Time-dependent transport coefficients: an effective macroscopic description of small scale dynamics?
Debbasch, F. and Rivet, J.P

Sunday 28 November 2010 by Ponty Yannick

 Situations where particles taken from a thermal reservoir are immersed at some initial time in a fluid are considered. The diffusion model is the Ornstein–Uhlenbeck process. It is proven that particle transport in physical space can be described exactly at all times with the help of a time dependent diffusion coefficient; the result is, in particular, valid outside of the hydrodynamic regime. The use of time-dependent transport coefficients in other contexts in also discussed

 Debbasch, F. and Rivet, J.P., "Time-dependent transport coefficients: an effective macroscopic description of small scale dynamics?", Comptes Rendus Physique, 9, pp. 767-772 (2008) (doi:10.1016/j.crhy.2008.07.011)