Plasma Crystal as a Time Crystal

Abstract

The nonlinear development stage is studied of the instability of coupled waves in the planar plasma crystal in the external confining force field. It is assumed that the particles are located in plasma consisting of the Maxwellian electrons and the directed flow of cold ions. It is demonstrated that the effect of nonlinearity results either in acceleration of the instability development or in the formation of a time crystal consisting of one or three stable waves. In the space of external parameters, the domains of existence of different phases are constructed.