Table of Contents
SRX Physics
Volume 2010, Article ID 640826, 4 pages
Research Article

Relativistic Quasilinear Description of Three-Dimensional Diffusion

Southwestern Institute of Physics, P.O. Box 432, Chengdu 610041, China

Received 28 August 2009; Revised 2 November 2009; Accepted 5 November 2009

Copyright © 2010 Z. T. Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Quasilinear theory is developed by using canonical variables for a relativistic plasma. It is self-consistent, including momentum, pitch angle, and spatial diffusions. By assuming the wave field as a superposition of known toroidal and poloidal Fourier modes, the quasilinear diffusion coefficients are written in a form which can be directly evaluated using the output of a spectral full-wave solver of Maxwell equations in toroidal plasmas. The formalism is special for tokamas and, therefore, simple and suitable for simulations of cyclotron heating, current drive, and radio-frequency wave-induced radial transport in ITER.