Eur. Phys. J. E 5, 445-449 (2001)

Aging and response properties in the parking-lot model

J. Talbot^{1, 2}, G. Tarjus² and P. Viot<sup>2, 3

1</sup>  Department of Chemistry and Biochemistry, Duquesne University, Pittsburgh, PA 15282-1530, USA
²  Laboratoire de Physique Théorique des Liquides (UMR 7600, CNRS) , Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05, France
³  Laboratoire de Physique Théorique (UMR 8627, CNRS) , bâtiment 210, Université de Paris-Sud, 91405 Orsay Cedex, France

viot@lptl.jussieu.fr

(Received 26 February 2001)

Abstract
An adsorption-desorption (or parking-lot) model can reproduce qualitatively the densification kinetics and other features of a weakly vibrated granular material. Here we study the the two-time correlation and response functions of the model and demonstrate that their behavior is consistent with recently observed memory effects in granular materials. Although the densification kinetics and hysteresis are robust properties, we show that the aging behavior of the adsorption-desorption model is different from other models of granular compaction. We propose an experimental test to distinguish the possible aging behaviors.

PACS
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
81.05.Rm - Porous materials; granular materials.
75.10.Nr - Spin-glass and other random models.


© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001