Abstract
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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Chetrite, R., Gawędzki, K. Eulerian and Lagrangian Pictures of Non-equilibrium Diffusions. J Stat Phys 137, 890–916 (2009). https://doi.org/10.1007/s10955-009-9803-4
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DOI: https://doi.org/10.1007/s10955-009-9803-4