Interplay between geometry and temperature for inclined Casimir plates

Abstract

We provide further evidence for the nontrivial interplay between geometry and temperature in the Casimir effect. We investigate the temperature dependence of the Casimir force between an inclined semi-infinite plate above an infinite plate in D dimensions using the worldline formalism. Whereas the high-temperature behavior is always found to be linear in T in accordance with dimensional-reduction arguments, different power-law behaviors at small temperatures emerge. Unlike the case of infinite parallel plates, which shows the well-known T^D behavior of the force, we find a T^{D-1} behavior for inclined plates, and a ~T^{D-0.3} behavior for the edge effect in the limit where the plates become parallel. The strongest temperature dependence ~T^{D-2} occurs for the Casimir torque of inclined plates. Numerical as well as analytical worldline results are presented.

17 pages, 12 figures, revtex4

References in corpus (18)

• Casimir forces between arbitrary compact objects
• Casimir forces in a T operator approach
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Worldline algorithms for Casimir configurations
• Casimir Forces between Compact Objects: I. The Scalar Case
• Anomalies in electrostatic calibrations for the measurement of the Casimir force in a sphere-plane geometry
• Lateral Casimir force beyond the Proximity Force Approximation
• Thermal corrections to the Casimir effect
• Casimir edge effects
• Exact Casimir interaction between eccentric cylinders
• Multiple Scattering Methods in Casimir Calculations
• Comment on "Anomalies in electrostatic calibration for the measurement of the Casimir force in a sphere-plane geometry"
• The lateral Casimir force beyond the proximity force approximation: a nontrivial interplay between geometry and quantum vacuum
• Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation
• Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
• Exact Casimir Interaction Between Semitransparent Spheres and Cylinders
• Reply to "Comment on 'Anomalies in electrostatic calibrations for the measurement of the Casimir force in a sphere-plane geometry'"
• Geothermal Casimir Phenomena