论文标题

能量粒子垂直扩散:嘈杂的磁流失动力湍流中的仿真和理论

Energetic Particle Perpendicular Diffusion: Simulations and Theory in Noisy Reduced Magnetohydrodynamic Turbulence

论文作者

Snodin, A. P., Jitsuk, T., Ruffolo, D., Matthaeus, W. H.

论文摘要

通常以平行的扩散和垂直于大规模(或均值)磁场的垂直于湍流磁场中的能量电荷颗粒(例如,宇宙射线)的运输。非线性指南中心理论(NLGC)一直是垂直扩散理论。该理论的最新版本基于磁场线的随机弹道扩展和回溯校正(RBD/BC),与测试粒子模拟的两组分磁性涡轮电力模型显示出良好的一致性。本研究的目的是通过将其应用于噪声还原磁流体动力(NRMHD)湍流模型来测试改进理论的通用性,确定与田线随机步行(FLRW)和统一的非线性(ULLT)理论和我们的测试粒子模拟的垂直延伸扩散系数相比。合成的NRMHD湍流模型为能量颗粒传输创造了特殊条件,如果较高的平行波数在较高的平行波数下没有磁波动,因此,如果粒子Larmor Radius $ r _ {\ rm l} $甚至比最小谐音尺度小一点,则没有谐振的平行散射。这导致并行均值自由路径$λ_\并行$,带有$ r _ {\ rm lm l} $中的非单调变化。在考虑的理论中,仅RBD/BC匹配了在考虑的参数范围内的两个倍以内的模拟。即使理论取决于$λ_\并行$,并且对$ r _ {\ rm l} $没有明确的依赖,即使该理论取决于$λ_\ farallel $,也可以获得此精度。此外,在许多情况下,Unlt理论通常提供准确的结果,甚至FLRW限制也提供了非常简单合理的近似值。

The transport of energetic charged particles (e.g., cosmic rays) in turbulent magnetic fields is usually characterized in terms of the diffusion parallel and perpendicular to a large-scale (or mean) magnetic field. The nonlinear guiding center theory (NLGC) has been a prominent perpendicular diffusion theory. A recent version of this theory, based on random ballistic spreading of magnetic field lines and a backtracking correction (RBD/BC), has shown good agreement with test particle simulations for a two-component magnetic turbulence model. The aim of the present study is to test the generality of the improved theory by applying it to the noisy reduced magnetohydrodynamic (NRMHD) turbulence model, determining perpendicular diffusion coefficients that are compared with those from the field line random walk (FLRW) and unified nonlinear (UNLT) theories and our test particle simulations. The synthetic NRMHD turbulence model creates special conditions for energetic particle transport, with no magnetic fluctuations at higher parallel wavenumbers so there is no resonant parallel scattering if the particle Larmor radius $R_{\rm L}$ is even slightly smaller than the minimum resonant scale. This leads to non-monotonic variation in the parallel mean free path $λ_\parallel$ with $R_{\rm L}$. Among the theories considered, only RBD/BC matches simulations within a factor of two over the range of parameters considered. This accuracy is obtained even though the theory depends on $λ_\parallel$ and has no explicit dependence on $R_{\rm L}$. In addition, the UNLT theory often provides accurate results and even the FLRW limit provides a very simple and reasonable approximation in many cases.

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