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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2023 Volume 514, Number 1, Pages 129–134 (Mi danma444)

INFORMATICS

Mathematical model of plasma transfer in a helical magnetic field

G. G. Lazarevaa, I. P. Oksogoevaa, A. V. Sudnikovb

a Peoples' Friendship University of Russia, Moscow, Russian Federation
b Budker Institute of Nuclear Physics of Siberian Branch Russian Academy of Sciences (BINP SB RAS), Novosibirsk, Russian Federation

Abstract: The paper presents the results of mathematical modeling of plasma transfer in a spiral magnetic field using new experimental data obtained at the SMOLA trap created at the Budker Institute of Nuclear Physics SB RAS. Plasma confinement in the trap is carried out by transmitting a pulse from a magnetic field with helical symmetry to a rotating plasma. New mathematical model is based on a stationary plasma transfer equation in an axially symmetric formulation. The distribution of the concentration of the substance obtained by numerical simulation confirmed the confinement effect obtained in the experiment. The dependences of the integral characteristics of the substance on the depth of corrugation of the magnetic field, diffusion and plasma potential are obtained.

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

UDC: 519.63

Received: 03.08.2023
Revised: 01.09.2023
Accepted: 03.11.2023

DOI: 10.31857/S2686954323600945


 English version:
Doklady Mathematics, 2023, 108:3, 533–538

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© Steklov Math. Inst. of RAS, 2025