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math-ph2014
Fick's Law for the Lorentz Model in a weak coupling regime
Alessia Nota
In this paper we deal with further recent developments, strictly connected to the recent result obtained by Basile, Nota, Pezzotti and Pulvirenti. We consider the Lorentz gas out o…
math-ph2014★ 4 cited
Diffusive limit for the random Lorentz gas
Alessia Nota
We review some recent results concerning the derivation of the diffusion equation and the validation of Fick's law for the microscopic model given by the random Lorentz Gas. These…
math-ph2014★ 14 cited
Derivation of the Fick's Law for the Lorentz Model in a low density regime
Giada Basile, Alessia Nota, Federica Pezzotti +1
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 microsc…