Electrostatic Interaction due to Patch Potentials on Smooth Conducting Surfaces

Abstract

We evaluate the electrostatic interaction energy between two surfaces, one flat and the other slightly curved, in terms of the two-point autocorrelation functions for patch potentials on each one of them, and of a single function $\psi$ which defines the curved surface. The resulting interaction energy, a functional of $\psi$, is evaluated up to the second order in a derivative expansion approach. We derive explicit formulae for the coefficients of that expansion as simple integrals involving the autocorrelation functions, and evaluate them for some relevant patch-potential profiles and geometries

Minor changes, version to be published in Phys. Rev. A

References in corpus (7)

• Scaling and Suppression of Anomalous Quantum Decoherence in Ion Traps
• Temporal Extent of Surface Potentials between Closely Spaced Metals
• Electrostatic patch effects in Casimir force experiments performed in the sphere-plane geometry
• Derivative expansion of the electromagnetic Casimir energy for two thin mirrors
• Derivative expansion for the Casimir effect at zero and finite temperature in $d+1$ dimensions
• An improved proximity force approximation for electrostatics
• Fourth order perturbative expansion for the Casimir energy with a slightly deformed plate

Cited by in corpus (9)

• Casimir-Polder interaction for gently curved surfaces
• The derivative expansion approach to the interaction between close surfaces
• Casimir--Polder force between anisotropic nanoparticles and gently curved surfaces
• Electrostatic effect due to patch potentials between closely spaced surfaces
• On the Difference Between the Vacuum Casimir Energies for Grounded and Isolated Conductors
• Interplay of curvature and temperature in the Casimir-Polder interaction
• Radiation from a moving planar dipole layer: patch potentials vs dynamical Casimir effect
• Atom-surface interaction induced by quenched monopolar charge disorder
• Complex orientation dependence of Casimir-Polder interaction induced by curvature and optical properties of the surface and the surrounding medium