Mathematical Modeling of Plasma Transport in a Helical Magnetic Field

The paper presents the results of mathematical modeling of plasma transport in a spiral magnetic field using new experimental data obtained at the SMOLA trap created at the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences. Plasma confinement in the trap is carried out by transmitting a pulse from a magnetic field with helical symmetry to a rotating plasma. A new mathematical model is based on a stationary plasma transport equation in an axially symmetric formulation. The distribution of the plasma concentration obtained by numerical simulation confirmed the confinement effect obtained in the experiment. The dependences of the integral characteristics of the plasma on the depth of corrugation of the magnetic field, diffusion, and plasma potential are obtained. The mathematical model is intended to predict plasma confinement parameters in designing traps with a spiral magnetic field.