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Self-consistent magnetic fields and currents

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.