Casimir Forces in Multi-Sphere Configurations

Details Casimir Forces in Multi-Sphere Configurations Casimir Forces in Multi-Sphere Configurations

2009-09-17

arxiv.org/abs/0909.3285v2

J. Phys. A 43, 215402 (2010).

Physics

Quantum Physics

19 pages, 5 figures; references added, typos fixed, text clarified in places, last section rewritten.

Scientific paper

10.1088/1751-8113/43/21/215402

We calculate the Casimir force on an isolated dielectric sphere in an ensemble of $N$ spheres due to multiple mutual interactions of the collection of spheres. In particular we consider dielectric spheres immersed in some other background dielectric. As an example, the Casimir force between two and three spheres at zero and finite temperature is evaluated. For a very large number of spheres, we consider a large-$N$ scaling limit of the Casimir force.

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