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Stochastic Thermodynamics of oscillators networks
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 trans- parent 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.Comment: 8 pages, 1 figur
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