Eur. Phys. J. E 5, 445-449 (2001)
Aging and response properties in the parking-lot model
J. Talbot1, 2, G. Tarjus2 and P. Viot2, 31 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.
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