Casimir Interaction between a Plate and a Cylinder

T. Emig, R. L. Jaffe, M. Kardar, and A. Scardicchio
Phys. Rev. Lett. 96, 080403 – Published 1 March 2006

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 L/[H3ln(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.

  • Figure
  • Figure
  • Received 3 January 2006

DOI:https://doi.org/10.1103/PhysRevLett.96.080403

©2006 American Physical Society

Authors & Affiliations

T. Emig1, R. L. Jaffe2,3, M. Kardar3, and A. Scardicchio2,3

  • 1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany
  • 2Center for Theoretical Physics and Laboratory for Nuclear Science, Cambridge, Massachusetts 02139, USA
  • 3Department of Physics Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 8 — 3 March 2006

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×