论文标题
在各向异性粒子和具有半球突起的平面之间的侧面范德华的符号反转：精确计算
Sign inversion in the lateral van der Waals force between an anisotropic particle and a plane with a hemispherical protuberance: an exact calculation
论文作者
论文摘要
我们研究了各向异性极化粒子和带有半径$ r $的半球突起的完美导电平面之间的横向范德华（VDW）力。通过精确的计算，我们预测横向VDW力中的符号反转，从某种意义上说，在某些情况下，这种力指向相反的方向，而不是指向突起。在文献中，横向VDW力中符号反转的预测基于扰动溶液，与粒子和平面之间的距离相比，当突起的高度非常小时，有效。在这里，考虑到精确的公式，我们研究了这种非平凡的几何效应如何取决于比率$ r/z_0 $，以及粒子方向和各向异性如何影响此符号反演。
We investigate the lateral van der Waals (vdW) force between an anisotropic polarizable particle and a perfectly conducting plane with a hemispherical protuberance with radius $R$. We predict, via an exact calculation, a sign inversion in the lateral vdW force, in the sense that, instead of pointing to the protuberance, in certain situations this force points to the opposite direction. In the literature, predictions of sign inversions in the lateral vdW force were based on perturbative solutions, valid when the height of the protuberance is very small when compared to the distance $z_0$ between the particle and the plane. Here, taking into account exact formulas, we investigate how such nontrivial geometric effect depends on the ratio $R/z_0$, and how the particle orientation and anisotropy affect this sign inversion.
