Casimir--Polder force between anisotropic nanoparticles and gently curved surfaces

Abstract

The Casimir--Polder interaction between an anisotropic particle and a surface is orientation dependent. We study novel orientational effects that arise due to curvature of the surface for distances much smaller than the radii of curvature by employing a derivative expansion. For nanoparticles we derive a general short distance expansion of the interaction potential in terms of their dipolar polarizabilities. Explicit results are presented for nano-spheroids made of SiO${}_2$ and gold, both at zero and at finite temperatures. The preferred orientation of the particle is strongly dependent on curvature, temperature, as well as material properties.

9 pages, 10 encapsulated figures

References in corpus (8)

• Casimir forces between arbitrary compact objects
• The Casimir effect within scattering theory
• Low velocity quantum reflection of Bose-Einstein condensates
• Casimir manipulations: The orientation dependence of fluctuation-induced forces
• Quantum reflection of helium atom beams from a microstructured grating
• Casimir-Polder interaction for gently curved surfaces
• Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation
• Small distance expansion for radiative heat transfer between curved objects

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• Nonequilibrium Casimir-Polder Interaction Between Nanoparticles and Substrates Coated with Gapped Graphene
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• Exact Casimir interaction of perfectly conducting three-spheres in four euclidean dimensions
• Large-Separation Behavior of the Casimir-Polder Force from Real Graphene Sheet Deposited on a Dielectric Substrate
• Wave-scattering from a gently curved surface
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