Pressure-gradient-induced Alfvén eigenmodes: I. Ideal MHD and finite ion Larmor radius effects

Bierwage, A.; Chen, L.; Zonca, F.

doi:10.1088/0741-3335/52/1/015004

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

DOI:https://doi.org/10.1088/0741-3335/52/1/015004· OSTI ID:1130356

Bierwage, A. ^[1]; Chen, L.; Zonca, F.

University of California, Irvine

In the second magnetohydrodynamic (MHD) ballooning stable domain of a high-beta tokamak plasma, the Schrödinger equation for ideal MHD shear Alfvén waves has discrete solutions corresponding to standing waves trapped between pressure-gradient-induced potential wells. Our goal is to understand how these so-called α-induced toroidal Alfvén eigenmodes (αTAE) are modified by the effects of finite Larmor radii (FLR) and kinetic compression of thermal ions in the limit of massless electrons. In this paper, we neglect kinetic compression in order to isolate and examine in detail the effect of FLR terms. After a review of the physics of ideal MHD αTAE, the effect of FLR on the Schrödinger potential, eigenfunctions and eigenvalues is described with the use of parameter scans. The results are used in a companion paper to identify instabilities driven by wave–particle resonances in the second stable domain.

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:: 1130356

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

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