An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta
An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta
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DOI：
10.1063/1.4934611
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发表时间：
2015-10-01
影响因子：
2.2
通讯作者：
Troscheit, S.
中科院分区：
文献类型：
--
作者：
Allanson, O.;Neukirch, T.;Troscheit, S.
本文首次讨论和分析了一维非线性无力磁场的一种新的精确无碰撞平衡态，即无力Harris片的物理性质。该解决方案允许任何值的等离子体β，关键是低于统一，这是以前的非线性无力无碰撞平衡不能。该分布函数包含正则动量的Hermite多项式的无穷级数，其重要的数学性质的收敛性和非负性最近已被证明。图的分布函数的等离子体β适度低于团结，我们比较的形状分布函数在两个速度方向的麦克斯韦分布。(C)2015年作者。
We present a first discussion and analysis of the physical properties of a new exact collisionless equilibrium for a one-dimensional nonlinear force-free magnetic field, namely, the force-free Harris sheet. The solution allows any value of the plasma beta, and crucially below unity, which previous nonlinear force-free collisionless equilibria could not. The distribution function involves infinite series of Hermite polynomials in the canonical momenta, of which the important mathematical properties of convergence and non-negativity have recently been proven. Plots of the distribution function are presented for the plasma beta modestly below unity, and we compare the shape of the distribution function in two of the velocity directions to a Maxwellian distribution. (C) 2015 Author(s).