Random loose packing and an order parameter for the parking lot model
Hernández, K. · Reyes, L. I.
Original · EN
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 ρ is introduced to characterize how far from a steady state situation the model is. Thus, configurations with ρ<1 age. We propose that ρ can be a starting point in order to stablish a connection between Edwards' statistical mechanics and granular hydrodynamics.
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