Stochastic models of thermodiffusion
Chevalier, C., Debbasch, F. and Rivet, J.P.,

Sunday 28 November 2010 by Ponty Yannick

New stochastic models of thermodiffusion are constructed and their hydrodynamical limits are studied through a first-order Chapman–Enskog expansion. These models differ from earlier ones by taking into account all first-order contributions proportional to the temperature gradient and, thus, allow for both positive and negative Soret coefficients, in accordance with observations. 

 Chevalier, C., Debbasch, F. and Rivet, J.P., "Stochastic models of thermodiffusion", Modern Physics Letters B, 23 (9), pp. 1147-1155 (2009) (doi:10.1142/S0217984909019260)