随机带电平板中电磁涨落引起的相互作用
Electromagnetic fluctuation-induced interactions in randomly charged slabs
摘要：
随机带电的净中性电介质板被示出为与长程静电力的尺度与其猝灭的随机电荷分布的统计方差和与它们的边界表面之间的距离成反比的无特征电介质连续体相互作用。通过占整个频谱的电磁场波动，我们表明，这种长距离的无序产生的相互作用延伸到推迟制度，高阶松原频率的贡献显着。这甚至发生在只有微量电荷无序的高度清洁的样品中，并且表明无序效应可以重要到纳米尺度。其结果是，先前预测的非单调行为的总力之间的不同的板作为其分离距离的函数大幅修改高阶的贡献，并在几乎所有的情况下，我们发现，平衡表面间的分离转移到更大的值相比，预测仅基于零频率分量。这表明，随之而来的非单调的相互作用是更容易服从实验检测。在两个平板之间的介电介质中的电荷无序的存在被示出为导致一个额外的力，该力可以是排斥性的或吸引性的，这取决于系统参数，并且可以，例如，当居间平板包含足够大量的无序电荷时，洗掉总力的非单调行为。
英文摘要：
Randomly charged net-neutral dielectric slabs are shown to interact across a featureless dielectric continuum with long-range electrostatic forces that scale with the statistical variance of their quenched random charge distribution and inversely with the distance between their bounding surfaces. By accounting for the whole spectrum of electromagnetic field fluctuations, we show that this long-range disorder-generated interaction extends well into the retarded regime where higher-order Matsubara frequencies contribute significantly. This occurs even for highly clean samples with only a trace amount of charge disorder and shows that disorder effects can be important down to the nano scale. As a result, the previously predicted non-monotonic behavior for the total force between dissimilar slabs as a function of their separation distance is substantially modified by higher-order contributions, and in almost all cases of interest, we find that the equilibrium inter-surface separation is shifted to substantially larger values compared to predictions based solely on the zero-frequency component. This suggests that the ensuing non-monotonic interaction is more easily amenable to experimental detection. The presence of charge disorder in the intervening dielectric medium between the two slabs is shown to lead to an additional force that can be repulsive or attractive depending on the system parameters and can, for instance, wash out the non-monotonic behavior of the total force when the intervening slab contains a sufficiently large amount of disorder charges.
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