Universal Casimir interactions in the sphere-sphere geometry

Abstract

We study universal Casimir interactions in two configurations which appear as dual to each other. The first involves spheres described by the Drude model and separated by vacuum while the second involves dielectric spheres immersed in a salted solution at distances larger than the Debye screening length. In both cases, the long-distance limit, equivalently the high-temperature limit, is dominated by the effect of low-frequency transverse magnetic thermal fluctuations. They are independent of the details of dielectric functions of materials, due to the finite conductivity of metals in the former case and of salted water in the latter one. They also show universality properties in their dependence on geometric dimensions, in relation to an approximate conformal invariance of the reduced free energy.

arXiv comment14 pages, 9 figures

References in corpus (30)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Observation of the thermal Casimir force
• The Casimir effect within scattering theory
• The Casimir effect: from quantum to critical fluctuations
• Theory of Optical Tweezers
• Casimir energy between a plane and a sphere in electromagnetic vacuum
• Statistics of Particle Trajectories at Short Time Intervals Reveal fN-Scale Colloidal Forces
• Repulsive Casimir forces between solid materials with high refractive index intervening liquids
• Determinants of Block Tridiagonal Matrices
• Casimir Forces between Spherical Particles in a Critical Fluid and Conformal Invariance
• Thermal Casimir Effect in the Plane-Sphere Geometry
• Nonadditivity of Critical Casimir Forces
• Probing the Casimir force with optical tweezers
• Resource Letter VWCPF-1: Van der Waals and Casimir-Polder forces
• Exact results for classical Casimir interactions: Dirichlet and Drude model in the sphere-sphere and sphere-plane geometry
• Casimir effect between two spheres at small separations
• 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
• Probing the screening of the Casimir interaction with optical tweezers
• Classical Casimir interaction in the plane-sphere geometry
• Scattering theory of the screened Casimir interaction in electrolytes
• Derivation of the Lifshitz-Matsubara sum formula for the Casimir pressure between metallic plane mirrors
• Beyond-PFA Casimir Force between two spheres at finite temperature
• Geometric origin of negative Casimir entropies: A scattering-channel analysis
• Plane-wave approach to the exact van der Waals interaction between colloid particles
• Casimir Free Energy at High Temperatures: Grounded vs Isolated Conductors
• Beyond-proximity-force-approximation Casimir force between two spheres at finite temperature II: plasma versus Drude modeling, grounded versus isolated spheres
• Double-layer force suppression between charged microspheres
• Classical Casimir free energy for two Drude spheres of arbitrary radii: A plane-wave approach
• Finite temperature Casimir interaction between spheres in $(D+1)$-dimensional spacetime: Exact computations and asymptotic expansions

Cited by in corpus (4)

• Universal Casimir attraction between filaments at the cell scale
• High-accuracy Casimir-Polder force calculations using the Discontinuous Galerkin Time-Domain method
• Switching the sign of the Casimir force between two PEMC spheres
• Casimir effect with dielectric matter in salted water and implications at the cell scale