Translation-rotation coupling and the kinematics of non-slip boundary conditions: A rough sphere between two sliding walls

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 analyze the consequences of the translation-rotation coupling of a 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.

Automated summary

The non-slip constraint between a particle and a wall is implemented using the rough sphere model in the microscopic collision dynamics. We investigate the effects of translation-rotation coupling of a rough sphere confined between two parallel planar walls and find that shearing the walls past each other preferentially transfers energy to the rotational degree of freedom and leads to bounded oscillation of the confined particle's energy.