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The linear theory of electrostatic instabilities driven by ion temperature gradient (ITG) is investigated for impure plasmas in shaped (for instance elliptical and triangular) toroidal plasma cross-sections. Kinetic theory is used to describe the response of each ion species. Both even and odd parity branches of these ITG modes are examined in detail for parameters relevant to high temperature experiments. The Shafranov shift tends to lower the growth rates of both nodes, most notably that of the odd parity mode. Ellipticity in the plasma cross-section has a strong stabilising effect on the even parity mode, but leaves the odd parity mode essentially unaffected. Triangularity has a much weaker (also stabilising) effect and can be ignored, for practical situations. Strong stabilisation by multiply charged impurities is encountered, primarily due to dilution of the primary ion concentration.

Additional information

Authors: MIGLIUOLO S, Massachusetts Institute of Technology, Research Laboratory of Electronics, Cambridge (US)
Bibliographic Reference: Report: JET-P(93)15 EN (1993) 30 pp.
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon. OX14 3EA (GB)
Record Number: 199310732 / Last updated on: 1994-11-29
Original language: en
Available languages: en