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Afrika Statistika 2011
Computation of spectral gap for a colored disordered lattice gasAbstract: We consider a system of colored disordered lattice gas in a volume Λ of Zd 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. On consid`ere un syst`eme de particules multicolor′ees, dispos′ees dans un volume fini Λ Zd, muni d’un d′esordre. On se propose de calculer pour ce syst`eme le trou spectral du g′en′erateur associ′e, le trou spectral jouant un r ole important dans l’′etude de la limite hydrodynamique. Une m′ethode de calcul des mesures canoniques pour un tel syst`eme a ′et′e ′etablie dans [10]. Les r′esultats pr′ec′edents nous ont permis de donner une forme explicite au trou spectral qui, son tour poss`ede des applications importantes dans l’′etude de la limite hydrodynamique.
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