Casimir interaction of concentric spheres at finite temperature
arXiv:1105.2400 · doi:10.1103/PhysRevD.84.025014
Abstract
We consider the finite temperature Casimir effect between two concentric spheres due to the vacuum fluctuations of the electromagnetic field in the -dimensional Minkowski spacetime. Different combinations of perfectly conducting and infinitely permeable boundary conditions are imposed on the spheres. The asymptotic expansions of the Casimir free energies when the dimensionless parameter $\vep$, the ratio of the distance between the spheres to the radius of the smaller sphere, is small are derived in both the high temperature region and the low temperature region. It is shown that the leading terms agree with those obtained using the proximity force approximation, which are of order $T\vep^{1-D}$ in the high temperature region and of order $\vep^{-D}$ in the low temperature region. Some universal structures are observed in the next two correction terms. The leading terms of the thermal corrections in the low temperature region are also derived. They are found to be finite when $\vep\rightarrow 0^+$, and are of order .
arXiv comment19 pages, version accepted by Phys. Rev. D
References in corpus (51)
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- The Casimir force between real materials: experiment and theory
- The Casimir effect: Recent controversies and progress
- Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
- Casimir forces between arbitrary compact objects
- Scattering Theory Approach to Electrodynamic Casimir Forces
- Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
- Casimir interaction between a plate and a cylinder
- Casimir Effect on the Worldline
- 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
- Casimir energies for massive fields in the bag
- Casimir effect for curved geometries: PFA validity limits
- Casimir effect for a -dimensional sphere
- Worldline algorithms for Casimir configurations
- Casimir Forces between Compact Objects: I. The Scalar Case
- Theory confronts experiment in the Casimir force measurements: quantification of errors and precision
- Exact Casimir interaction between eccentric cylinders
- Casimir forces between cylinders and plates
- Casimir interaction between plane and spherical metallic surfaces
- Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles
- Exact zero-point interaction energy between cylinders
- Casimir force for a sphere in front of a plane beyond Proximity Force Approximation
- Simple method for calculating the Casimir energy for sphere
- Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries
- Casimir Energies for Spherically Symmetric Cavities
- Recent Developments in the Casimir Effect
- Vector Casimir effect for a D-dimensional sphere
- Casimir forces between arbitrary compact objects: Scalar and electromagnetic field
- Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models
- On the Casimir entropy for a ball in front of a plane
- Vacuum energy between a sphere and a plane at finite temperature
- High temperature asymptotics of thermodynamic functions of electromagnetic field subjected to boundary conditions on a sphere and cylinder
- The Casimir Problem of Spherical Dielectrics: Quantum Statistical and Field Theoretical Approaches
- Casimir Energy of a Spherical Shell
- Non-monotonic thermal Casimir force from geometry-temperature interplay
- Interplay between geometry and temperature for inclined Casimir plates
- Spinor Casimir effect for concentric spherical shells in the global monopole spacetime
- Casimir stress for concentric spheres in de Sitter space
- Finite temperature Casimir effect in piston geometry and its classical limit
- Conical Casimir Pistons with Hybrid Boundary Conditions
- Casimir densities for two concentric spherical shells in the global monopole spacetime
- The Casimir Effect for Conical Pistons
- Casimir interactions of an object inside a spherical metal shell
- Geothermal Casimir phenomena for the sphere-plate and cylinder-plate configurations
- Zeta function for the Laplace operator acting on forms in a ball with gauge boundary conditions
- Casimir energy between media-separated cylinders: the scalar case
- Possibility to measure thermal effects in the Casimir force
- Finite temperature Casimir effect for scalar field with Robin boundary conditions in spacetime with extra dimensions
- Casimir effect of electromagnetic field in D-dimensional spherically symmetric cavities
- Casimir potential of a compact object enclosed by a spherical cavity