Casimir energy of a dilute dielectric ball with uniform velocity of light at finite temperature

TL;DR

This paper calculates the Casimir energy, free energy, and force for a dilute dielectric ball with uniform light velocity at finite temperatures, revealing a repulsive force and analyzing high-temperature behavior.

Contribution

It provides a novel finite-temperature analysis of Casimir effects for a dielectric ball with uniform light velocity, including classical high-temperature limits.

Findings

Casimir force is repulsive for the dielectric ball.

Finite temperature effects are thoroughly analyzed.

High-temperature limit behavior is characterized.

Abstract

The Casimir energy, free energy and Casimir force are evaluated, at arbitrary finite temperature, for a dilute dielectric ball with uniform velocity of light inside the ball and in the surrounding medium. In particular, we investigate the classical limit at high temperature. The Casimir force found is repulsive, as in previous calculations.