G. Lazareva | Mathematical modeling of plasma confinement in the helically corrugatedmagnetic field
Channel: EIMI, PDMI RAS and Chebyshev Laboratory
Date: 2022-08-01

O.A. Ladyzhenskaya centennial conference on PDE’s, St. Petersburg, July 16 – July 22, 2022
Galina G. Lazareva (RUDN University) 
Mathematical modeling of plasma confinement in the helically corrugated magnetic field

Novel concept of the longitudinal plasma flow suppression by active plasma
pumping in helicoidal magnetic field in mirror traps was proposed recently. Concept exploration device SMOLA is now being constructed to prove the possibility of the suppression and determine basic scalings of ist effectiveness [1]. New mathematical model of plasma confinement in the helically corrugated magnetic field are described in the article. The calculated density distribution in the longitudinal cross-section and particle flow showing plasma pinching are obtained. Suppression effectiveness drops significantly to the magnetic axis compared to the confinement in the peripheral region and discharge always contracts. Radial and axial transport was described in [2]. The suppression length was calculated in [3] in assumption of the negligible diffusion. 
References
[1] A. V. Sudnikov, et al., Plasma flow suppression by the linear helical mirror
system, J. Plasma Phys. 88 (2022), no.1.
[2] A. D. Beklemishev, Radial and Axial Transport in Trap Sections with Helical Corrugation, AIP Conference Proceedings 1771 (2016), no.040006.
[3] A. V. Sudnikov, et al., SMOLA device for helical mirror concept exploration, Fusion Eng. Design. 122 (2017), no.85.