Vacuum energy of a spherical plasma shell

Bordag, M.; Khusnutdinov, Nail R.

doi:10.1103/physrevd.77.085026

Cited by 59 publications

(70 citation statements)

References 17 publications

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“…The reason for the discrepancy with that of the procedure used in Ref. [9] is that our regulated expressions for the free energy vanish in the absence of interactions, so there can be no contribution at λ 0 = 0. It appears, as demonstrated in Appendix E for the analogous flat sheet problem, that in translating the free energy expression into the phase-shift formulation used in Refs.…”

Section: Appendix B: the High Temperature Limit Of The Tm Free Energymentioning

confidence: 74%

Remarks on the Casimir self-entropy of a spherical electromagnetic δ -function shell

et al. 2019

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Recently the Casimir self-entropy of an electromagnetic δ-function shell was considered by two different groups, with apparently discordant conclusions, although both had concluded that a region of negative entropy existed for sufficiently weak coupling. We had found that the entropy contained an infrared divergence, which we argued should be discarded on physical grounds. On the contrary, Bordag and Kirsten recently found a completely finite self-entropy, although they, in fact, have to remove an infrared divergence. Apart from this, the high-and low-temperature results for finite coupling agree precisely for the transverse electric mode, but there are significant discrepancies in the transverse magnetic mode. We resolve those discrepancies here. In particular, it is shown that coupling-independent terms do not occur in a consistent regulated calculation, they likely being an artefact of the omission of pole terms. The results of our previous analysis, especially, the existence of a negative entropy region for sufficiently weak coupling, are therefore confirmed. Finally, we offer some analogous remarks concerning the Casimir entropy of a thin electromagnetic sheet, where the total entropy is always positive. In that case, the origin of the analogous discrepancy can be explicitly isolated. * kmilton@ou.edu †

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Section: Appendix B: the High Temperature Limit Of The Tm Free Energymentioning

confidence: 74%

Remarks on the Casimir self-entropy of a spherical electromagnetic δ -function shell

et al. 2019

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“…whereĤ is the Hamilton operator of the electromagnetic field together with the matching conditions. It should be mentioned thatĤ is hermite, although the spectral problem associated with the TM mode is somewhat nonstandard due to the occurrence of double poles in the zeta function [16]. This way, we have a mathematically well defined problem.…”

Section: Introductionmentioning

confidence: 97%

On the entropy of a spherical plasma shell

Bordag¹,

Kirsten²

2018

J. Phys. A: Math. Theor.

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Negative entropy was repeatedly observed in the Casimir effect caused by dissipation or geometry. However, it was restricted to subsystems. Recently the question about the entropy for a complete Casimir effect like configuration was raised. In the present paper we consider a spherical plasma shell which can be considered as a (crude) model for a giant carbon molecule (e.g., C 60 ). The entropy is free of ultraviolet divergences and its calculation does not need any regularization. We calculate the entropy numerically and demonstrate unambiguously the existence of a region where it takes negative values. This region is at small values of temperature and plasma frequency (in units of the inverse radius).

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“…It is known (see, e.g., [7]) that the divergences in that limit are poles and are entirely determined by the heat kernel coefficients of the operator L. The standard powerlike asymptotic form of the heat kernel leads to simple poles of the zeta function, while a nontrivial boundary condition can lead to a logarithmic asymptotic behavior of the heat kernel and hence to second-order poles of the zeta function [18], [19].…”

Section: Introductionmentioning

confidence: 98%

Casimir effect for a collection of parallel conducting surfaces

Khusnutdinov

Kashapov

2015

Theor Math Phys

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We consider the Casimir energy for a system of conducting parallel planes with constant surface conductance and obtain a general expression for the Casimir energy of the systems of two, three, and four planes. For equal separations between the planes, the energy is inversely proportional to the cubed distance between the planes and for low conductance is independent of the Planck constant and the speed of light. For a system of ideally conducting planes, the Casimir energy is the sum of the Casimir energies of pairs of adjacent planes.

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Vacuum energy of a spherical plasma shell

Cited by 59 publications

References 17 publications

Remarks on the Casimir self-entropy of a spherical electromagnetic δ -function shell

Remarks on the Casimir self-entropy of a spherical electromagnetic δ -function shell

On the entropy of a spherical plasma shell

Casimir effect for a collection of parallel conducting surfaces

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