Hydrodynamic limit of the Kawasaki dynamics with unbounded disorder
Abstract
In 2003, Faggionato A. and Martinelli F. proved that the hydrodynamic behavior of a simple exclusion process under the influence of a bounded disorder field can be described by a Cauchy problem. In this paper, we show that a similar conclusion also holds true if the disorder field is unbounded and satisfies a certain condition on its distribution.