissipation principle.

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Phys. Rev. E 110, L042102– Published 15 October, 2024
  • Received 26 January 2024
  • Accepted 5 September 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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