Correlation between plasma and temperature corrections to the Casimir force

Abstract

When comparing experimental results with theoretical predictions of the Casimir force, the accuracy of the theory is as important as the precision of experiments. Here we evaluate the Casimir force when finite conductivity of the reflectors and finite temperature are simultaneously taken into account. We show that these two corrections are correlated, i.e. that they can not, in principle, be evaluated separately and simply multiplied. We estimate the correlation factor which measures the deviation from this common approximation. We focus our attention on the case of smooth and plane plates with a metallic optical response modeled by a plasma model.

6 pages, 2 figures

References in corpus (1)

• New Developments in the Casimir Effect

Cited by in corpus (14)

• Violation of the Nernst heat theorem in the theory of thermal Casimir force between Drude metals
• Does the Transverse Electric Zero Mode Contribute to the Casimir Effect for a Metal?
• Influence of slab thickness on the Casimir force
• Surface-impedance approach solves problems with the thermal Casimir force between real metals
• Correlation of energy and free energy for the thermal Casimir force between real metals
• Towards a precision measurement of the Casimir force in a cylinder-plane geometry
• Casimir forces and non-Newtonian gravitation
• The Role of Surface Plasmons in The Casimir Effect
• The lateral Casimir force beyond the proximity force approximation: a nontrivial interplay between geometry and quantum vacuum
• Casimir force between eccentric cylinders
• Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry
• Thermal and dissipative effects in Casimir physics
• Calculation of nonzero-temperature Casimir forces in the time domain
• Recent Experiments on the Casimir Effect: Description and Analysis