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Stochastic Thermodynamics of Oscillators’ Networks

by 1,* and 1,2
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.
Entropy 2018, 20(12), 992; https://doi.org/10.3390/e20120992
Received: 9 November 2018 / Revised: 14 December 2018 / Accepted: 16 December 2018 / Published: 19 December 2018
(This article belongs to the Section Statistical Physics)
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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MDPI and ACS Style

Borlenghi, S.; Delin, A. Stochastic Thermodynamics of Oscillators’ Networks. Entropy 2018, 20, 992. https://doi.org/10.3390/e20120992

AMA Style

Borlenghi S, Delin A. Stochastic Thermodynamics of Oscillators’ Networks. Entropy. 2018; 20(12):992. https://doi.org/10.3390/e20120992

Chicago/Turabian Style

Borlenghi, Simone, and Anna Delin. 2018. "Stochastic Thermodynamics of Oscillators’ Networks" Entropy 20, no. 12: 992. https://doi.org/10.3390/e20120992

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