Non-equilibrium phase transition in a sheared granular mixture

Abstract

The dynamics of an impurity (or tracer particle) immersed in a dilute granular gas under uniform shear flow is investigated. A non-equilibrium phase transition is identified from an exact solution of the inelastic Boltzmann equation for a granular binary mixture in the tracer limit, where the impurity carries either a vanishing (disordered phase) or a finite (ordered phase) fraction of the total kinetic energy of the system. In the disordered phase, the granular temperature ratio (impurity "temperature" over that of the host fluid) is finite, while it diverges in the ordered phase. To correctly capture this extreme violation of energy equipartition, we show that the picture of an impurity enslaved to the host fluid is insufficient.

References in corpus (3)

• Velocity Distributions of Granular Gases with Drag and with Long-Range Interactions
• The rich behavior of the Boltzmann equation for dissipative gases
• Velocity fluctuations in a one dimensional Inelastic Maxwell model

Cited by in corpus (10)

• Impurity in a sheared inelastic Maxwell gas
• Generalized transport coefficients for inelastic Maxwell mixtures under shear flow
• Anomalous transport of impurities in inelastic Maxwell gases
• Getting hotter by heating less: How driven granular materials dissipate energy in excess
• Rheology of a dilute binary mixture of inertial suspension under simple shear flow
• Navier-Stokes transport coefficients for driven inelastic Maxwell models
• Influence of a drag force on linear transport in low-density gases. Stability analysis
• High-degree collisional moments of inelastic Maxwell mixtures. Application to the homogeneous cooling and uniform shear flow states
• Tracer diffusion coefficients in a sheared inelastic Maxwell gas
• Dissipative homogeneous Maxwell mixtures: ordering transition in the tracer limit