Eulerian and Lagrangian pictures of non-equilibrium diffusions

Details Eulerian and Lagrangian pictures of non-equilibrium diffusions Eulerian and Lagrangian pictures of non-equilibrium diffusions

2009-05-28

arxiv.org/abs/0905.4667v1

Physics

Condensed Matter

Statistical Mechanics

21 pages

Scientific paper

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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