Non-monotonic thermal Casimir force from geometry-temperature interplay
arXiv:1003.0430 · doi:10.1103/PhysRevLett.105.040403
Abstract
The geometry dependence of Casimir forces is significantly more pronounced in the presence of thermal fluctuations due to a generic geometry-temperature interplay. We show that the thermal force for standard sphere-plate or cylinder-plate geometries develops a non-monotonic behavior already in the simple case of a fluctuating Dirichlet scalar. In particular, the attractive thermal force can increase for increasing distances below a critical temperature. This anomalous behavior is triggered by a reweighting of relevant fluctuations on the scale of the thermal wavelength. The essence of the phenomenon becomes transparent within the worldline picture of the Casimir effect.
4 pages, 4 figures
References in corpus (14)
- 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 edge effects
- Virtual photons in imaginary time: Computing exact Casimir forces via standard numerical-electromagnetism techniques
- Multiple Scattering Methods in Casimir Calculations
- Thermal Casimir Effect in the Plane-Sphere Geometry
- Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation
- Vacuum energy between a sphere and a plane at finite temperature
- Exact Casimir Interaction Between Semitransparent Spheres and Cylinders
- Casimir Force at a Knife's Edge
- Interplay between geometry and temperature for inclined Casimir plates
- Edges and Diffractive Effects in Casimir Energies
- Geothermal Casimir Phenomena
- Geometry-Temperature Interplay in the Casimir Effect
Cited by in corpus (21)
- A Materials Perspective on Casimir and van der Waals Interactions
- Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
- Casimir interaction between a cylinder and a plate at finite temperature: Exact results and comparison to proximity force approximation
- Many-body effects for critical Casimir forces
- Vacuum polarization tensor in inhomogeneous magnetic fields
- Casimir Energy and Entropy in the Sphere--Sphere Geometry
- Proximity force approximation and specular reflection: Application of the WKB limit of Mie scattering to the Casimir effect
- Temperature-independent Casimir-Polder forces in arbitrary geometries
- Geothermal Casimir phenomena for the sphere-plate and cylinder-plate configurations
- Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries
- Three-body critical Casimir forces
- Disentangling geometric and dissipative origins of negative Casimir entropies
- Semiclassical Estimates of Electromagnetic Casimir Self-Energies of Spherical and Cylindrical Metallic Shells
- Casimir effect in the scattering approach: correlations between material properties, temperature and geometry
- Casimir-Polder energy level shifts of an out-of-equilibrium particle near a microsphere
- Calculation of nonzero-temperature Casimir forces in the time domain
- Casimir Energy and Entropy between perfect metal Spheres
- Casimir Interaction Between a Plane and a Sphere: Correction to the Proximity-Force Approximation at Intermediate Temperatures
- Worldline approach for numerical computation of electromagnetic Casimir energies. I. Scalar field coupled to magnetodielectric media
- Casimir interaction of concentric spheres at finite temperature
- Casimir interaction between two concentric cylinders at nonzero temperature