流体中扁球体的几何诱导Casimir悬浮
Geometry-induced Casimir suspension of oblate bodies in fluids
摘要：
我们预测，一个低介电常数的扁圆体（盘形物体）上面的薄金属基板（板与孔）浸在一个流体的中间介电常数将经历一个亚稳态平衡（回复力）附近的中心孔。稳定性是一个几何形状引起的过渡的力量的迹象，从排斥到吸引力，发生在磁盘接近孔-在平面或近平面的几何形状，相同的材料组合产生的排斥力在所有的分离根据Dzyaloshinskii-Lifshitz-Pitaevskii条件的流体引起的平面体之间的排斥。我们探讨了系统的稳定性相对于旋转和横向平移的磁盘，并展示有趣的转变（分叉）的磁盘的旋转稳定性作为其大小的函数。最后，我们考虑了相互的情况下，其中的盘-板材料互换，并发现在这种情况下，系统也表现出亚稳定性。系统中的力足够大，可以在实验中观察到，并且应该能够基于悬浮体的扩散动力学进行测量。
英文摘要：
We predict that a low-permittivity oblate body (disk-shaped object) above a thin metal substrate (plate with a hole) immersed in a fluidof intermediate permittivity will experience a meta-stable equilibrium (restoring force) near the center of the hole. Stability is the result of a geometry-induced transition in the sign of the force, from repulsive to attractive, that occurs as the disk approaches the hole---in planar or nearly-planar geometries, the same material combination yields a repulsive force at all separations in accordance with the Dzyaloshinskii--Lifshitz--Pitaevskii condition of fluid-induced repulsion between planar bodies. We explore the stability of the system with respect to rotations and lateral translations of the disks, and demonstrate interesting transitions (bifurcations) in the rotational stability of the disks as a function of their size. Finally, we consider the reciprocal situation in which the disk--plate materials are interchanged, and find that in this case the system also exhibits meta-stability. The forces in the system are sufficiently large to be observed in experiments and should enable measurements based on the diffusion dynamics of the suspended bodies.
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