arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1109.0974astro-ph.SRastro-ph.EPphysics.plasm-phphysics.space-ph
收藏

各向异性MHD Turbulence

Anisotropic MHD Turbulence

C. S. Ng, A. Bhattacharjee

摘要:

太阳风和星际介质中存在大尺度的磁场,使得磁流体动力学(MHD)湍流各向异性。在弱湍流极限中,三波相互作用占主导地位,分析和高分辨率的数值计算结果的基础上随机散射的剪切-阿尔文波平行于大尺度磁场传播,以及直接模拟严格证明了各向异性的能量谱,尺度为$k^{-2}_\perp$,而不是著名的Iroshnikov-Kraichnan(IK)频谱的$k^{-3/2}$的各向同性的情况下。即使在没有背景磁场的情况下,各向异性被发现开发相对于本地磁场,虽然能谱是全球各向同性的,并被发现是一致的与$k^{-3/2}$缩放。在直接数值模拟中还发现,能量级联率更接近于IK标度而不是Kolmogorov标度。最近对太阳风级联率的观测(作为质子温度和1天文单位处太阳风速度的函数)似乎支持这一结果[Vasquez等人,2007年]。

英文摘要:

The solar wind and the interstellar medium are permeated by large-scale magnetic fields that render magnetohydrodynamic (MHD) turbulence anisotropic. In the weak-turbulence limit in which three-wave interactions dominate, analytical and high-resolution numerical results based on random scattering of shear-Alfvén waves propagating parallel to a large-scale magnetic field, as well as direct simulations demonstrate rigorously an anisotropic energy spectrum that scales as $k^{-2}_\perp$, instead of the famous Iroshnikov-Kraichnan (IK) spectrum of $k^{-3/2}$ for the isotropic case. Even in the absence of a background magnetic field, anisotropy is found to develop with respect to the local magnetic field, although the energy spectrum is globally isotropic and is found to be consistent with a $k^{-3/2}$ scaling. It is also found in direct numerical simulations that the energy cascade rate is much closer to IK scaling than a Kolmogorov scaling. Recent observations in the solar wind on cascade rates (as functions of the proton temperature and solar wind speed at 1 AU) seem to support this result [Vasquez et al. 2007].

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑