Kinetic theory of dilute granular gases having an inverse power law potential

TL;DR

This paper develops a kinetic theory framework for dilute granular gases with inverse power law potentials, deriving temperature evolution, transport coefficients, and analyzing stability and mode thresholds.

Contribution

It introduces a novel kinetic theory approach for granular gases with inverse power law interactions, including stability analysis and mode threshold dependence.

Findings

Derived temperature and transport coefficient evolution from Boltzmann equation

Performed linear stability analysis of hydrodynamics

Identified softness dependence of shear and heat mode thresholds

Abstract

The kinetic theory of dilute granular gases having an inverse power law repulsive potential is studied. We derive the time evolution of the temperature and the transport coefficients from the Boltzmann equation. We also investigate the linear stability analysis of the hydrodynamics, and study the softness dependence of the thresholds for the shear and heat modes against the restitution coefficient.