Next Article in Journal
Dynamics Analysis of a New Fractional-Order Hopfield Neural Network with Delay and Its Generalized Projective Synchronization
Previous Article in Journal
Spatial Measures of Urban Systems: from Entropy to Fractal Dimension
Open AccessArticle

Stochastic Thermodynamics of Oscillators’ Networks

by Simone Borlenghi 1,* and Anna Delin 1,2
Department of Applied Physics, School of Engineering Science, KTH Royal Institute of Technology, Electrum 229, SE-16440 Kista, Sweden
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;
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
Show Figures

Figure 1

MDPI and ACS Style

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

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop