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Condensed Matter > Statistical Mechanics

Title: Casimir interaction between a plate and a cylinder

Abstract: 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.
Comments: 4 pages, 3 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
Journal reference: Phys.Rev.Lett. 96 (2006) 080403
DOI: 10.1103/PhysRevLett.96.080403
Cite as: arXiv:cond-mat/0601055 [cond-mat.stat-mech]
  (or arXiv:cond-mat/0601055v1 [cond-mat.stat-mech] for this version)

Submission history

From: Thorsten Emig [view email]
[v1] Tue, 3 Jan 2006 18:55:42 GMT (79kb)