Collisional Cooling of a Charged Granular Medium

TL;DR

This paper derives a modified dissipation rate for charged granular media considering Coulomb interactions, introducing an effective potential and confirming results through simulations.

Contribution

It presents a novel analytical model for collisional cooling in charged granular media incorporating Coulomb effects and particle correlations.

Findings

Dissipation rate is scaled by a Boltzmann-like factor due to Coulomb interactions.

Effective potential accounts for particle correlations in the model.

Simulation results confirm the analytical predictions.

Abstract

The dissipation rate due to inelastic collisions between equally charged, insulating particles in a dilute granular medium is calculated. It is equal to the known dissipation rate for uncharged granular media multiplied by a Boltzmann-like factor, that originates from Coulomb interactions. We include particle correlations by introducing an effective potential, that replaces the bare Coulomb potential in the Boltzmann factor. All results are confirmed by computer simulations.