Interplay between geometry and temperature for inclined Casimir plates
arXiv:0906.2313 · doi:10.1103/PhysRevD.80.065033
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 (48)
- New Developments in the Casimir Effect
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- Perturbative Quantum Field Theory in the String-Inspired Formalism
- Field Theory Without Feynman Diagrams: One-Loop Effective Actions
- Casimir forces between arbitrary compact objects
- Opposites Attract - A Theorem About The Casimir Force
- Improved tests of extra-dimensional physics and thermal quantum field theory from new Casimir force measurements
- Casimir interaction between a plate and a cylinder
- Constraining New Forces in the Casimir Regime Using the Isoelectronic Technique
- Dispersion forces in macroscopic quantum electrodynamics
- 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
- Probing the Strong Boundary Shape Dependence of the Casimir Force
- Casimir effect for curved geometries: PFA validity limits
- Scalar Casimir effect between Dirichlet spheres or a plate and a sphere
- On the Calculation of Effective Actions by String Methods
- Worldline algorithms for Casimir configurations
- Casimir Forces between Compact Objects: I. The Scalar Case
- The Casimir Effect and Geometric Optics
- 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
- Casimir Effects: An Optical Approach I. Foundations and Examples
- Casimir Effect: The Classical Limit
- Casimir forces and non-Newtonian gravitation
- Multiple Scattering Methods in Casimir Calculations
- Exact zero-point interaction energy between cylinders
- Comment on "Anomalies in electrostatic calibration for the measurement of the Casimir force in a sphere-plane geometry"
- Present status of controversies regarding the thermal Casimir force
- Quantum diffusion of magnetic fields in a numerical worldline approach
- Casimir Effects: an Optical Approach II. Local Observables and Thermal Corrections
- 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
- Loops and loop clouds - a numerical approach to the worldline formalism in QED -
- Towards a Theory of Molecular Forces between Deformed Media
- Bohr-van Leeuwen theorem and the thermal Casimir effect for conductors
- Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
- Exact Casimir Interaction Between Semitransparent Spheres and Cylinders
- Casimir energy of a dilute dielectric ball with uniform velocity of light at finite temperature
- Quantum energies with worldline numerics
- Quantum effective actions from nonperturbative worldline dynamics
- Reply to "Comment on 'Anomalies in electrostatic calibrations for the measurement of the Casimir force in a sphere-plane geometry'"
- Casimir interaction between normal or superfluid grains in the Fermi sea
- Geothermal Casimir Phenomena
- Casimir effect for a dilute dielectric ball at finite temperature
Cited by in corpus (26)
- Casimir force between sharp-shaped conductors
- Vacuum energy between a sphere and a plane at finite temperature
- Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry
- Casimir Force at a Knife's Edge
- Non-monotonic thermal Casimir force from geometry-temperature interplay
- Critical Casimir torques and forces acting on needles in two spatial dimensions
- Geothermal Casimir phenomena for the sphere-plate and cylinder-plate configurations
- Edges and Diffractive Effects in Casimir Energies
- Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries
- Edge effects in electrostatic calibrations for the measurement of the Casimir force
- Geometry and material effects in Casimir physics - Scattering theory
- Geometry-Temperature Interplay in the Casimir Effect
- Edge Corrections to Electromagnetic Casimir Energies From General-Purpose Mathieu Function Routines
- Energy-momentum tensors with worldline numerics
- Casimir interaction of rod-like particles in a two-dimensional critical system
- Diffractive Effects and General Boundary Conditions in Casimir Energy
- Electromagnetic Casimir Energies of Semi-Infinite Planes
- On the Temperature Dependence of the Casimir Force for Bulk Lossy Media
- Worldline approach for numerical computation of electromagnetic Casimir energies. I. Scalar field coupled to magnetodielectric media
- Thermal diffractive corrections to Casimir energies
- Local thermal behaviour of a massive scalar field near a reflecting wall
- Casimir interaction of concentric spheres at finite temperature
- Monte Carlo generation of localised particle trajectories
- Exact Electromagnetic Casimir Energy of a Disk Opposite a Plane
- Casimir effect: Edges and diffraction
- Tangential Casimir force in the misaligned system: Magnetic media, real conductors, and a torque