On spectral gap for multicolored disordered lattice gas of exclusion processes

Abstract

We consider a system of multicolored disordered lattice gas in a volume Λ of Zd driven by a disordered Markov generator similar to that of Faggionato and Martinelli [A. Faggionato, F. Martinelli, Probab. Theory Related Fields, 127 (2003), 535–608]. The aim of our work is to give a new and elementary computation of the spectral gap of multicolored disordered lattice gas which is an important step towards obtaining the hydrodynamic limit.