In this paper, the collisionless electrostatic instability of the entropy mode is investigated linearly in multi-component plasmas confined by a dipole magnetic field, which commonly exists in space environments, as well as laboratory plasmas, such as Collisionless Terrella eXperiment, Levitated Dipole eXperiment, and Dipole Research EXperiment. We focus on characteristics of the entropy mode driven by the plasma density or/and the temperature gradient at low plasma beta (=8πP0/B02). The theoretical analysis of this work agrees with the calculated results qualitatively. It is indicated that the peak growth rate of the instability is in the regime of k⊥ρi ∼ 1, and the entropy mode tends to be more stable as the percentage of the heavy ion increases. For multi-component plasmas, each component has the entropy mode feature of its own, instead of simply averaging all the components. While for the electron with an isotropic temperature, the use of weighted harmonic average can be a good approximation for simplification.
Entropy modes are typical instabilities particularly seen in dipole field confined plasmas. In this paper, linear gyrokinetic calculations, together with the integral dispersion relation method, are applied to study the electrostatic entropy mode in such plasmas with an anisotropic temperature. The numerical approach is verified for certain typical conditions with previous studies. We then further focus on the anisotropic temperature effect on the entropy mode. Basic characteristics of the entropy mode are obtained with the effect. The results show that the entropy mode has a peak growth rate at kρi ∼ 1, and the mode is shifted from the ion to the electron diamagnetic regimes at small k⊥ρi. This work can be applied for various dipole magnetic field confined plasmas as well as certain other configurations, such as Z-pinch and field reversed configurations.
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