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SUMMARY:Derivation of the Fick's law for the Lorentz model in a low densit
 y regime - Nota\, A (University of Helsinki)
DTSTART:20150603T130000Z
DTEND:20150603T140000Z
UID:TALK59662@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:In this talk we consider a simple microscopic model given by t
 he  Lorentz gas\, a system of non interacting light particles in a  distri
 bution of scatterers\, in contact with two mass reservoirs. We show that\,
  in a low density regime\, there exists a unique stationary  \nsolution fo
 r the microscopic dynamics which converges to the stationary solution of t
 he heat equation\, namely to the linear profile of the density. In the sam
 e regime the macroscopic current in the stationary state is given by the F
 ick's law\, with the diffusion coefficient determined by the Green-Kubo fo
 rmula. These results are obtained in collaboration with G. Basile\, F. Pez
 zotti and M. Pulvirenti.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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