The reversible polydisperse Parking Lot Model

TL;DR

This paper introduces a reversible Parking Lot Model with polydisperse particles to study vibrated media compaction, revealing how density depends on particle size distribution and initialization.

Contribution

It presents a novel reversible model incorporating a hierarchical initialization and a self-consistent desorption mechanism for polydisperse systems.

Findings

Final density depends on polydispersity and initialization.

Maximum density occurs at a specific power law exponent.

Approaches near-unity density for certain parameters.

Abstract

We use a new version of the reversible Parking Lot Model to study the compaction of vibrated polydisperse media. The particle sizes are distributed according to a truncated power law. We introduce a self-consistent desorption mechanism with a hierarchical initialization of the system. In this way, we approach densities close to unity. The final density depends on the polydispersity of the system as well as on the initialization and will reach a maximum value for a certain exponent in the power law.