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arXiv 0811.0822astro-ph
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MHD的密度研究:统计矩、相关和双谱

Density Studies of MHD Interstellar Turbulence: Statistical Moments, Correlations and Bispectrum

Blakesley Burkhart, D. Falceta-Goncalves, G. Kowal, A. Lazarian

摘要:

我们提出了一些统计工具,获得研究分子云和弥漫的星际介质湍流。在我们的试验中,我们采用了三维512立方可压缩MHD等温模拟,对不同的音速和Alfvenic马赫数进行了模拟。我们介绍的双谱,一个新的工具,统计研究的星际介质,不同于普通的功率谱的湍流,保留的相位信息的随机场。我们表明,3D随机密度场和列密度,可从观测的双谱是相似的。我们使用双谱技术来定义的湍流能量级联中的非线性波-波相互作用的作用。我们还得到了密度和柱密度随磁场强度变化的双谱函数。较大的音速马赫数值导致不同波数模态的相关性增加。这种效应随着磁场强度的增加而变得更加明显。除了双谱,我们还计算了密度和柱密度的第三和第四统计矩,即偏度和峰度。我们发现偏度和峰度与音速马赫数有很强的相关性。特别地,随着该数量的增加,密度分布的不对称性也增加。研究了二维柱密度与速度色散和磁场的关系,以及三维柱密度与磁场能、动能和Alfven马赫数的关系。结果表明,在高音速马赫数下,柱密度与磁场呈线性关系。这种趋势与湍流动能无关,可以用来表征ISM中低密度团块的物理性质的不均匀性。

英文摘要:

We present a number of statistical tools for obtaining studying turbulence in molecular clouds and diffuse interstellar medium. For our tests we used of three-dimensional 512 cube compressible MHD isothermal simulations performed for different sonic and Alfvenic Mach numbers. We introduce the bispectrum, a new tool for statistical studies of the interstellar medium which, unlike an ordinary power spectrum of turbulence, preserves the phase information of the stochastic field. We show that the bispectra of the 3D stochastic density field and of column densities, available from observations, are similar. We use the bispectrum technique to define the role of non-linear wave-wave interactions in the turbulent energy cascade. We also obtained the bispectrum function for density and column densities with varying magnetic field strength. Larger values of sonic Mach number result in increased correlations for modes with different wavenumbers. This effect becomes more evident with increasing magnetic field intensity. In addition to the bispectrum, we calculated the 3rd and 4th statistical moments of density and column density, namely, skewness and kurtosis, respectively. We found a strong dependence of skewness and kurtosis with the sonic Mach number. In particular, as this number increases, so does the asymmetry of the density distribution. We also studied the correlations of 2D column density with dispersion of velocities and magnetic field, as well as the correlations of 3D density with magentic and kinetic energy and Alfven Mach number for comparison. Our results show that column density is linearly correlated with magnetic field for high sonic Mach number. This trend is independent of the turbulent kinetic energy and can be used to characterize inhomogeneities of physical properties in low density clumps in the ISM.

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