Plasma Equilibrium in a Magnetic Field with Stochastic Regions

[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

[发布日期] 2009-04-23

[学科分类] 原子、分子光学和等离子物理

[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