Negativity of the Casimir self-entropy in spherical geometries
- URL: http://arxiv.org/abs/2102.00241v1
- Date: Sat, 30 Jan 2021 15:27:02 GMT
- Title: Negativity of the Casimir self-entropy in spherical geometries
- Authors: Yang Li, Kimball A. Milton, Prachi Parashar, and Lujun Hong
- Abstract summary: It has been recognized for some time that even for perfect conductors, the interaction Casimir entropy, due to quantum/thermal fluctuations, can be negative.
This result was not considered problematic because it was thought that the self-entropies of the bodies would cancel this negative interaction entropy, yielding a total entropy that was positive.
In this paper we re-examine these issues, using improved physical and mathematical techniques, partly based on the Abel-Plana formula, and present numerical results for arbitrary temperatures and couplings.
- Score: 3.5705996014804273
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: It has been recognized for some time that even for perfect conductors, the
interaction Casimir entropy, due to quantum/thermal fluctuations, can be
negative. This result was not considered problematic because it was thought
that the self-entropies of the bodies would cancel this negative interaction
entropy, yielding a total entropy that was positive. In fact, this cancellation
seems not to occur. The positive self-entropy of a perfectly conducting sphere
does indeed just cancel the negative interaction entropy of a system consisting
of a perfectly conducting sphere and plate, but a model with weaker coupling in
general possesses a regime where negative self-entropy appears. The physical
meaning of this surprising result remains obscure. In this paper we re-examine
these issues, using improved physical and mathematical techniques, partly based
on the Abel-Plana formula, and present numerical results for arbitrary
temperatures and couplings, which exhibit the same remarkable features.
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