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arXiv 0812.2471astro-ph
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吸积盘II中湍流涨落对螺旋密度波的激发:MRI驱动turbulence的数值模拟

The excitation of spiral density waves through turbulent fluctuations in accretion discs II: Numerical Simulations with MRI driven turbulence

T. Heinemann, J. C. B. Papaloizou

摘要:

我们提出了完全三维的局部MRI模拟与研究的非轴对称螺旋密度波,观察总是存在于这样的模拟的激励的对象。他们是潜在的重要影响原行星迁移通过相关的随机引力的作用,并在MHD不活跃地区产生剩余的运输。我们进行的模拟是零净流量,并产生α ~ 0.005的平均活动水平。我们揭示了负责这些波的激发的机制的性质,通过确定参与状态变量的傅立叶变换的随时间变化的演变。主导波被发现没有垂直结构,并在周期性重复摆动,他们从领先到尾随的变化过程中被激发。这种摆动的演变的初始阶段被认为是在很好的协议与预期的WKBJ理论在前面的论文中开发的Heinemann和Papaloizou。我们表明,重要的源项引起的波的激发有关的量,减少到位涡的小扰动,从背景状态没有垂直依赖。我们发现,均方根密度波动与波正相关,这个数量和一般水平的磁流体湍流。与螺旋密度波在我们的模拟中产生的平均角动量输运估计是一个显着的分数与湍流雷诺应力。

英文摘要:

We present fully three-dimensional local MRI simulations with the object of studying the excitation of non-axisymmetric spiral density waves that are observed to always be present in such simulations. They are potentially important for affecting protoplanetary migration through the action of associated stochastic gravitational forces and producing residual transport in MHD inactive regions. The simulations we perform are with zero net flux and produce mean activity levels of alpha ~ 0.005. We reveal the nature of the mechanism responsible for the excitation of these waves by determining the time dependent evolution of the Fourier transforms of the participating state variables. The dominant waves are found to have no vertical structure and to be excited during periodically repeating swings in which they change from leading to trailing. The initial phase of the evolution of such a swing is found to be in excellent agreement with that expected from the WKBJ theory developed in a preceding paper by Heinemann & Papaloizou. We demonstrate that the important source terms causing excitation of the waves are related to a quantity that reduces to the potential vorticity for small perturbations from the background state with no vertical dependence. We find that the root mean square density fluctuations associated with the waves are positively correlated with both this quantity and the general level of hydromagnetic turbulence. The mean angular momentum transport associated with spiral density waves generated in our simulations is estimated to be a significant fraction of that associated with the turbulent Reynolds stress.

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