Plasma Equilibrium in a Magnetic Field with Stochastic Regions

J.A. Krommes and Allan H. Reiman

关键词: CURRENTS;    DIFFERENTIAL EQUATIONS;    DIFFUSION;    EQUATIONS;    EQUILIBRIUM;    MAGNETIC FIELDS;    MODE RATIONAL SURFACES;    PERIODICITY;    PLASMA;    TOROIDAL CONFIGURATION;    TURBULENCE Diffusion;    Magnetic Field;    Equilibrium;    MHD;    Stochasticity;   

DOI  :  10.2172/953207
RP-ID  :  PPPL-4401
PID  :  OSTI ID: 953207
Others  :  TRN: US1000856

学科分类：原子、分子光学和等离子物理

美国|英语

来源: SciTech Connect

【 摘 要 】

The nature of plasma equilibrium in a magnetic field with stochastic regions is examined. It is shown that the magnetic differential equation that determines the equilibrium Pfirsch-Schluter currents can be cast in a form similar to various nonlinear equations for a turbulent plasma, allowing application of the mathematical methods of statistical turbulence theory. An analytically tractable model, previously studied in the context of resonance-broadening theory, is applied with particular attention paid to the periodicity constraints required in toroidal configurations. It is shown that even a very weak radial diffusion of the magnetic field lines can have a significant effect on the equilibrium in the neighborhood of the rational surfaces, strongly modifying the near-resonant Pfirsch-Schluter currents. Implications for the numerical calculation of 3D equilibria are discussed