Orientational correlation and velocity distributions in uniform shear flow of a dilute granular gas

Abstract

Using particle simulations of the uniform shear flow of a rough dilute granular gas, we show that the translational and rotational velocities are strongly correlated in direction, but there is no orientational correlation-induced singularity at perfectly smooth ($\beta =-1$) and rough ($\beta =1$) limits for elastic collisions ($e=1$); both the translational and rotational velocity distribution functions remain close to a Gaussian for these two limiting cases. Away from these two limits, the orientational as well as spatial velocity correlations are responsible for the emergence of non-Gaussian high velocity tails. The tails of both distribution functions follow stretched exponentials, with the exponents depending on normal ($e$) and tangential ($\beta$) restitution coefficients.

Physical Review Letters (accepted)

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• Inhomogeneous Cooling of the Rough Granular Gas in Two Dimensions
• Interplay between polydispersity, inelasticity, and roughness in the freely cooling regime of hard-disk granular gases
• Energy Production Rates of Multicomponent Granular Gases of Rough Particles. A Unified View of Hard-Disk and Hard-Sphere Systems
• Asymptotic behavior of the velocity distribution of driven inelastic gas with scalar velocities: analytical results
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• Velocity distribution of driven granular gases
• Asymptotic velocity distribution of a driven one dimensional binary granular Maxwell gas
• Statistics of a 2D immersed granular gas magnetically forced in volume
• Moderately dense granular gas of inelastic rough spheres
• Retained-spin micropolar hydrodynamics from the Boltzmann--Curtiss equation
• Chain structure of head-on collisions in boundary driven granular gases
• Exact Rheology of Uniform Shear Flow in a Gas of Inelastic and Rough Maxwell Particles