On the evolution of equilibrium of plasma with finite electric conductivity in a tokamak

The simplified moments method of the equilibrium equation applicable in the case, when an approximate solution structure is known, is considered. In the moments method two-dimensional equation in partial derivatives is replaced by the system of one-dimensional ordinary nonlinear differential equations. The method application to the problem of equilibrium relaxation on a sharp pressure increase shows that the configuration with the conserving fluxes even at a comparatively low pressure (β approximately equal to 0.15 a/R) takes place during the time interval being only the small part of the skin one. The process of evolution at fusion of two or a number of plasma filaments with parallel currents is considered. It is shown that in this process followed by overlocking of lines of magnetic force and changing of the magnetic surface system topology, the energy dissipates which is comparable with the energy of the poloidal plasma magnetic field. That is why the fusion process can be an additional electrotechnical method of plasma heating for tokamaks or stabilized pinches