Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
Abstract
A simple nonlinear equation is derived to describe the pseudo-three-dimensional dynamics of a nonuniform magnetized plasma with Te≫Ti by taking into account the three-dimensional electron, but two-dimensional ion dynamics in the direction perpendicular to B0. The equation bears a close resemblance to the two-dimensional Navier-Stokes equation. A stationary spectrum in the frequency range of drift waves is obtained using this equation by assuming a coexisting large amplitude long wavelength mode. The ω-integrated k spectrum is given by k1.8(1+k2)-2.2, while the width of the frequency spectrum is proportional to k3(1+k2)-1, where k is normalized by cs/ωci. The result compares well with the recently observed spectrum in the ATC tokamak.
- Publication:
-
Physics of Fluids
- Pub Date:
- January 1978
- DOI:
- 10.1063/1.862083
- Bibcode:
- 1978PhFl...21...87H
- Keywords:
-
- Magnetic Fields;
- Magnetohydrodynamic Stability;
- Nonuniform Plasmas;
- Plasma Turbulence;
- Three Dimensional Flow;
- Conservation Laws;
- Magnetohydrodynamic Flow;
- Navier-Stokes Equation;
- Nonlinear Equations;
- Plasma Waves;
- Spectral Energy Distribution;
- Plasma Physics