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In this paper we study the two disks capacitor, for equal and differentradii. The new results obtained allow a complete characterization of capacitycoefficients and forces at short distances. An extensive numerical calculationconfirms the theoretical results. The study shows the existence of a hierarchyin the divergent behavior of the capacitance coefficients and this implies someunusual behavior of the forces, strictly related to the dimensionality of thenear-contact zone between electrodes.

Numerical and analytical results for the two disks capacitor problem