Stochastic Thermodynamics of Oscillators’ Networks

• Main Authors: Simone Borlenghi, Anna Delin
• Format: Article
• Language: English
• Published: MDPI AG 2018-12-01
• Series: Entropy
• Subjects: stochastic thermodynamics; heat transfer; oscillators’ networks; entropy production
• Online Access: https://www.mdpi.com/1099-4300/20/12/992

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.