An improved proximity force approximation for electrostatics
نویسندگان
چکیده
منابع مشابه
Lateral Casimir force beyond the proximity-force approximation.
We argue that the appropriate variable to study a nontrivial geometry dependence of the Casimir force is the lateral component of the Casimir force, which we evaluate between two corrugated metallic plates outside the validity of the proximity-force approximation. The metallic plates are described by the plasma model, with arbitrary values for the plasma wavelength, the plate separation, and th...
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We compute Casimir interaction energies for the sphere-plate and cylinder-plate configuration induced by scalar-field fluctuations with Dirichlet boundary conditions. Based on a high-precision calculation using world-line numerics, we quantitatively determine the validity bounds of the proximity-force approximation (PFA) on which the comparison between all corresponding experiments and theory a...
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In this note, we point out that the proximity condition proposed in [8] can be weakened. We reprove the “Proximity ⇒ Smoothness” theorem under the so-called weak proximity condition. This improvement is embarrassingly trivial; and appears to be just an artifact of the authors overlooking a detail during the writing of [8]. But this raises a question: the unnecessarily strong proximity condition...
متن کاملExperimental investigation of the Casimir force beyond the proximity-force approximation.
The analysis of all Casimir force experiments using a sphere-plate geometry requires the use of the proximity-force approximation (PFA) to relate the Casimir force between a sphere and a flat plate to the Casimir energy between two parallel plates. Because it has been difficult to assess the PFA's range of applicability theoretically, we have conducted an experimental search for corrections to ...
متن کاملRoughness correction to the Casimir force : Beyond the Proximity Force Approximation
– We calculate the roughness correction to the Casimir effect as a second order perturbation of the parallel plates geometry. The metallic plates are described by the plasma model, with arbitrary values for the plasma wavelength, the plate separation and the roughness spectrum. The roughness correction is always larger than the result obtained in the Proximity Force Approximation. We derive sca...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2012
ISSN: 0003-4916
DOI: 10.1016/j.aop.2012.04.006