Sign inversion in the lateral van der Waals force
- URL: http://arxiv.org/abs/2110.12027v2
- Date: Wed, 8 Jun 2022 09:19:08 GMT
- Title: Sign inversion in the lateral van der Waals force
- Authors: Edson C. M. Nogueira, Lucas Queiroz, Danilo T. Alves
- Abstract summary: We show that nontrivial geometric effects arise when we consider an anisotropic particle.
We predict that, as this ratio decreases, a sign inversion in the lateral vdW force can occur, in the sense that, instead of pointing to the protuberance, in certain situations the lateral force points to the opposite direction.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We consider a single slight protuberance in a perfectly conducting plane, and
investigate the van der Waals (vdW) interaction between this surface and a
neutral polarizable particle. When the protuberance is sufficiently smooth, so
that the proximity force approximation (PFA) is well applicable, for a fixed
distance of the particle from the plane, the lateral vdW force always points to
the protuberance. On the other hand, by making calculations valid beyond the
PFA, we show that nontrivial geometric effects arise when we consider an
anisotropic particle, and manipulate the ratio between the characteristic
widths of the protuberance and the fixed particle-plane distance. We predict
that, as this ratio decreases, a sign inversion in the lateral vdW force can
occur, in the sense that, instead of pointing to the protuberance, in certain
situations the lateral force points to the opposite direction. Moreover, we
show that even when such a sign inversion in the lateral vdW force does not
occur for a single protuberance, it can arise when two or more protuberances
are put together, distinguishing between sign inversions originated by
individual or collective effects. In addition, we show that all these effects
have their classical counterparts, involving a neutral particle with a
permanent electric dipole moment. The prediction of such geometric effects on
the lateral vdW force may be relevant for a better controlling of the
interaction between a particle and a corrugated surface in classical and
quantum physics.
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