Peak, valley and intermediate regimes in the lateral van der Waals force

Abstract

We study the van der Waals (vdW) interaction between a polarizable particle and a grounded conducting corrugated surface. For sinusoidal corrugations, one knows that, under the action of the lateral vdW force, an isotropic particle is always attracted to the nearest corrugation peak, with such behavior called in the present paper as peak regime. Here, considering an anisotropic polarizable particle, and making analytical calculations valid beyond the proximity force approximation (PFA), we show that the attraction is not only toward the peaks, but, for certain particle orientations and distances from the surface, the lateral force attracts the particle to the nearest corrugation valley (valley regime), or even to an intermediate point between a peak and a valley (intermediate regime). We also show that in the configurations of transition between the peak and valley regimes the lateral vdW force vanishes, even in the presence of a corrugated surface. In addition, we find that these new regimes occur in general, for periodic and nonperiodic corrugated surfaces. Moreover, we demonstrate that similar regimes arise in the classical interaction between a neutral polarized particle and a rough surface. The description of these valley and intermediate regimes, which are out of reach of the predictions based on the PFA, may be relevant for a better understanding of the interaction between anisotropic particles and corrugated surfaces in classical and quantum physics, with experimental verifications feasible in both domains.

7 pages, 15 figures

References in corpus (7)

• Casimir interaction of dielectric gratings
• Probing quantum vacuum geometrical effects with cold atoms
• Quantum reflection of helium atom beams from a microstructured grating
• Lateral Casimir-Polder force with corrugated surfaces
• Dispersion Interactions between Neutral Atoms and the Quantum Electrodynamical Vacuum
• Fundamental limits to attractive and repulsive Casimir--Polder forces
• Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO${}_2$

Cited by in corpus (4)

• Probing topological phase transitions via quantum reflection in the graphene family materials
• Sign inversion in the lateral van der Waals force
• Regimes of the lateral van der Waals force in the presence of dielectrics
• Sign inversion in the lateral van der Waals force between an anisotropic particle and a plane with a hemispherical protuberance: an exact calculation