Universal Casimir interaction between two dielectric spheres in salted water

Abstract

We study the Casimir interaction between two dielectric spheres immersed in a salted solution at distances larger than the Debye screening length. The long distance behavior is dominated by the non-screened interaction due to low-frequency transverse magnetic thermal fluctuations. It shows universality properties in its dependence on geometric dimensions and independence of dielectric functions of the particles, with these properties related to approximate conformal invariance.

arXiv comment5 pages, 4 figures

References in corpus (10)

• Observation of the thermal Casimir force
• The Casimir effect within scattering theory
• Probing the Casimir force with optical tweezers
• Exact results for classical Casimir interactions: Dirichlet and Drude model in the sphere-sphere and sphere-plane geometry
• Proximity force approximation and specular reflection: Application of the WKB limit of Mie scattering to the Casimir effect
• Classical Casimir interaction in the plane-sphere geometry
• Probing the screening of the Casimir interaction with optical tweezers
• Scattering theory of the screened Casimir interaction in electrolytes
• Plane-wave approach to the exact van der Waals interaction between colloid particles
• Classical Casimir free energy for two Drude spheres of arbitrary radii: A plane-wave approach