Nonlocal impedances and the casimir entropy at low temperatures

V.B. Svetovoy, R. Esquivel

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Abstract

The problem with the temperature dependence of the Casimir force is investigated. Specifically, the entropy behavior in the low temperature limit, which caused debates in the literature, is analyzed. It is stressed that the behavior of the relaxation frequency in the T0 limit does not play a physical role since the anomalous skin effect dominates in this range. In contrast with the previous works, where the approximate Leontovich impedance was used for analysis of nonlocal effects, we give description of the problem in terms of exact nonlocal impedances. It is found that the Casimir entropy is going to zero at T0 only in the case when s polarization does not contribute to the classical part of the Casimir force. However, the entropy approaching zero from the negative side that, in our opinion, cannot be considered as thermodynamically satisfactory. The resolution of the negative entropy problem proposed in the literature is analyzed and it is shown that it cannot be considered as complete. The crisis with the thermal Casimir effect is stressed.
Original languageEnglish
Article number036113
Number of pages8
JournalPhysical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics
Volume72
Issue number3
DOIs
Publication statusPublished - 15 Aug 2005

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Impedance
Entropy
impedance
entropy
Casimir Force
Nonlocal Effects
Casimir Effect
Thermal Effects
Zero
Temperature Dependence
Skin
Anomalous
temperature effects
Polarization
temperature dependence
polarization
Range of data

Keywords

  • EWI-9804
  • IR-54416
  • METIS-228567

Cite this

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Nonlocal impedances and the casimir entropy at low temperatures. / Svetovoy, V.B.; Esquivel, R.

In: Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol. 72, No. 3, 036113, 15.08.2005.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Nonlocal impedances and the casimir entropy at low temperatures

AU - Svetovoy, V.B.

AU - Esquivel, R.

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N2 - The problem with the temperature dependence of the Casimir force is investigated. Specifically, the entropy behavior in the low temperature limit, which caused debates in the literature, is analyzed. It is stressed that the behavior of the relaxation frequency in the T0 limit does not play a physical role since the anomalous skin effect dominates in this range. In contrast with the previous works, where the approximate Leontovich impedance was used for analysis of nonlocal effects, we give description of the problem in terms of exact nonlocal impedances. It is found that the Casimir entropy is going to zero at T0 only in the case when s polarization does not contribute to the classical part of the Casimir force. However, the entropy approaching zero from the negative side that, in our opinion, cannot be considered as thermodynamically satisfactory. The resolution of the negative entropy problem proposed in the literature is analyzed and it is shown that it cannot be considered as complete. The crisis with the thermal Casimir effect is stressed.

AB - The problem with the temperature dependence of the Casimir force is investigated. Specifically, the entropy behavior in the low temperature limit, which caused debates in the literature, is analyzed. It is stressed that the behavior of the relaxation frequency in the T0 limit does not play a physical role since the anomalous skin effect dominates in this range. In contrast with the previous works, where the approximate Leontovich impedance was used for analysis of nonlocal effects, we give description of the problem in terms of exact nonlocal impedances. It is found that the Casimir entropy is going to zero at T0 only in the case when s polarization does not contribute to the classical part of the Casimir force. However, the entropy approaching zero from the negative side that, in our opinion, cannot be considered as thermodynamically satisfactory. The resolution of the negative entropy problem proposed in the literature is analyzed and it is shown that it cannot be considered as complete. The crisis with the thermal Casimir effect is stressed.

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KW - IR-54416

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