Casimir interaction between a plate and a cylinder

T. Emig 1, 2, R. L. Jaffe 3, 4, M. Kardar 4, A. Scardicchio 3, 4

Physical Review Letters 96 (2006) 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.

  • 1. Institut für Theoretische Physik,
    Universität zu Köln
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 3. Center for Theoretical Physics and Laboratory for Nuclear Science,
    Center for Theoretical Physics and Laboratory for Nuclear Science
  • 4. Department of Physics Massachusetts Institute of Technology,
    Massachusetts Institute of Technology