Casimir interaction between two concentric cylinders at nonzero temperature
arXiv:1108.0493 · doi:10.1209/0295-5075/96/10006
Abstract
We study the finite temperature Casimir interaction between two concentric cylinders. When the separation between the cylinders is much smaller than the radii of the cylinders, the asymptotic expansions of the Casimir interaction are derived. Both the low temperature and the high temperature regions are considered. The leading terms are found to agree with the proximity force approximations. The low temperature leading term of the temperature correction is also computed and it is found to be independent of the boundary conditions imposed on the larger cylinder.
6 pages, 1 figure
References in corpus (17)
- The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
- Exact Casimir interaction between eccentric cylinders
- Casimir interaction between plane and spherical metallic surfaces
- Casimir force for a sphere in front of a plane beyond Proximity Force Approximation
- Thermal Casimir effect for Drude metals in the plane-sphere geometry
- Exploring the quantum vacuum with cylinders
- On the Casimir entropy for a ball in front of a plane
- Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry
- Casimir interaction between a cylinder and a plate at finite temperature: Exact results and comparison to proximity force approximation
- Casimir interaction between a dielectric nanosphere and a metallic plane
- Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation
- Numerical evaluation of the Casimir interaction between cylinders
- Geothermal Casimir phenomena for the sphere-plate and cylinder-plate configurations
- Casimir energy between media-separated cylinders: the scalar case
- Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator
- Strengthening constraints on Yukawa-type corrections to Newtonian gravity from measuring the Casimir force between a cylinder and a plate
- Scalar Casimir densities for cylindrically symmetric Robin boundaries