Title of article :
Hydrodynamic limit of a disordered lattice gas
Author/Authors :
Alessandra Faggionato، نويسنده , , Fabio Martinelli، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
We consider a model of lattice gas dynamics in Z^d in the presence of disorder. If the particle interaction is only mutual exclusion and if the disorder field is given by i.i.d. bounded random variables, we prove the almost sure existence of the hydrodynamical limit in dimension d>=3. The limit equation is a non linear diffusion equation with diffusion matrix characterized by a variational principle.
Keywords :
Lattice gas dynamics , Exclusion process , Disordered systems , Hydrodynamic limit
Journal title :
PROBABILITY THEORY AND RELATED FIELDS
Journal title :
PROBABILITY THEORY AND RELATED FIELDS