Theoretical and Numerical Study of Electron Transport Through Magnetic Island

Abstract

We investigate electron heat diffusion across a low mode magnetic island numerically in cylindrical geometry and compare with the theory in tokomak plasma physics. In order to keep the simulation results reliable, a modified simulation code, TM8P, was used in our simulation work. The correlation of the effective radial heat conductivity, χr, and several high ratio of parallel magnetic field heat diffusion coefficient to the perpendicular coefficient, \( {{\chi_{\parallel } } \mathord{\left/ {\vphantom {{\chi_{\parallel } } {\chi_{ \bot } }}} \right. \kern-0pt} {\chi_{ \bot } }} \), is studied in this article. It’s found that the theoretical prediction by Yu conform with the numerical results of TM8P when \( {{\chi_{\parallel } } \mathord{\left/ {\vphantom {{\chi_{\parallel } } {\chi_{ \bot } }}} \right. \kern-0pt} {\chi_{ \bot } }} \) is not bigger than 1012, i.e. the value of width of magnetic island to the width of diffusive layer, w/wc, is a small number.