Casimir interaction between a plate and a cylinder

Details Casimir interaction between a plate and a cylinder Casimir interaction between a plate and a cylinder

2006-01-03

arxiv.org/abs/cond-mat/0601055v1

Phys.Rev.Lett. 96 (2006) 080403

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.96.080403

We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate--sphere, where it is known at large separations. The force has an unexpectedly weak decay \sim L/(H^3 \ln(H/R)) at large plate--cylinder separations H (L and R are the cylinder length and radius), due to transverse magnetic modes. Path integral quantization with a partial wave expansion additionally gives a qualitative difference for the density of states of electric and magnetic modes, and corrections at finite temperatures.

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