Numerical and analytical results for the two discs capacitor problem | Zendy

Giampiero Paffuti | Zendy

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Numerical and analytical results for the two discs capacitor problem

Author(s) -

Giampiero Paffuti

Publication year - 2017

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2016.0792

Subject(s) - capacitor , capacitance , hierarchy , curse of dimensionality , characterization (materials science) , mechanics , electrode , computer science , physics , mathematics , voltage , optics , quantum mechanics , statistics , economics , market economy

In this paper, we study the two discs 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 behaviour of the capacitance coefficients and this implies some unusual behaviour of the forces, strictly related to the dimensionality of the nearcontact zone between electrodes

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