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

摘要

The parking-lot model provides a qualitative description of the main featuresof the phenomenology of granular compaction. We derive here approximate kineticequations for this model, equations that are based on a $2-$parametergeneralization of the statistical-mechanical formalism first proposed byEdwards and coworkers. We show that history-dependent effects, such as memoryand Kovacs effects, are captured by this approach.