We discuss a family of Vlasov–Maxwell equilibrium distribution functions for current sheet equilibria that are intermediate cases between the Harris sheet and the force-free (or modified) Harris sheet. These equilibrium distribution functions have potential applications to space and astrophysical plasmas. The existence of these distribution functions had been briefly discussed by Harrison & Neukirch (Phys. Rev. Lett., vol. 102, (2009a), 135003), but here it is shown that their approach runs into problems in the limit where the guide field goes to zero. The nature of this problem will be discussed and an alternative approach will be suggested that avoids the problem. This is achieved by considering a slight variation of the magnetic field profile, which allows a smooth transition between the Harris and force-free Harris sheet cases.

中文翻译：

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描述从 Harris 片到无力 Harris 片的过渡的 Vlasov-Maxwell 平衡分布函数族

我们讨论了当前片平衡的 Vlasov-Maxwell 平衡分布函数族，它们是 Harris 片和无力（或修改的）Harris 片之间的中间情况。这些平衡分布函数对空间和天体物理等离子体具有潜在应用。Harrison & Neukirch 曾简要讨论过这些分布函数的存在（物理。牧师莱特。, 卷。102, (2009一种), 135003)，但这里表明他们的方法在引导场变为零的限制中遇到了问题。将讨论此问题的性质，并建议避免该问题的替代方法。这是通过考虑磁场分布的轻微变化来实现的，这允许在哈里斯和无力哈里斯片材之间的平滑过渡。