# Kinetic Theory for Binary Granular Mixtures at Low-Density

## TL;DR

This paper reviews recent advances in kinetic theory for low-density binary granular mixtures, highlighting how it models inelastic collisions and compares well with simulations, covering transport, instabilities, and non-Newtonian behaviors.

## Contribution

It provides a comprehensive overview of kinetic theory applications to binary granular gases, including explicit transport coefficients and validation against simulations.

## Key findings

- Kinetic theory accurately models granular flow behavior.
- Transport coefficients are explicitly derived for inelastic collisions.
- Good agreement with Monte Carlo and molecular dynamics simulations.

## Abstract

Many features of granular media can be modelled as a fluid of hard spheres with {\em inelastic} collisions. Under rapid flow conditions, the macroscopic behavior of grains can be described through hydrodynamic equations. At low-density, a fundamental basis for the derivation of the hydrodynamic equations and explicit expressions for the transport coefficients appearing in them is provided by the Boltzmann kinetic theory conveniently modified to account for inelastic binary collisions. The goal of this chapter is to give an overview of the recent advances made for binary granular gases by using kinetic theory tools. Some of the results presented here cover aspects such as transport properties, energy nonequipartition, instabilities, segregation or mixing, non-Newtonian behavior, .... In addition, comparison of the analytical results with those obtained from Monte Carlo and molecular dynamics simulations is also carried out, showing the reliability of kinetic theory to describe granular flows even for strong dissipation.