Aging and response properties in the parking-lot model

An adsorption-desorption (or parking-lot) model can reproduce qualitatively the densification kinetics and other features of a weakly vibrated granula r material. Here we study the the two-tune correlation and response functio ns of the model and demonstrate that their behavior is consistent with rece ntly observed memory effects in granular materials. Although the densificat ion kinetics and hysteresis are robust properties, we show that the aging b ehavior of the adsorption-desorption model is different from other models o f granular compaction. Vle propose an experimental test to distinguish the possible aging behaviors.