Hall magnetohydrodynamic model of the quasi-single helicity self-organization of RFP

Plasma Physics by Laser and Applications 2013 Conference

Gurin, A.^1

Institute for Nuclear Research NAS of Ukraine, Prospect Nauky 47, Kiev, 03680, Ukraine^1

关键词: Boundary problems;    Hall magnetohydrodynamics;    Hydrodynamic velocity;    Physical features;    Quasi-single-helicity;    Reversed field pinch;    Self organizations;    Theoretical modeling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/508/1/012017/pdf
DOI  :  10.1088/1742-6596/508/1/012017

来源: IOP

【 摘 要 】

In the framework of two-fluids Hall magnetohydronynamic description of a paramagnetic z-pinch with the low safety factor (q1 on the pinch axis), the theoretical model of kink mode stabilization is developed. It is shown that global kink oscillations of paramagnetic pinch, whose instability had been found in the single-fluid MHD theory, generate due to the Hall effects a rotation of plasma, which, in turn, stabilizes the kinks of the plasma column. The fluctuations are considered in terms of the cylindrical boundary problem for the pinch equilibrium with arbitrary components of the magnetic field, (0,Bθ,BZ), hydrodynamic velocity, (0,Vθ,Vz), and the Hall parameter. The consideration is fulfilled in approximation of "cold" plasma when the Alfven magnetic activity plays the key role. The hydrodynamic velocities Vθ, Vz are determined numerically from momentum balance collision-free equations averaged over the helical fluctuations. The developed self-consistent quasi-linear magnetohydronynamic model of the marginally stable kink spectrum reflects some physical features of the quasi-single helicity regime in reversed field pinches.