Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders
arXiv:0711.1987 · doi:10.1103/PhysRevA.77.030101
Abstract
We analyze the Casimir force between two parallel infinite metal cylinders, with nearby metal plates (sidewalls), using complementary methods for mutual confirmation. The attractive force between cylinders is shown to have a nonmonotonic dependence on the separation to the plates. This intrinsically multi-body phenomenon, which occurs with either one or two sidewalls (generalizing an earlier result for squares between two sidewalls), does not follow from any simple two-body force description. We can, however, explain the nonmonotonicity by considering the screening (enhancement) of the interactions by the fluctuating charges (currents) on the two cylinders, and their images on the nearby plate(s). Furthermore, we show that this effect also implies a nonmonotonic dependence of the cylinder-plate force on the cylinder-cylinder separation.
5 pages, 4 figures
References in corpus (21)
- Repulsive Casimir forces
- Casimir interaction between a plate and a cylinder
- Casimir and van der Waals force between two plates or a sphere (lens) above a plate made of real metals
- Control of the Casimir force by the modification of dielectric properties with light
- The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
- Normal and Lateral Casimir Forces between Deformed Plates
- Quantum levitation by left-handed metamaterials
- On the Temperature Dependence of the Casimir Effect
- Exact Casimir interaction between eccentric cylinders
- Surface-impedance approach solves problems with the thermal Casimir force between real metals
- Precision measurement of the Casimir-Lifshitz force in a fluid
- Towards a precision measurement of the Casimir force in a cylinder-plane geometry
- Computation and visualization of Casimir forces in arbitrary geometries: non-monotonic lateral forces and failure of proximity-force approximations
- Virtual photons in imaginary time: Computing exact Casimir forces via standard numerical-electromagnetism techniques
- Geometry and Spectrum of Casimir Forces
- Casimir forces and non-Newtonian gravitation
- Present status of controversies regarding the thermal Casimir force
- New features of the thermal Casimir force at small separations
- Casimir force between eccentric cylinders
- Optical-approximation analysis of sidewall-spacing effects on the force between two squares with parallel sidewalls
- The Casimir zero-point radiation pressure
Cited by in corpus (28)
- A Materials Perspective on Casimir and van der Waals Interactions
- Scattering Theory Approach to Electrodynamic Casimir Forces
- Casimir repulsion between metallic objects in vacuum
- The proximity force approximation for the Casimir energy as a derivative expansion
- Casimir forces between cylinders and plates
- Repulsive, nonmonotonic Casimir forces in a glide-symmetric geometry
- Casimir forces in the time domain II: Applications
- Casimir force between sharp-shaped conductors
- Optomechanical and Photothermal Interactions in Suspended Photonic Crystal Membranes
- Many-body effects for critical Casimir forces
- Casimir Force at a Knife's Edge
- Dispersion Interactions between Optically Anisotropic Cylinders at all Separations: Retardation Effects for Insulating and Semiconducting Single Wall Carbon Nanotubes
- Three-body Casimir effects and non-monotonic forces
- Numerical evaluation of the Casimir interaction between cylinders
- Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries
- Three-body critical Casimir forces
- Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity
- Casimir interaction between inclined metallic cylinders
- Geometry and material effects in Casimir physics - Scattering theory
- Casimir micro-sphere diclusters and three-body effects in fluids
- Ingredients of a Casimir analog computer
- Calculation of nonzero-temperature Casimir forces in the time domain
- Effect of Curvature and Confinement on the Casimir-Polder Interaction
- Computing the Casimir energy using the point-matching method
- Casimir Forces via Worldline Numerics: Method Improvements and Potential Engineering Applications
- Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
- On the accuracy of the PFA: analogies between Casimir and electrostatic forces
- Fluctuational Electrodynamics in Atomic and Macroscopic Systems: van der Waals Interactions and Radiative Heat Transfer