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arXiv 0812.1240physics.plasm-ph
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无力Harris单的一维Vlasov-Maxwell平衡

A one-dimensional Vlasov-Maxwell equilibrium for the force-free Harris sheet

Michael G. Harrison, Thomas Neukirch

摘要:

本文提出了第一个非线性无力Vlasov-Maxwell平衡。平衡磁场的一个分量具有与Harris片相同的空间结构,但是Harris片通过压力梯度保持力平衡,而在这里提出的无力解中,力平衡通过磁剪切保持。磁压力、等离子体压力和等离子体密度是恒定的。用于找到平衡的方法是基于一维弗拉索夫-麦克斯韦平衡问题与二维保守势中的伪粒子运动的类比。这个势相当于等离子体压力张量的一个对角分量。在找到该压力张量分量的适当函数形式之后,可以使用傅里叶变换方法找到对应的分布函数。无力解可以推广到一个完整的平衡族,描述了从纯压力平衡的哈里斯单到无力哈里斯单的过渡。

英文摘要:

In this paper the first non-linear force-free Vlasov-Maxwell equilibrium is presented. One component of the equilibrium magnetic field has the same spatial structure as the Harris sheet, but whereas the Harris sheet is kept in force balance by pressure gradients, in the force-free solution presented here force balance is maintained by magnetic shear. Magnetic pressure, plasma pressure and plasma density are constant. The method used to find the equilibrium is based on the analogy of the one-dimensional Vlasov-Maxwell equilibrium problem to the motion of a pseudo-particle in a two-dimensional conservative potential. This potential is equivalent to one of the diagonal components of the plasma pressure tensor. After finding the appropriate functional form for this pressure tensor component, the corresponding distribution functions can be found using a Fourier transform method. The force-free solution can be generalized to a complete family of equilibria that describe the transition between the purely pressure-balanced Harris sheet to the force-free Harris sheet.

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