色散相互作用的普适标度律
Universal scaling laws for dispersion interactions
摘要：
我们研究了在非常一般的条件下色散势和力的标度行为。我们证明，将任意几何排列的尺度改变一个因子a，在长距离极限下，原子-原子势和原子-体势分别改变1/a^7和1/a^4，单位面积的卡西米尔力改变1/a^4。在短距离区域，电和磁的物体导致不同的标度行为。作为应用，我们给出了两个原子-体势的标度函数，并给出了平板辅助两原子势的等势线。
英文摘要：
We study the scaling behaviour of dispersion potentials and forces under very general conditions. We prove that a rescaling of an arbitrary geometric arrangement by a factor a changes the atom-atom and atom-body potentials in the long-distance limit by factors 1/a^7 and 1/a^4, respectively and the Casimir force per unit area by 1/a^4. In the short-distance regime, electric and magnetic bodies lead to different scaling behaviours. As applications, we present scaling functions for two atom-body potentials and display the equipotential lines of a plate-assisted two-atom potential.
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