The shearing instability of a dilute granular mixture

Abstract

The shearing instability of a dilute granular mixture composed of smooth inelastic hard spheres or disks is investigated. By using the Navier-Stokes hydrodynamic equations, it is shown that the scaled transversal velocity mode exhibits a divergent behaviour, similarly to what happens in one-component systems. The theoretical prediction for the critical size is compared with direct Monte Carlo simulations of the Boltzmann equations describing the system, and a good agreement is found. The total energy fluctuations in the vicinity of the transition are shown to scale with the second moment of the distribution. The scaling distribution function is the same as found in other equilibrium and non-equilibrium phase transitions, suggesting the existence of some kind of universality.

References in corpus (4)

• Enskog Theory for Polydisperse Granular Mixtures II. Sonine Polynomial Approximation
• Mass and heat fluxes for a binary granular mixture at low-density
• Assessing a Hydrodynamic Description for Instabilities in Highly Dissipative, Freely Cooling Granular Gases
• Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density

Cited by in corpus (9)

• Enskog kinetic theory for multicomponent granular suspensions
• Instabilities in moderately dense granular binary mixtures
• Impact of roughness on the instability of a free-cooling granular gas
• Transport coefficients for granular suspensions at moderate densities
• Stability of freely cooling granular mixtures at moderate densities
• Heat flux of driven granular mixtures at low density. Stability analysis of the homogeneous steady state
• Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture
• Enskog kinetic theory of binary granular suspensions: heat flux and stability analysis of the homogeneous steady state
• Instabilities in granular gas-solid flows