In this paper, the hybrid mathematical model of an axisymmetric plasma trap based on the kinetic description for the ion component of the plasma and the MHD approximation for the electron component is presented. Based on the hybrid model, the two-dimensional algorithm for studying the injected particles dynamics in the trap field is created. The motion of the ion component is calculated by the particle-in-cell method (PIC), and finite-difference schemes are used to calculate the magnetic field and the electron component of the plasma. The corresponding program code for studying the mechanisms of the self-consistent magnetic field structure formation is developed.
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