Translation-Rotation Coupling and the Kinematics of Non-Slip Boundary Conditions: A Rough Sphere between Two Sliding Walls

Abstract

A non-slip constraint between a particle and a wall is applied at the microscopic level of collision dynamics using the rough sphere model. We analyse the consequences of the translation-rotation coupling of the rough sphere confined between two parallel planar walls and establish that shearing the walls past each other i) preferentially deposits energy into the rotational degree of freedom and ii) results in a bounded oscillation of the energy of the confined particle.