Random loose packing and an order parameter for the parking lot model
arXiv:1005.4615
Abstract
We have obtained the random loose packing fraction of the parking lot model (PLM) by taking the limit of infinite compactivity in the two-variable statistical description of Tarjus and Viot for the PLM. The PLM is a stochastic model of adsorption and desorption of particles on a substrate that have been used as a model for compaction of granular materials. An order parameter is introduced to characterize how far from a steady state situation the model is. Thus, configurations with age. We propose that can be a starting point in order to stablish a connection between Edwards' statistical mechanics and granular hydrodynamics.
6 pages, 4 figures