Closed model for granular compaction under weak tapping

TL;DR

This paper introduces a one-dimensional lattice model to analyze granular compaction under weak tapping, aligning with Edwards thermodynamics and exploring particle conservation effects on steady states.

Contribution

The paper presents a novel lattice model for granular compaction that incorporates particle conservation and connects with Edwards thermodynamics theory.

Findings

Model is consistent with Edwards thermodynamics

Density changes linked to empty site dynamics

Discusses relationship with non-conserving lattice models

Abstract

A one dimensional lattice model is formulated to study tapping dynamics and the long time steady distribution in granular media. The dynamics conserves the number of particles in the system, and density changes are associated to the creation and destruction of empty sites. The model is shown to be consistent with Edwards thermodynamics theory of powders. The relationship with lattice models in which the number of particles is not conserved is discussed.