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Paper IPM / Physic / 12586  


Abstract:  
Randomly charged netneutral dielectric slabs are shown to interact across a featureless dielectric continuum with longrange 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 longrange disordergenerated interaction extends well into the retarded regime where higherorder 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 nonmonotonic behavior for the total force between dissimilar slabs as a function of their separation distance is substantially modified by higherorder contributions, and in almost all cases of interest, we find that the equilibrium intersurface separation is shifted to substantially larger values compared to predictions based solely on the zerofrequency component. This suggests that the ensuing nonmonotonic 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 nonmonotonic behavior of the total force when the intervening slab contains a sufficiently large amount of disorder charges.
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