Casimir Energy and Entropy between perfect metal Spheres
Pablo Rodriguez-Lopez
TL;DR
This paper investigates the Casimir energy and entropy between two perfect metal spheres, revealing nonmonotonic behaviors and negative entropy regions, with implications for thermodynamics.
Contribution
It provides analytical calculations of Casimir energy and entropy for metal spheres, highlighting novel nonmonotonic and negative entropy phenomena.
Findings
Nonmonotonic Helmholtz free energy with separation and temperature
Existence of negative entropy in certain parameter ranges
Nonmonotonic entropy behavior with temperature and separation
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.
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