The effect of the addition of a cooler ion component on the drift cyclotron loss cone instability was investigated using the local approximation linear dispersion relation. The parameters considered were mirror ratio, density gradient, density (including finite β), ratio of cool to hot ion temperature, and type of cool component (Maxwellian or loss cone). Several different regimes of the parameter space were defined and mapped, according to the characteristics of the instability (e.g., source of free energy, critical density gradient, range of unstable wavenumbers, maximum growth rate). The most effective stabilization was found to occur for addition of a small Maxwellian cool component with density ratio (nc/nh) ≳3.4[(ah/n)(dn/dx)]3/2 (R−1/2−R−1)1/2 and with temperature ratio satisfying 1≳ (Tc/Th)3/2(nh/nc), (R−1/2−R−1)−1≳0.43; ah is the hot ion Larmor radius, R is the mirror ratio, nc and nh are the cool and hot ion densities, and Tc and Th are the cool and hot ion temperatures. The stabilization allows a larger critical gradient, (ah/n) (dn/dx) ≈R1/4 (ωci2/ωpi2+me/mi)1/2 , and a larger minimum unstable wavenumber kah≈R1/4(ωci2/ωpi2 +me/mi)−1/2, than that with no cool component. The instability was also studied numerically for (ah/n) (dn/dx) ∼1, and the minimum nc/nh required for this stabilization was consistent with the density ratio used in the 2XIIB experiment at Livermore. For β≳0, even smaller amount of cool plasma is needed for this stabilization.
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