Numerical and analytical results for the two disks capacitor problem

Giampiero Paffuti

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arXiv · 1610.07074

Numerical and analytical results for the two disks capacitor problem

Giampiero Paffuti

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Abstract

In this paper we study the two disks capacitor, for equal and different radii. The new results obtained allow a complete characterization of capacity coefficients and forces at short distances. An extensive numerical calculation confirms the theoretical results. The study shows the existence of a hierarchy in the divergent behavior of the capacitance coefficients and this implies some unusual behavior of the forces, strictly related to the dimensionality of the near-contact zone between electrodes.

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Giampiero Paffuti. 2016-10-22. Numerical and analytical results for the two disks capacitor problem. https://arxiv.org/abs/1610.07074

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