From particle segregation to the granular clock

TL;DR

This paper investigates particle segregation in a vibrated granular system, revealing complex behaviors like horizontal segregation and periodicity, and introduces empirical ODEs that replicate these phenomena.

Contribution

It extends previous studies by analyzing a mixture of inelastic particles with fluidization, and proposes a novel empirical model capturing key segregation dynamics.

Findings

Observation of horizontal segregation and periodic behaviors

Empirical ODE model reproduces simulation features

Identification of rich phenomenology in vibrated granular mixtures

Abstract

Recently several authors studied the segregation of particles for a system composed of mono-dispersed inelastic spheres contained in a box divided by a wall in the middle. The system exhibited a symmetry breaking leading to an overpopulation of particles in one side of the box. Here we study the segregation of a mixture of particles composed of inelastic hard spheres and fluidized by a vibrating wall. Our numerical simulations show a rich phenomenology: horizontal segregation and periodic behavior. We also propose an empirical system of ODEs representing the proportion of each type of particles and the segregation flux of particles. These equations reproduce the major features observed by the simulations.