Relativistic Quasilinear Description of Three-Dimensional Diffusion
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.
J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion: Applied Sciences, vol. 38, Springer, New York, NY, USA, 1983.
L.-G. Eriksson and P. Helander, “Monte Carlo operators for orbit-averaged Fokker-Planck equations,” Physics of Plasmas, vol. 1, no. 2, pp. 308–314, 1994.View at: Google Scholar
M. Brambila, Plasma Physics and Controlled Fusion, vol. 41, p. 1, 1999.
A. Cardinali, L. Morini, and F. Zonca, in Proceedings of the Joint Varenna-Lausanne International Workshop on Theory of Fusion Plasmas, J. Conner, O. Sauter, and E. Sindoni, Eds., vol. 871, p. 292, American Institute of Physics, Varenna, Italy, 2006.
R. D. Hazeltine, S. M. Mahajan, and D. A. Hitchcock, “Quasi-linear diffusion and radial transport in tokamaks,” Physics of Fluids, vol. 24, no. 6, pp. 1164–1179, 1981.View at: Google Scholar
Z. T. Wang, Y. X. Long, J. Q. Dong, L. Wang, and F. Zonca, “Fishbone instability excited by barely trapped electrons,” Chinese Physics Letters, vol. 23, no. 1, pp. 158–160, 2006.View at: Google Scholar
P. U. Lamalle, “A qualitative comparison of theoretical models of radiofrequency wave propagation and absorption in tokamak plasmas,” Plasma Physics and Controlled Fusion, vol. 40, no. 4, pp. 465–479, 1998.View at: Google Scholar
B. J. Braams and C. F. F. Karney, “Conductivity of a relativistic plasma,” Physics of Fluids B, vol. 1, no. 7, pp. 1355–1368, 1989.View at: Google Scholar