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

TL;DR

This paper investigates how a rough sphere's translation and rotation are coupled under non-slip boundary conditions between two sliding walls, revealing energy transfer preferences and oscillatory behavior in confined systems.

Contribution

It introduces a microscopic analysis of translation-rotation coupling under non-slip constraints, highlighting energy transfer dynamics and oscillations in a confined rough sphere model.

Findings

Shearing deposits energy into the sphere's rotational mode.

Energy oscillates within the confined system.

Coupling influences energy distribution between translation and rotation.

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.