Eulerian and Lagrangian pictures of non-equilibrium diffusions
classification
❄️ cond-mat.stat-mech
nlin.CD
keywords
dynamicsequilibriumframelagrangiannon-equilibriumbalanceconsiderationsdetailed
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We show that a non-equilibrium diffusive dynamics in a finite-dimensional space takes in the Lagrangian frame of its mean local velocity an equilibrium form with the detailed balance property. This explains the equilibrium nature of the fluctuation-dissipation relations in that frame observed previously. The general considerations are illustrated on few examples of stochastic particle dynamics.
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