Material Dependence of the Wire-Particle Casimir Interaction

TL;DR

This paper investigates the Casimir interaction between a metallic wire and a spherical particle, deriving asymptotic forms, analyzing material dependence, and validating results with numerical calculations across different separation regimes.

Contribution

It provides the first detailed analysis of material dependence in wire-particle Casimir interactions, including asymptotic expressions and numerical validation.

Findings

Asymptotic interaction forms are derived for large separations.

Material independence is identified under certain conditions.

Numerical results agree with asymptotic and proximity force approximations.

Abstract

We study the Casimir interaction between a metallic cylindrical wire and a metallic spherical particle by employing the scattering formalism. At large separations, we derive the asymptotic form of the interaction. In addition, we find the interaction between a metallic wire and an isotropic atom, both in the non-retarded and retarded limits. We identify the conditions under which the asymptotic Casimir interaction does not depend on the material properties of the metallic wire and the particle. Moreover, we compute the exact Casimir interaction between the particle and the wire numerically. We show that there is a complete agreement between the numerics and the asymptotic energies at large separations. For short separations, our numerical results show good agreement with the proximity force approximation.