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arXiv 0906.4422astro-ph.SRastro-ph.HE
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磁旋转不稳定性驱动的湍流电阻率

Turbulent resistivity driven by the magnetorotational instability

Sebastien Fromang, James M. Stone

摘要:

我们测量的湍流电阻率的非线性制度的MRI,并评估湍流磁普朗特数。我们进行了一系列的数值模拟与欧拉有限体积代码雅典娜和拉美西斯的剪切盒模型的框架。我们考虑模型,包括明确的耗散系数和磁场拓扑结构,使净磁通量线程框在垂直和方位角方向消失。我们首先证明了良好的协议之间的两个代码通过比较的湍流状态的模拟具有相同的微观扩散系数(粘度和电阻率)的属性。我们发现,湍流的属性不改变时,盒的大小增加在径向方向上,只要它是细长的方位角方向。为了测量圆盘中的湍流电阻率,我们在流动上施加固定的电动势,并测量产生的饱和磁场的幅度。我们得到的湍流电阻率是在粗略的协议与平均场论,如二阶平滑近似。该数值转化为一阶单位的湍流磁普朗特数Pm_t。Pm_t似乎是我们施加的力的增函数。它也变得更小的盒子尺寸在径向方向上增加,在很好的协议与以前的结果在非常大的盒子。我们的结果是在一般协议与其他最近发表的论文研究同样的问题,但使用不同的方法。因此,我们关于Pm_t是单位阶的结论是稳健的.

英文摘要:

We measure the turbulent resistivity in the nonlinear regime of the MRI, and evaluate the turbulent magnetic Prandtl number. We perform a set of numerical simulations with the Eulerian finite volume codes Athena and Ramses in the framework of the shearing box model. We consider models including explicit dissipation coefficients and magnetic field topologies such that the net magnetic flux threading the box in both the vertical and azimuthal directions vanishes. We first demonstrate good agreement between the two codes by comparing the properties of the turbulent states in simulations having identical microscopic diffusion coefficients (viscosity and resistivity). We find the properties of the turbulence do not change when the box size is increased in the radial direction, provided it is elongated in the azimuthal direction. To measure the turbulent resistivity in the disk, we impose a fixed electromotive force on the flow and measure the amplitude of the saturated magnetic field that results. We obtain a turbulent resistivity that is in rough agreement with mean field theories like the Second Order Smoothing Approximation. The numerical value translates into a turbulent magnetic Prandtl number Pm_t of order unity. Pm_t appears to be an increasing function of the forcing we impose. It also becomes smaller as the box size is increased in the radial direction, in good agreement with previous results obtained in very large boxes. Our results are in general agreement with other recently published papers studying the same problem but using different methodology. Thus, our conclusion that Pm_t is of order unity appears robust.

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