Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 336, Issue 3, Pages 1607-1636Publisher
SPRINGER
DOI: 10.1007/s00220-015-2306-z
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Funding
- Italian Project FIRB
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We consider the Lorentz model in a slab with two mass reservoirs at the boundaries. We show that, in a low density regime, there exists a unique stationary solution for the microscopic dynamics, which converges to the stationary solution of the heat equation, namely to the linear profile of the density. In the same regime, the macroscopic current in the stationary state is given by the Fick's law, with the diffusion coefficient determined by the Green-Kubo formula.
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