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TMF, 2024 Volume 220, Number 3, Pages 578–590 (Mi tmf10726)

Exact solution of the problem of the interaction between a point charge and an insulator with nonlinear susceptibility

A. A. Belovab, M. A. Tintula, P. A. Polyakova

a Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia
b Faculty of Physics, Mathematics, and Natural Sciences, Peoples' Friendship University, Moscow, Russia

Abstract: We construct a new exact solution of the problem of a filament placed parallel to the interface between two insulators, one of which has a nonlinear susceptibility.

Keywords: electrostatics of insulators, nonlinear susceptibility, exact solution, quadratures.

Received: 21.03.2024
Revised: 01.05.2024

DOI: 10.4213/tmf10726


 English version:
Theoretical and Mathematical Physics, 2024, 220:3, 1556–1566

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© Steklov Math. Inst. of RAS, 2024