Open AccessGrowth of nonlinear structures on the interface between dielectric liquids in a strong vertical electric field
Author(s) -
E. A. Kochurin,
O. V. Zubareva,
Н. М. Зубарев
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1268/1/012026
Subject(s) - harmonics , nonlinear system , electric field , dielectric , permittivity , fourier series , plane (geometry) , field (mathematics) , classical mechanics , equations of motion , physics , quadratic growth , mathematical analysis , mathematics , geometry , quantum mechanics , voltage , pure mathematics
Nonlinear dynamics of the interface between dielectric liquids exposed to a strong vertical electric field is studied. Two types of exact solutions for quadratically nonlinear equations of motion (periodic solutions involving a finite number of Fourier harmonics and spatially localized rational solutions) are analyzed. Description of the interfacial evolution reduces to solving a finite number of ordinary differential equations either on amplitudes of harmonics, or, through the analytical continuation into the complex plane from the interface, for the poles motion. The common property of the solutions is a tendency for the growth of interface perturbations in the direction of the liquid with a lower permittivity.