Article
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Stochastic Thermodynamics of Oscillators' Networks
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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.
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.
Keywords
stochastic thermodynamics, heat transfer, oscillators networks, entropy production
Subject
Physical Sciences, Thermodynamics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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