Memory and Kovacs effects in the parking-lot model: an approximate statistical-mechanical treatment

Details Memory and Kovacs effects in the parking-lot model: an approximate statistical-mechanical treatment Memory and Kovacs effects in the parking-lot model: an approximate statistical-mechanical treatment

2003-10-30

arxiv.org/abs/cond-mat/0310738v1

Physics

Condensed Matter

Statistical Mechanics

11 pages 6 figures Proceeding Capri 2003 conference "Unifying concepts in granular media and glasses"

Scientific paper

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 $2-$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.

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