Low temperature Casimir-Lifshitz free energy and entropy: the case of poor conductors - Quantum PhysicsReport as inadecuate




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Abstract: The controversy concerning the temperature correction to the Casimir forcehas been ongoing for almost a decade with no view to a solution and hasrecently been extended to include semiconducting materials. We review sometheoretical aspects of formal violations of Nernst-s heat theorem in thecontext of Casimir Lifshitz thermodynamics and the role of the exponent of theleading term of the dielectric permittivity with respect to imaginaryfrequency. A general formalism for calculating the temperature corrections tofree energy at low temperatures is developed for systems which do not exhibitsuch anomalies, and the low temperature behaviour of the free energy in a gapbetween half-spaces of poorly conducting materials modelled with a Drude typepermittivity is calculated.



Author: Simen A. Ådnøy Ellingsen, Iver Brevik, Johan S. Høye, Kimball A. Milton

Source: https://arxiv.org/







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