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- W2068592801 abstract "The local dispersion relation for waves with frequencies in the range of the diamagnetic frequencies ωj* and parallel wave numbers satisfying the conditions k∥cs/ωe*∼1 and qRk∥≫1 has been obtained in the framework of kinetic theory keeping the equilibrium density, temperature, and parallel velocity gradients into account (j is the species index, qR the connection length, and cs the speed of sound). The analysis applies to the cases where the radial scale of the oscillations is comparable to or smaller than the equilibrium length scale. As the velocity-space integral appearing in the dispersion relation can be calculated only in asymptotic limits, exact instability criteria are obtained by means of the Nyquist diagram. Defining τi=Ti/Te, ηi=∂r ln Ti/∂r ln Ni, and ζ =∂rU∥,i/cs∂r ln Ni, it is found that unstable modes appear for ηi>1+1−ζ2/(1+τi) (which agrees with the standard ion temperature gradient instability condition ηi>2 if ζ=0) and 0<ηi<1−1−ζ2/(1+τi) (the case ηi<0 has not been analyzed), i.e., for ζ2⩾ ηi(2−ηi)(1+τi) (which does not agree with the standard parallel velocity shear instability condition |ζ|>√ if ηi=0). The center of the unstable range is characterized by the relation k∥cs/ωe*=−ζ/2(1+τi) from which it follows that qRk∥≫1 is verified if [kβas/2(1+τi)]qR∂rU∥,i/cs≫1 (kβ is the wave vector component in the direction of the binormal). The oscillations are not tied, under those conditions, to any particular rational surface; the roles of magnetic shear, trapped electrons, ion gyroradius and torus curvature are moreover negligible. The growth/decay rate of the oscillations has been calculated in the neighborhood of marginal (in)stability; the excitation/damping mechanism is (inverse) ion Landau damping. The wave frequency is a function of position so that localization of a wave packet results from a competition between linear growth and distortion (wave breaking in smaller eddies). Applications of the theory include the transition from the edge localized mode-free to enhanced D alpha high confinement regime and intermittency." @default.
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- W2068592801 date "2004-04-16" @default.
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- W2068592801 title "On ion temperature gradient and parallel velocity shear instabilities" @default.
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- W2068592801 doi "https://doi.org/10.1063/1.1677177" @default.
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