Derivation of the Lifshitz-Matsubara sum formula for the Casimir pressure between metallic plane mirrors
arXiv:1404.7633 · doi:10.1103/PhysRevE.90.042125
Abstract
We carefully re-examine the conditions of validity for the consistent derivation of the Lifshitz-Matsubara sum formula for the Casimir pressure between metallic plane mirrors. We recover the usual expression for the lossy Drude model, but not for the lossless plasma model. We give an interpretation of this new result in terms of the modes associated with the Foucault currents which play a role in the limit of vanishing losses, in contrast to common expectations.
arXiv commentAccepted in Phys. Rev. E
References in corpus (26)
- The Casimir force between real materials: experiment and theory
- Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
- Observation of the thermal Casimir force
- Casimir force between metallic mirrors
- Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
- The Casimir effect within scattering theory
- Casimir-Lifshitz force out of thermal equilibrium
- Surface plasmon modes and the Casimir energy
- Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using atomic force microscope in a frequency shift technique
- Optical properties of gold films and the Casimir force
- The Casimir force and the quantum theory of lossy optical cavities
- Thermal corrections to the Casimir effect
- Investigation of the Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies
- Casimir force between partially transmitting mirrors
- Measurement of the gradient of the Casimir force between a nonmagnetic sphere and a magnetic plate
- Experiment and theory in the Casimir effect
- Surface Contact Potential Patches and Casimir Force Measurements
- The Role of Surface Plasmons in The Casimir Effect
- Modeling electrostatic patch effects in Casimir force measurements
- Roughness correction to the Casimir force at short separations: Contact distance and extreme value statistics
- Casimir interaction from magnetically coupled eddy currents
- Quantum dissipative Brownian motion and the Casimir effect
- Temperature Dependence of the Casimir Force
- Drude model and Lifshitz formula
- Lifshitz formula by spectral summation method
- Casimir-Foucault interaction: Free energy and entropy at low temperature
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