What is the Temperature Dependence of the Casimir Effect?

Abstract

There has been recent criticism of our approach to the Casimir force between real metallic surfaces at finite temperature, saying it is in conflict with the third law of thermodynamics and in contradiction with experiment. We show that these claims are unwarranted, and that our approach has strong theoretical support, while the experimental situation is still unclear.

6 pages, REVTeX, final revision includes two new references and related discussion

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• Conductivity of dielectric and thermal atom-wall interaction
• Casimir forces and non-Newtonian gravitation
• Analytical and Numerical Verification of the Nernst Theorem for Metals
• Thermal Casimir effect in the interaction of graphene with dielectrics and metals
• Kramers-Kronig relations for plasma-like permittivities and the Casimir force
• Lifshitz theory of atom-wall interaction with applications to quantum reflection
• Experimental approaches to the difference in the Casimir force through the varying optical properties of boundary surface
• Johnson noise and the thermal Casimir effect
• Thermal correction to the Casimir force, radiative heat transfer, and an experiment
• Impact of surface imperfections on the Casimir force for lenses of centimeter-size curvature radii
• Generalized plasma-like permittivity and thermal Casimir force between real metals
• Magnetic materials and the problem of thermal Casimir force
• Temperature dependent graphene suspension due to thermal Casimir interaction
• Achieving a Strongly Temperature-Dependent Casimir Effect
• Comment on ``Precision measurement of the Casimir-Lifshitz force in a fluid''
• Problems in the Lifshitz Theory of Atom-Wall Interaction
• Analytical and Numerical Demonstration of How the Drude Dispersive Model Satisfies Nernst's Theorem for the Casimir Entropy
• Casimir Force on Real Materials - the Slab and Cavity Geometry
• The Nernst heat theorem for an atom interacting with graphene: Dirac model with nonzero energy gap and chemical potential
• Casimir Energies: Temperature Dependence, Dispersion, and Anomalies
• Casimir entropy and nonlocal response functions to the off-shell quantum fluctuations
• Concerning verification of the Nernst theorem for Casimir-Lifshitz free energy
• Finite Temperature Casimir Effect for a Massless Fractional Klein-Gordon field with Fractional Neumann Conditions
• Evaluation of the Casimir Force for a Dielectric-diamagnetic Cylinder with Light Velocity Conservation Condition and the Analogue of Sellmeir's Dispersion Law
• Plasma model and Drude model permittivities in Lifshitz formula
• Calculation of nonzero-temperature Casimir forces in the time domain
• Van der Waals forces and spatial dispersion
• Casimir Force between a Half-Space and a Plate of Finite Thickness
• On the high temperature limit of the Casimir energy
• Recent solution to the Casimir puzzle awaits its experimental confirmation
• Size quantization effects in thin film Casimir interaction