Viot P, Talbot J
Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris Cedex 05, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5 Pt 1):051106. doi: 10.1103/PhysRevE.69.051106. Epub 2004 May 24.
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.