Thermalization of an anisotropic granular particle

Abstract

We investigate the dynamics of a needle in a two-dimensional bath composed of thermalized point particles. Collisions between the needle and points are inelastic and characterized by a normal restitution coefficient $\alpha <1$. By using the Enskog-Boltzmann equation, we obtain analytical expressions for the translational and rotational granular temperatures of the needle and show that these are, in general, different from the bath temperature. The translational temperature always exceeds the rotational one, though the difference decreases with increasing moment of inertia. The predictions of the theory are in very good agreement with numerical simulations of the model.

arXiv comment7 pages, 6 Figures, submitted to PRE. Revised version (Fig1, Fig5 and Fig6 corrected + minor typos)

References in corpus (5)

• Breakdown of Energy Equipartition in a 2D Binary Vibrated Granular Gas
• Molecular dynamics simulations of vibrated granular gases
• Granular cooling of hard needles
• Studies of Mass and Size Effects in Three-Dimensional Vibrofluidized Granular Mixtures
• Granular fluid thermostatted by a bath of elastic hard spheres

Cited by in corpus (9)

• Granular materials composed of shape-anisotropic grains
• Energy nonequipartition in gas mixtures of inelastic rough hard spheres: The tracer limit
• Angular velocity distribution of a granular planar rotator in a thermalized bath
• 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
• Kinetic analysis of a chiral granular motor
• Granular gas of inelastic and rough Maxwell particles
• Power law in the angular velocity distribution of a granular needle
• Application of the Gillespie algorithm to a granular intruder particle