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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Effect of Hall current on the Jeans instability of magnetized viscous quantum plasma
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Effect of Hall current on the Jeans instability of magnetized viscous quantum plasma

机译：霍尔电流对磁化粘性量子等离子体Jeans不稳定性的影响

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摘要

The effect of Hall current on the Jeans instability of an infinitely conducting, homogeneous, viscous quantum plasma is investigated. The basic equations of the problem are constructed and linearized by using the quantum magnetohydrodynamic model. The contributions of Hall current and viscosity of the medium are incorporated into the present analysis because of their astrophysical importance. The general dispersion relation is obtained using the normal mode analysis technique, which is reduced for both the transverse and the longitudinal mode of propagation. The longitudinal mode is found to be modified by Hall current, while the transverse mode is unaffected by the presence of the Hall parameter. The Jeans criterion of instability is obtained, which is modified by Alfven velocity and quantum corrections but is unaffected by the presence of the Hall parameter and viscosity. The longitudinal mode is found to be modified by Alfven speed and the Hall parameter and is independent of quantum corrections. Viscosity, magnetic field and quantum corrections all have a stabilizing influence on the growth rate of the Jeans instability.
机译：研究了霍尔电流对无限导电，均质，粘性量子等离子体的Jeans不稳定性的影响。通过使用量子磁流体动力学模型，构造并线性化了该问题的基本方程。由于其天体物理重要性，霍尔电流和介质粘度的贡献已纳入本分析。使用正常模式分析技术可以获得一般的色散关系，对于传播的横向和纵向模式，色散关系都会减小。发现纵向模式受霍尔电流的影响，而横向模式不受霍尔参数的影响。获得了不稳定性的Jeans准则，该准则通过Alfven速度和量子校正进行了修改，但不受Hall参数和粘度的影响。发现纵向模式被Alfven速度和霍尔参数修改，并且与量子校正无关。粘度，磁场和量子校正都对Jeans不稳定性的增长率具有稳定的影响。

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