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The Alfvén root of the dispersion relation for plane waves in a collisionless magnetised plasma with Maxwellian distribution functions is discussed for wave vectors nearly perpendicular to the magnetic field and for wavelengths comparable to the ion gyroradius. When measured in units of the Alfvén frequency, this root is a function of the ratio of the ion gyroradius and the perpendicular wavelength, of the ratio of ion and magnetic pressures, and of the ratio of electron and ion temperatures. An application to the problem of gyroradius stabilisation of short wavelength magnetohydrodynamic instabilities localised in the high beta region near the centre of a Z pinch is outlined.

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Authors: SPIES G O, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE);LI J, Royal Institute of Technology, Stockholm (SE)
Bibliographic Reference: Article: Physics of Fluids B, Vol. 2 (1990) No. 10, pp. 2287-2293
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