Electrostatic patch effects in Casimir force experiments performed in the sphere-plane geometry
| Autor: | Behunin, R. O., Zeng, Y., Dalvit, D. A. R., Reynaud, S. |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 86, 052509 (2012) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.86.052509 |
| Popis: | Patch potentials arising from the polycrystalline structure of material samples may contribute significantly to measured signals in Casimir force experiments. Most of these experiments are performed in the sphere-plane geometry, yet, up to now all analysis of patch effects has been taken into account using the proximity force approximation which, in essence, treats the sphere as a plane. In this paper we present the exact solution for the electrostatic patch interaction energy in the sphere- plane geometry, and derive exact analytical formulas for the electrostatic patch force and minimizing potential. We perform numerical simulations to analyze the distance dependence of the minimizing potential as a function of patch size, and quantify the sphere-plane patch force for a particular patch layout. Once the patch potentials on both surfaces are measured by dedicated experiments our formulas can be used to exactly quantify the sphere-plane patch force in the particular experimental situation. Comment: 13 pages, 4 figures |
| Databáze: | arXiv |
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