Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-03-28
Phys. Rev. B 85, 155410 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
29 pages, 11 figures, to appear in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.85.155410
So far there has been no reliable method to calculate the Casimir force at separations comparable to the root-mean-square of the height fluctuations of the surfaces. Statistical analysis of rough gold samples has revealed the presence of peaks considerably higher than the root-mean-square roughness. These peaks redefine the minimum separation distance between the bodies and can be described by extreme value statistics. Here we show that the contribution of the high peaks to the Casimir force can be calculated with a pairwise additive summation, while the contribution of asperities with normal height can be evaluated perturbatively. This method provides a reliable estimate of the Casimir force at short distances, and it solves the significant, so far unexplained discrepancy between measurements of the Casimir force between rough surfaces and the results of perturbation theory. Furthermore, we illustrate the importance of our results in a technologically relevant situation.
Broer Wijnand
Knoester Jasper
Palasantzas George
Svetovoy Vitaly B.
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