Abstract:
In the paper on the basis of the two-fluid magnetohydrodynamics the equilibrium plasma configurations in magnetic traps of the $\theta$-pinch type are investigated. The study is carried out using as the example the «Dipole» trap (magnetic trap-galathei). For any trap of the $\theta$-pinch type, the taking into account the two-component of plasma can correctly consider the centrifugal force acting on the plasma with a current. The results of calculations showed that taking this force into account gives, as a rule, equilibrium states qualitatively and quantitatively different from the equilibrium states obtained on the basis of the classical Grad-Shafranov equation.
Keywords:two-fluid magnetohydrodynamics, equilibrium plasma configurations, $\theta$-pinch, plasma pressure and density, magnetic trap, the Grad-Shafranov equation, nonlinear elliptic equation.