Preprint Article Version 1 This version is not peer-reviewed

Stochastic Thermodynamics of Oscillators' Networks

Version 1 : Received: 9 November 2018 / Approved: 15 November 2018 / Online: 15 November 2018 (10:28:28 CET)

A peer-reviewed article of this Preprint also exists.

Borlenghi, S.; Delin, A. Stochastic Thermodynamics of Oscillators’ Networks. Entropy 2018, 20, 992. Borlenghi, S.; Delin, A. Stochastic Thermodynamics of Oscillators’ Networks. Entropy 2018, 20, 992.

Journal reference: Entropy 2018, 20, 992
DOI: 10.3390/e20120992

Abstract

We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and propagating heat for networks of nonlinear oscillators. By using the Hodge decomposition of thermodynamical forces and fluxes, we derive a formula for entropy production that generalises the notion of non-potential forces and makes transparent the breaking of detailed balance and of time reversal symmetry for states arbitrarily far from equilibrium. Our formalism is then applied to describe the off-equilibrium thermodynamics of a few examples, notably a continuum ferromagnet, a network of classical spin-oscillators and the Frenkel-Kontorova model of nano friction.

Subject Areas

stochastic thermodynamics, heat transfer, oscillators networks, entropy production

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.