Mathematical Modeling of Temperature Effect on Plasma Transport in a Helical Magnetic Field
G. G. Lazareva1, I. P. Oksogoeva1, A. V. Sudnikov2
1Patrice Lumumba Peoples' Friendship University of Russia, Moscow, Russia
2Budker Institute of Nuclear Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: mathematical modeling, transport equation, helical magnetic field
Abstract
This paper presents preliminary results of refinement of the mathematical model of plasma transport in a helical open magnetic trap (HOMT). Plasma is contained in the device by transferring a magnetic field pulse with helical symmetry to the rotating plasma. The mathematical model is based on the stationary equation of plasma transport. The paper presents a method for taking into account the effect of the model coefficients using additional information. The calculated dependence of temperature on coordinates is obtained, which qualitatively agrees with the experimental data. Ordinary differential equations are obtained, which follow from the original model and can be used to refine the coefficients. The mathematical model is developed to predict the plasma confinement parameters in devices with a spiral magnetic field.
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