帕克不稳定性的稳态
Steady states of the Parker instability
AI总结:
本研究针对星系中帕克不稳定性,通过求解非理想MHD方程分析其线性、非线性演化及稳态,指出早期模型仅具定性意义,揭示了非线性阶段背景结构变化及瞬态外流特征。
摘要:
我们研究了星系中Parker不稳定性的线性特性、非线性饱和以及一种强非线性稳态。我们考虑了存在和不存在宇宙线两种情况下的磁浮力及其效应。宇宙线采用具有各向异性、非菲克扩散的流体近似来描述。为避免对不稳定性施加非物理约束(例如常用于指定不稳定背景态的边界条件),我们求解了非理想磁流体力学(MHD)方程,以描述代表不稳定磁流体静力学平衡的背景态的偏离情况。我们考虑等温气体并忽略旋转效应。该不稳定性的线性演化与早期的解析模型和数值模型大体一致;但我们表明,早期研究中的大多数简化假设并不成立,因此它们仅能提供定性而非定量的描述。在非线性阶段,不稳定性已使背景态相较于初始状态发生显著改变。磁场和宇宙线的垂直分布都变得更宽,气体层更薄,且磁场与宇宙线的能量密度都大幅降低。非线性态的空间结构与任何线性模式的空间结构都不相同。当弱非线性不稳定性趋近饱和时,会驱动产生瞬态气体外流。
英文摘要:
We study the linear properties, nonlinear saturation and a steady, strongly nonlinear state of the Parker instability in galaxies. We consider magnetic buoyancy and its consequences with and without cosmic rays. Cosmic rays are described using the fluid approximation with anisotropic, non-Fickian diffusion. To avoid unphysical constraints on the instability (such as boundary conditions often used to specify an unstable background state), nonideal MHD equations are solved for deviations from a background state representing an unstable magnetohydrostatic equilibrium. We consider isothermal gas and neglect rotation. The linear evolution of the instability is in broad agreement with earlier analytical and numerical models; but we show that most of the simplifying assumptions of the earlier work do not hold, such that they provide only a qualitative rather than quantitative picture. In its nonlinear stage the instability has significantly altered the background state from its initial state. Vertical distributions of both magnetic field and cosmic rays are much wider, the gas layer is thinner, and the energy densities of both magnetic field and cosmic rays are much reduced. The spatial structure of the nonlinear state differs from that of any linear modes. A transient gas outflow is driven by the weakly nonlinear instability as it approaches saturation.
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