Condensation and equilibration in an urn model

TL;DR

This paper investigates the aging dynamics of the zeta urn model after a temperature quench, demonstrating its alignment with general aging system behaviors through numerical analysis of one-time and two-time quantities.

Contribution

It provides a numerical study showing how the zeta urn model exhibits aging phenomena with coexisting equilibrated and non-equilibrated degrees of freedom.

Findings

Model exhibits aging behavior consistent with theoretical frameworks

Presence of both equilibrated and aging degrees of freedom

Scaling properties match those observed in general aging systems

Abstract

After reviewing the general scaling properties of aging systems, we present a numerical study of the slow evolution induced in the zeta urn model by a quench from a high temperature to a lower one where a condensed equilibrium phase exists. By considering both one-time and two-time quantities we show that the features of the model fit into the general framework of aging systems. In particular, its behavior can be interpreted in terms of the simultaneous existence of equilibrated and aging degrees with different scaling properties.