On spectral gap for multicolored disordered lattice gas of exclusion processes

We consider a system of multicolored disordered lattice gas in a volume \(\Lambda\) of \(\mathbb{Z}^{d}\) driven by a disordered Markov generator similar to that of Faggionato and Martinelli [A. Faggionato, F. Martinelli, Probab. Theory Related Fields, \(\textbf{127}\) (2003), 535608]. 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.