Nonlinear longitudinal current in degenerate plasma, arising under the influence of the transversal electromagnetic field

TL;DR

This paper investigates how nonlinear effects in degenerate plasmas under electromagnetic influence generate a longitudinal current, extending classical linear analysis results and exploring collision effects.

Contribution

It introduces a nonlinear analysis of longitudinal current generation in degenerate plasmas using the Vlasov-Boltzmann equation with BGK collisions, highlighting new current components.

Findings

Nonlinear longitudinal current is generated along the wave vector.

Longitudinal current is perpendicular to the classical transverse current.

Results unify collisional and collisionless plasma behaviors in the zero-collision limit.

Abstract

Kinetic Vlasov-Boltzmann equation for degenerate collisional plasmas with integral of collisions of relaxation type BGK (Bhatnagar, Gross and Krook) is used. Square-law expansion on size of intensity of electric field for kinetic equation, Lorentz's force and integral of collisions is considered. It is shown, that nonlinearity leads to generation of the longitudinal electric current directed along a wave vector. Longitudinal current is perpendicular to the known transversal classical current received at the linear analysis. The case of small values of wave number is considered. When frequency of collisions tends to the zero, all received results for collisional pass plasmas in corresponding results for collisionless plasmas. Graphic research of the real and imaginary part current density is carried out.