Casimir Energy and Entropy between perfect metal Spheres

Abstract

We calculate the Casimir energy and entropy for two perfect metal spheres in the large and short separation limit. We obtain nonmonotonic behavior of the Helmholtz free energy with separation and temperature, leading to parameter ranges with negative entropy, and also nonmonotonic behavior of the entropy with temperature and with the separation between the spheres. The appearance of this anomalous behavior of the entropy is discussed as well as its thermodynamic consequences.

10 pages and 8 figures. Accepted for publication in the Proceedings of the tenth conference on Quantum Field Theory under the influence of external conditions - QFEXT'11

References in corpus (8)

• Casimir forces between arbitrary compact objects
• The Casimir effect within scattering theory
• Casimir forces beyond the proximity approximation
• The proximity force approximation for the Casimir energy as a derivative expansion
• Multiple Scattering Methods in Casimir Calculations
• On the Casimir entropy for a ball in front of a plane
• Casimir effect between two spheres at small separations
• The Casimir effect as scattering problem

Cited by in corpus (5)

• Negative Entropies in Casimir and Casimir-Polder Interactions
• Casimir Self-Entropy of a Spherical Electromagnetic $\delta$-Function Shell
• Casimir Self-Entropy of an Electromagnetic Thin Sheet
• Presence of negative entropies in Casimir interactions
• Negativity of the Casimir self-entropy in spherical geometries