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arXiv 2108.12968physics.plasm-ph
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磁层中高β各向异性压力平衡的动力学构造

Kinetic construction of the high-beta anisotropic-pressure equilibrium in the magnetosphere

H. Aibara, Z. Yoshida, K. Shirahata

摘要:

将各向异性压力的Grad-Shafranov方程和Vlasov方程统一起来,建立了磁层等离子体高β平衡的理论模型.对于给定的磁化电流,利用Grad-Shafranov方程确定了对应于压力张量的轴对称磁场。给定一个磁场,我们确定的分布函数作为一个特定的平衡解的弗拉索夫方程,使用它,我们得到的压力张量。我们需要找到一个合适的分布函数类,使这两个方程同时满足。在这里,我们考虑的分布函数,最大化的熵的子流形指定的磁矩。这等价于将正则泊松括号简化为具有对应于磁矩的卡西米尔的非正则泊松括号。然后压力张量成为磁场(通过回旋频率)和通量函数的函数,满足Grad-Shafranov方程的要求。数值解已被用来解释RT-1实验室磁层的实验数据。

英文摘要:

A theoretical model of the high-beta equilibrium of magnetospheric plasma was constructed by consistently connecting the (anisotropic pressure) Grad-Shafranov equation and the Vlasov equation. The Grad-Shafranov equation was used to determine the axisymmetric magnetic field for a given magnetization current corresponding to a pressure tensor. Given a magnetic field, we determine the distribution function as a specific equilibrium solution of the Vlasov equation, using which we obtain the pressure tensor. We need to find an appropriate class of distribution function for these two equations to be satisfied simultaneously. Here, we consider the distribution function that maximizes the entropy on the submanifold specified by the magnetic moment. This is equivalent to the reduction of the canonical Poisson bracket to the noncanonical one having the Casimir corresponding to the magnetic moment. The pressure tensor then becomes a function of the magnetic field (through the cyclotron frequency) and flux function, satisfying the requirement of the Grad-Shafranov equation. Numerical solutions have been obtained to interpret the experimental data of the RT-1 laboratory magnetosphere.

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