摘要翻译：
我们回顾了最近在两种介质--电介质和金属之间以及金属和半导体之间--热卡西米尔力的物理研究中所取得的结果。详细推导了两个实介质板构型下Casimir自由能、压强和熵的低温行为。对于静态介电常数有限的电介质，证明了能斯特热定理是成立的。因此，范德华力和卡西米尔力的Lifshitz理论与热力学是一致的。证明了介质板的非零直流电导率会导致能斯特热定理的违反，因而与色散力现象无关。在一个金属和一个介质板的构型下，导出了Casimir自由能、压强和熵的低温渐近性。当介质板具有有限的静态介电常数时，结果与热力学一致。如果考虑了介质板的直流电导率，这将导致对能斯特热定理的违反。本文讨论了不同载流子密度下金属与半导体之间的Casimir相互作用的实验和理论结果。分析了文献中关于空间色散对热Casimir力可能影响的讨论。总之，只考虑频散的传统Lifshitz理论仍然是解释现有所有实验的可靠基础。
---
英文标题：
《Recent Results on Thermal Casimir Force between Dielectrics and Related
  Problems》
---
作者：
B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko
---
最新提交年份：
2007
---
分类信息：

一级分类：Physics        物理学
二级分类：Quantum Physics        量子物理学
分类描述：Description coming soon
描述即将到来
--
一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--
一级分类：Physics        物理学
二级分类：High Energy Physics - Theory        高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
--

---
英文摘要：
  We review recent results obtained in the physics of the thermal Casimir force acting between two dielectrics, dielectric and metal, and between metal and semiconductor. The detailed derivation for the low-temperature behavior of the Casimir free energy, pressure and entropy in the configuration of two real dielectric plates is presented. For dielectrics with finite static dielectric permittivity it is shown that the Nernst heat theorem is satisfied. Hence, the Lifshitz theory of the van der Waals and Casimir forces is demonstrated to be consistent with thermodynamics. The nonzero dc conductivity of dielectric plates is proved to lead to a violation of the Nernst heat theorem and, thus, is not related to the phenomenon of dispersion forces. The low-temperature asymptotics of the Casimir free energy, pressure and entropy are derived also in the configuration of one metal and one dielectric plate. The results are shown to be consistent with thermodynamics if the dielectric plate possesses a finite static dielectric permittivity. If the dc conductivity of a dielectric plate is taken into account this results in the violation of the Nernst heat theorem. We discuss both the experimental and theoretical results related to the Casimir interaction between metal and semiconductor with different charge carrier density. Discussions in the literature on the possible influence of spatial dispersion on the thermal Casimir force are analyzed. In conclusion, the conventional Lifshitz theory taking into account only the frequency dispersion remains the reliable foundation for the interpretation of all present experiments.
---
PDF链接：
https://arxiv.org/pdf/704.104