Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Pressure-gradient-induced Alfvén eigenmodes: II. Kinetic excitation with ion temperature gradient

Journal Article · · Plasma Physics and Controlled Fusion

The kinetic excitation of ideal magnetohydrodynamic (MHD) discrete Alfvén eigenmodes in the second MHD ballooning stable domain is studied in the presence of a thermal ion temperature gradient (ITG), using linear gyrokinetic particle-in-cell simulations of a local flux tube in shifted-circle tokamak geometry. The instabilities are identified as α-induced toroidal Alfvén eigenmodes (αTAE); that is, bound states trapped between pressure-gradient-induced potential barriers of the Schrödinger equation for shear Alfvén waves. Using numerical tools, we examine in detail the effect of kinetic thermal ion compression on αTAEs; both non-resonant coupling to ion sound waves and wave–particle resonances. It is shown that the Alfvénic ITG instability thresholds (e.g., the critical temperature gradient) are determined by two resonant absorption mechanisms: Landau damping and continuum damping. The numerical results are interpreted on the basis of a theoretical framework previously derived from a variational formulation. The present analysis of properties and structures of Alfvénic fluctuations in the presence of steep pressure gradients applies for both positive or negative magnetic shear and can serve as an interpretative framework for experimental observations in (future) high-performance fusion plasmas of reactor relevance.

Research Organization:
Univ. of California, Irvine, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
DOE Contract Number:
FG02-04ER54736
OSTI ID:
1130355
Report Number(s):
DOE-UCI-ER54736
Journal Information:
Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 1 Vol. 52; ISSN 0741-3335
Publisher:
IOP Science
Country of Publication:
United States
Language:
English

References (35)

Existence of discrete modes in an unstable shear Alfvén continuous spectrum journal December 1998
Kinetic shooting code study of ballooning modes in a tokamak journal March 1997
Noncircular, finite aspect ratio, local equilibrium model journal April 1998
Gyrokinetic particle-in-cell simulation of Alfvénic ion-temperature-gradient modes in tokamak plasma journal March 2002
Discrete Alfvén eigenmodes in high-β toroidal plasmas journal January 2004
Gyrokinetic verification of the persistence of kinetic ballooning modes in the magnetohydrodynamic second stability regime journal August 2008
Topology of Ballooning Modes journal October 1977
Toroidal kinetic η i ‐mode study in high‐temperature plasmas journal March 1992
Kinetic theory of collisionless ballooning modes journal January 1982
Kinetic theory of low-frequency Alfvén modes in tokamaks journal November 1996
Kinetic theory of geomagnetic pulsations: 1. Internal excitations by energetic particles journal February 1991
Pressure-gradient-induced Alfvén eigenmodes: I. Ideal MHD and finite ion Larmor radius effects journal November 2009
Electron fishbones: theory and experimental evidence journal October 2007
Ballooning modes in the magnetohydrodynamic second stability region journal September 1995
Destabilization of energetic particle modes by localized particle sources journal November 2000
Theory of magnetohydrodynamic instabilities excited by energetic particles in tokamaks* journal May 1994
Study of kinetic shear Alfvén modes driven by ion temperature gradient in tokamak plasmas journal August 1999
Effects of magnetosonic perturbations on electron temperature gradient driven modes and the stability of skin depth sized electron ballooning modes journal November 2007
Global-gyrokinetic study of finite β effects on linear microinstabilities journal May 2003
Global particle-in-cell simulations of Alfvénic modes journal November 2008
Shear, Periodicity, and Plasma Ballooning Modes journal February 1978
Self-Healing of Confined Plasmas with Finite Pressure journal April 1980
Numerical simulations of toroidal Alfvén instabilities excited by trapped energetic ions journal June 2000
Theory of kinetic ballooning modes excited by energetic particles in tokamaks journal September 1993
Excitation of Internal Kink Modes by Trapped Energetic Beam Ions journal March 1984
Finite-gyroradius stabilization of ballooning modes in a toroidal geometry journal July 1981
Discrete Alfvén eigenmodes excited by energetic particles in high-β toroidal plasmas journal July 2005
Erratum: “Gyrokinetic verification of the persistence of kinetic ballooning modes in the magnetohydrodynamic second stability regime” [Phys. Plasmas 15, 082107 (2008)] journal June 2009
Theory of Alfvén waves and energetic particle physics in burning plasmas journal September 2007
Existence of ion temperature gradient driven shear Alfvén instabilities in tokamaks journal May 1999
Ion temperature gradient‐driven ballooning mode in tokamaks journal March 1995
Resonant and non-resonant particle dynamics in Alfvén mode excitations journal March 2006
n-dependence of ballooning instabilities journal April 1981
Study of kinetic shear Alfvén instability in tokamak plasmas journal March 2004
Higher Order Collisionless Ballooning Mode in Tokamaks journal June 1994

Similar Records

Pressure-gradient-induced Alfvén eigenmodes: I. Ideal MHD and finite ion Larmor radius effects
Journal Article · Mon Nov 23 23:00:00 EST 2009 · Plasma Physics and Controlled Fusion · OSTI ID:1130356

Discrete Alfvén eigenmodes excited by energetic particles in high-β toroidal plasmas
Journal Article · Wed Jul 20 00:00:00 EDT 2005 · Plasma Physics and Controlled Fusion · OSTI ID:1130342

Theory and simulation of discrete kinetic beta induced Alfvén eigenmode in tokamak plasmas
Journal Article · Mon Sep 27 00:00:00 EDT 2010 · Plasma Physics and Controlled Fusion · OSTI ID:1130354