Klimchitskaya, G. L.; Blagov, E. V.; Mostepanenko, V. M. Problems in the Lifshitz theory of atom-wall interaction. (English) Zbl 1170.81408 Int. J. Mod. Phys. A 24, No. 8-9, 1777-1788 (2009). Summary: Problems in the Lifshitz theory of atom-wall interaction arise when the dc conductivity of dielectric wall is included into the model of the dielectric response. We review the low-temperature behavior of the free energy and entropy of dispersion interaction for both dielectric and metallic walls. Consistency of the obtained results with thermodynamics and experimental data is analyzed. Recent attempts to include the screening effects and diffusion currents into the Lifshitz theory are considered. It is shown that this leads to the violation of the Nernst heat theorem for wide classes of wall materials. The physical reasons for the emergence of thermodynamic and experimental inconsistencies are elucidated. Cited in 1 Document MSC: 81T05 Axiomatic quantum field theory; operator algebras 81T99 Quantum field theory; related classical field theories 80A10 Classical and relativistic thermodynamics Keywords:Casimir–Polder force; screening effects; Nernst’s heat theorem PDFBibTeX XMLCite \textit{G. L. Klimchitskaya} et al., Int. J. Mod. Phys. A 24, No. 8--9, 1777--1788 (2009; Zbl 1170.81408) Full Text: DOI arXiv References: [1] DOI: 10.1017/CBO9780511614606 [2] DOI: 10.1103/PhysRevA.70.042901 [3] DOI: 10.1103/PhysRevA.70.053619 [4] DOI: 10.1103/PhysRevA.71.042901 [5] DOI: 10.1103/PhysRevLett.98.063201 [6] DOI: 10.1103/PhysRevA.78.042901 [7] DOI: 10.1080/00107510600693683 [8] DOI: 10.1103/PhysRevLett.101.163202 [9] DOI: 10.1103/PhysRevLett.101.163203 [10] DOI: 10.1103/PhysRevLett.101.163603 [11] Lifshitz E. M., Statistical Physics (1984) [12] DOI: 10.1088/1751-8113/41/43/432001 · Zbl 1151.81409 [13] DOI: 10.1007/978-3-662-02403-4 [14] DOI: 10.1088/1751-8113/41/16/164032 · Zbl 1153.82029 [15] DOI: 10.1016/B978-0-08-054721-3.50037-X [16] DOI: 10.1103/PhysRevD.72.085009 [17] DOI: 10.1142/S0217751X06034227 · Zbl 1113.81125 [18] DOI: 10.1016/j.aop.2007.04.005 · Zbl 1139.81059 [19] DOI: 10.1103/PhysRevA.67.062102 [20] DOI: 10.1134/S1063783408020029 [21] DOI: 10.1088/0305-4470/39/20/026 [22] DOI: 10.1103/PhysRevE.73.028101 [23] DOI: 10.1103/PhysRevLett.95.113202 [24] DOI: 10.1088/1751-8113/41/31/312002 · Zbl 1149.81379 [25] DOI: 10.1007/978-1-4612-1762-6 [26] DOI: 10.1088/1751-8113/41/16/164018 · Zbl 1137.81389 [27] DOI: 10.1103/PhysRevA.69.022119 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.