Self-consistent magnetic fields and currents

TL;DR

This paper explores the theoretical possibility of self-sustaining magnetic fields and currents in plasma, deriving equations that describe their behavior and conditions for turbulence and dynamo effects.

Contribution

It provides a self-consistent theoretical framework for understanding magnetic fields and currents in plasma, including boundary conditions for their excitation and attenuation.

Findings

Derived wave and nonlinear equations for plasma currents and velocities.

Identified conditions for magnetic dynamo and localized plasma structures.

Established boundary conditions for turbulence and magnetic field excitation.

Abstract

The possibility of the existence of quasi-stationary electromagnetic fields in plasma supported by their own self-consistent current follows from Maxwell's equations with field sources. These equations also give rise to a wave equation for the density of a self-consistent current and a nonlinear kinematic equation for the velocity of electric charges, from which follows the possibility of excitation of a "magnetic dynamo" and localized rotating plasma structures having a magnetic field. An analytical boundary condition for the excitation or attenuation of turbulence and "magnetic dynamo" is obtained.