Self-consistent equilibrium of a helical magnetic flux rope in a finite-pressure plasma

被引：1

作者：

Cheremnykh, Oleg K. ^{[1
]}

Fedun, Viktor ^{[2
]}

Lashkin, Volodymyr M. ^{[1
,3
]}

机构：

[1] Space Res Inst, Pr Glushkova 40 k4-1, UA-03187 Kiev, Ukraine

[2] Univ Sheffield, Plasma Dynam Grp, Dept Automat Control & Syst Engn, Sheffield S1 3JD, England

[3] Inst Nucl Res, Pr Nauki 47, UA-03028 Kiev, Ukraine

来源：

PHYSICS OF PLASMAS | 2023年 / 30卷 / 12期

基金：

英国科学技术设施理事会;

关键词：

Cylinders (shapes) - Magnetic flux - Magnetoplasma - Rope;

D O I：

10.1063/5.0173660

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present an analytical model of the self-consistent equilibrium of a magnetic flux rope, which is obtained in cylindrical geometry. The equilibrium quantities, namely, the azimuthal magnetic field and plasma pressure, are determined in a self-consistent way through the current density, which is derived as a solution of a nonlinear equation. By minimizing the energy functional, it was shown that the constrained equilibrium state is stable. The obtained results are also applicable to the cylindrical tokamak magnetic configurations. It is shown that the analytically predicted radial profiles of equilibrium quantities are in good agreement with the experimental data.

引用

页数：5