On overturn of two-dimensional nonlinear plasma oscillations

Abstract

AbstractThe stability problem for spatial structure of plasma oscillations in the process of their dynamics is studied in the paper analytically (by perturbation methods) and numerically. It is shown that if the initial perturbation possesses a local symmetry, then an overturn of oscillations appears simultaneously on a circumference of some nonzero radius. If cross-sections of the initial perturbation of the electron density are ellipses, then a singularity of the electron density appears simultaneously too, but only at two spatial points.The results of calculations performed in the Supercomputing Center ‘Chebyshev’ of Lomonosov Moscow State University using a hybrid parallel code are presented. The results are in a good agreement with analytic calculations and computations with one-dimensional models.