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arXiv 1009.4032cond-mat.soft
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猝灭电荷无序产生的静电力的样品间涨落

Sample-to-sample fluctuations of electrostatic forces generated by quenched charge disorder

David S. Dean, Ali Naji, Rudolf Podgornik

摘要:

最近的研究表明,随机带电的表面即使是净中性的,也可以表现出长程静电相互作用。这些力取决于电荷无序的具体实现,因此表现出样品到样品关于其平均值的波动。我们分析了这些力的波动在平行板配置,也在球平面几何通过邻近力近似。精确地计算了具有有限平均值的法向力的波动。令人惊讶的是,我们还表明,横向力是存在的,尽管事实上,他们有一个零的平均值,他们的波动有相同的标度行为的法向力波动。这些横向力波动的测量可能有助于表征实验系统中电荷无序的影响,从而估计其大小,这与法向力测量结果互补。

英文摘要:

It has been recently shown that randomly charged surfaces can exhibit long range electrostatic interactions even when they are net neutral. These forces depend on the specific realization of charge disorder and thus exhibit sample to sample fluctuations about their mean value. We analyze the fluctuations of these forces in the parallel slab configuration and also in the sphere-plane geometry via the proximity force approximation. The fluctuations of the normal forces, that have a finite mean value, are computed exactly. Surprisingly, we also show that lateral forces are present, despite the fact that they have a zero mean, and that their fluctuations have the same scaling behavior as the normal force fluctuations. The measurement of these lateral force fluctuations could help to characterize the effects of charge disorder in experimental systems, leading to estimates of their magnitudes that are complementary to those given by normal force measurements.

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