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We consider a system of colored disordered lattice gas in a volume Λ of Z d which plays an important role in the study of hydrodynamic limit. A new computation method for the canonical measures for such a system has been established in (10). We use those results and base on them computation method for the related spectral gap which in turn has important application in hydrodynamic. R esum e. On considere un systeme de particules multicolorees, disposees dans un volume fini Λ ⊂ Z d , muni d'un desordre. On se propose de calculer pour ce systeme le trou spectral du generateur associe, le trou spectral jouant un role important dans l'´ etude de la limite hydrodynamique. Une methode de calcul des mesures canoniques pour un tel systeme aedans (10). Les resultats precedents nous ont permis de donner une forme explicite au trou spectral qui, son tour possede des applications importantes dans l'´ etude de la limite hydrodynamique.

Computation of spectral gap for a colored disordered lattice gas