Kinetic resonance damping rate of the toroidal ion temperature gradient mode
- 1 April 1994
- journal article
- Published by AIP Publishing in Physics of Plasmas
- Vol. 1 (4) , 927-936
- https://doi.org/10.1063/1.870751
Abstract
The linear damping rates of the toroidal ion temperature gradient (ηi) mode due to the toroidal resonance are calculated in the local kinetic limit. The well-known Landau contour method is generalized to treat the analytic continuation problem of the guiding center dispersion function in the toroidal resonance system where the resonance occurs from both the magnetic ∇B-curvature drift and the parallel ion transit drift. A detailed numerical analysis is presented for the dependence of the damping rate of the toroidal ηi mode on various parameters such as εn, ky, and the trapped electron fraction. In addition, a consideration is presented on the decay problem of the ballistic response by phase mixing in the toroidal system, which is directly related to the kinetic damping problem of the normal modes by the toroidal resonance.Keywords
This publication has 14 references indexed in Scilit:
- The linear threshold of the ion-temperature-gradient-driven modePhysics of Fluids B: Plasma Physics, 1993
- Gyro-Landau fluid models for toroidal geometryPhysics of Fluids B: Plasma Physics, 1992
- Toroidal kinetic ηi-mode study in high-temperature plasmasPhysics of Fluids B: Plasma Physics, 1992
- Effect of shear on toroidal ion temperature gradient mode turbulencePhysics of Fluids B: Plasma Physics, 1990
- Toroidal electron temperature gradient driven drift modesPhysics of Fluids, 1988
- Ion temperature gradient mode in the weak density gradient limitPhysics of Fluids, 1988
- Guiding-center dispersion functionJournal of Computational Physics, 1984
- Toroidal drift modes driven by ion pressure gradientsPhysics of Fluids, 1981
- Theory of the ubiquitous modeNuclear Fusion, 1977
- Instabilities due to Temperature Gradients in Complex Magnetic Field ConfigurationsPhysics of Fluids, 1967