Regimes of the lateral van der Waals force in the presence of dielectrics

• URL: http://arxiv.org/abs/2110.01105v2
• Date: Thu, 25 Nov 2021 10:44:56 GMT
• Title: Regimes of the lateral van der Waals force in the presence of dielectrics
• Authors: Lucas Queiroz, Edson C. M. Nogueira, Danilo T. Alves
• Abstract summary: A neutral anisotropic polarizable particle in vacuum can be attracted not only to the nearest corrugation peak, but also to a valley or an intermediate point between a peak and a valley. We show that when $epsilon_2epsilon_1$ the peak, valley and intermediate regimes have, unless numerical factors, behaviors similar to those found for the situation where the particle is in vacuum.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In a recent paper, it was shown that, under the action of the lateral van der Waals (vdW) force due to a perfectly conducting corrugated surface, a neutral anisotropic polarizable particle in vacuum can be attracted not only to the nearest corrugation peak, but also to a valley, or an intermediate point between a peak and a valley, with such behaviors called peak, valley and intermediate regimes, respectively. In the present paper, we investigate how these regimes are affected by the consideration of two non-dispersive semi-infinite dielectrics $\epsilon_{1}$ and $\epsilon_{2}$, separated by a corrugated interface. Specifically, we study the vdW interaction between a neutral anisotropic polarizable particle, embedded in the dielectric $\epsilon_{2}$, and the dielectric $\epsilon_{1}$. We show that when $\epsilon_{2}<\epsilon_{1}$ the peak, valley and intermediate regimes have, unless numerical factors, behaviors similar to those found for the situation where the particle is in vacuum and interacting with a conducting medium. For the case $\epsilon_{2}>\epsilon_{1}$, one might expect a mere permute between the peak and valley regimes, in comparison to the case $\epsilon_{2}<\epsilon_{1}$. Surprisingly, we find that when $\epsilon_{2}>\epsilon_{1}$ the regimes exhibit a very different and nontrivial behavior. Moreover, we show that similar regimes arise in the classical case involving a neutral polarized particle. The description of how the peak, valley and intermediate regimes are affected by the presence of dielectrics may be relevant for a better understanding of the interaction between anisotropic particles and corrugated surfaces.

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