Memory and Kovacs effects in the parking-lot model: an approximate statistical-mechanical treatment
arXiv:cond-mat/0310738
Abstract
The parking-lot model provides a qualitative description of the main features of the phenomenology of granular compaction. We derive here approximate kinetic equations for this model, equations that are based on a parameter generalization of the statistical-mechanical formalism first proposed by Edwards and coworkers. We show that history-dependent effects, such as memory and Kovacs effects, are captured by this approach.
11 pages 6 figures Proceeding Capri 2003 conference "Unifying concepts in granular media and glasses"