title: Exact solutions of some urn models of relaxation in glassy dynamics.
abstract: We consider two simple models, called "urn models," for a general N-ball, M-urn problem. These models find applications in the study of relaxation in glassy dynamics. We obtain exact analytical results in these two cases for the average relaxation time tau to reach the ground state. In model I we also obtain the functional dependence of tau for large N, and in model II we obtain an asymptotic (N-->infinity) dependence of tau as a function of the number of urns M.
authors.affiliation: Radiological Physics and Advisory Division, Bhabha Atomic Research Centre, Mumbai 400085 India. dtsrphd@magnum.barct1.ernet.in
authors.forename: D
authors.initials: D
authors.lastname: Arora
authors.forename: D P
authors.initials: DP
authors.lastname: Bhatia
authors.forename: M A
authors.initials: MA
authors.lastname: Prasad