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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2025 Volume 22, Issue 1, Pages A4–A17 (Mi semr1841)

Collection of papers, dedicated to 75-th birthday of Vasiliy Ivanovich Vasil'ev (Editors: S.I. Kabanikhin, M.A. Shishlenin)

Analysis of the plasma transfer model in a helical magnetic field

G. G. Lazarevaa, I. P. Oksogoevab, A. V. Sudnikovc

a Lomonosov Moscow State University, 119991, Moscow, Russia, GSP-1, 1 Leninskiye Gory
b Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN), 117198, Moscow, Russia, Miklukho-Maklaya str., 6
c Budker Institute of Nuclear Physics of Siberian Branch Russian Academy of Sciences (BINP SB RAS), pr. Acad. Lavrentieva, 11, 630090, Novosibirsk, Russia

Abstract: The paper presents the results of an analysis of a mathematical model of plasma transfer in a spiral open magnetic 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. The mathematical model is based on the stationary plasma transfer equation. The model introduced the consideration of the functional type of the coefficients of the model, set in the range corresponding to the physics of the confinement process. The dependences of the model parameters on the coordinates are given, at which a qualitative correspondence of the calculation to experimental data is observed. A mathematical model has been developed to predict the parameters of plasma confinement in designed trapes with a spiral magnetic field.

Keywords: mathematical modeling, transfer equation, helical magnetic field.

UDC: 519.63

MSC: 93A30

Received January 31, 2025, published July 31, 2025

DOI: 10.33048/semi.2025.22.A02



© Steklov Math. Inst. of RAS, 2026