Equivalence of Ensembles for Coloured Particles in a Disordered Lattice Gas

#### A. Dermoune, P. Heinrich

2005, v.11, Issue 3, 405-424

ABSTRACT

We consider a system of coloured particles in $Z^d$ driven by a disordered Markov generator similar to the one of [A. Faggionato and F. Martinelli, Hydrodynamic limit of a disordered lattice gas. Probab. Theory and Relat. Fields, 2003, 127, 535-608]. We establish the closeness between grand-canonical and canonical measures.

Keywords: lattice gas,equivalence of ensembles,disordered system,Markov process