Nonequilibrium dynamics of the zeta urn model

Details Nonequilibrium dynamics of the zeta urn model Nonequilibrium dynamics of the zeta urn model

2001-06-14

arxiv.org/abs/cond-mat/0106272v1

Eur. Phys. J. B 23, 473-486 (2001)

Physics

Condensed Matter

Statistical Mechanics

30 pages, 1 figure

Scientific paper

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 \fd ratio, both along the critical line and in the condensed phase. For well separated times the \fd ratio admits non-trivial limit values, both at criticality and in the condensed phase, which are universal quantities depending continuously on temperature.

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