Casimir torque between two inhomogeneous semi-transparent concentric cylinders

TL;DR

This paper explores the Casimir energy and torque between inhomogeneous semi-transparent concentric cylinders, introducing a formalism that accounts for surface inhomogeneity and extending it to dielectric materials in weak coupling.

Contribution

It presents a novel approach to calculating Casimir interactions using surface inhomogeneity instead of corrugation, applicable to both scalar and dielectric cases.

Findings

Casimir energy and torque depend on surface inhomogeneity patterns.

Formalism works in both weak and strong coupling regimes.

Extension to dielectric materials in weak coupling regime.

Abstract

Motivated by the problem of Casimir energy, we investigate the idea of using inhomogeneity of surfaces instead of their corrugation, which leads to Casimir interaction between two inhomogeneous semi-transparent concentric cylinders. Using the multiple scattering method, we study the Casimir energy and torque between the cylinders with different potentials subjected to Dirichlet boundary conditions, both in weak and strong coupling regimes. We also extend our formalism to the case of two inhomogeneous dielectrics in a weak coupling regime.