Abstract:
We consider a mean-field dynamical urn model, defined by rules which give the rate at which a ball is drawn from an urn and put in another one, chosen amongst an assembly. At equilibrium, this model possesses a fluid and a condensed phase, separated by a critical line. We present an analytical study of the nonequilibrium properties of the fluctuating number of balls in a given urn, considering successively the temporal evolution of its distribution, of its two-time correlation and response functions, and of the associated fluctuation-dissipation ratio, both along the critical line and in the condensed phase. For well separated times the fluctuation-dissipation ratio admits non-trivial limit values, both at criticality and in the condensed phase, which are universal quantities depending continuously on temperature.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 14 June 2001
Rights and permissions
About this article
Cite this article
Godrèche, C., Luck, J. Nonequilibrium dynamics of the zeta urn model. Eur. Phys. J. B 23, 473–486 (2001). https://doi.org/10.1140/e10051-001-003-5
Issue Date:
DOI: https://doi.org/10.1140/e10051-001-003-5