0825 - 0305 Computation of spectral gap for a colored disordered lattice gas
نویسنده
چکیده
We consider a system of colored disordered lattice gas in a volume Λ of Z 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. Résumé. On considère un système de particules multicolorées, disposées dans un volume fini Λ⊂ Z, muni d’un désordre. On se propose de calculer pour ce système le trou spectral du générateur associé, le trou spectral jouant un rôle important dans l’étude de la limite hydrodynamique. Une méthode de calcul des mesures canoniques pour un tel système a été établie dans [10]. Les résultats précédents nous ont permis de donner une forme explicite au trou spectral qui, son tour possède des applications importantes dans l’étude de la limite hydrodynamique.
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