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Entropy 2018, 20(12), 992; https://doi.org/10.3390/e20120992

Stochastic Thermodynamics of Oscillators’ Networks

1
Department of Applied Physics, School of Engineering Science, KTH Royal Institute of Technology, Electrum 229, SE-16440 Kista, Sweden
2
Swedish e-Science Research Center (SeRC), KTH Royal Institute of Technology, SE-10044 Stockholm, Sweden
*
Author to whom correspondence should be addressed.
Received: 9 November 2018 / Revised: 14 December 2018 / Accepted: 16 December 2018 / Published: 19 December 2018
(This article belongs to the Section Statistical Physics)
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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. View Full-Text
Keywords: stochastic thermodynamics; heat transfer; oscillators’ networks; entropy production stochastic thermodynamics; heat transfer; oscillators’ networks; entropy production
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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 (CC BY 4.0).
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Borlenghi, S.; Delin, A. Stochastic Thermodynamics of Oscillators’ Networks. Entropy 2018, 20, 992.

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