Plasma Equilibrium in a Magnetic Field with Stochastic Regions

Reiman, J.A. Krommes and Allan H.

Princeton University. Plasma Physics Laboratory.

关键词: Differential Equations;    Diffusion;    Turbulence Diffusion, Magnetic Field, Equilibrium, Mhd, Stochasticity;    Magnetic Fields;    Periodicity;   

DOI  :  10.2172/953207
RP-ID  :  PPPL-4401
RP-ID  :  DE-AC02-09CH11466
RP-ID  :  953207

美国|英语

来源: UNT Digital Library

【 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