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arXiv 1012.5284astro-ph.SRphysics.flu-dynphysics.plasm-ph
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Hall-MHD等离子体中剪切驱动的不稳定性

Shear-driven instabilities in Hall-MHD plasmas

Cecilia Bejarano, Daniel Gómez, Axel Brandenburg

摘要:

等离子体的大尺度动力学在磁流体力学(MHD)的框架内得到了很好的描述。然而,每当等离子体的离子密度变得足够低时,霍尔效应可能变得重要。霍尔效应在几种天体物理等离子体过程中的作用已被研究过,如磁重联、磁发电机、MHD湍流或MHD不稳定性。特别是,小尺度不稳定性的发展是必不可少的了解在一些天体物理等离子体的传输特性。磁旋转不稳定性发生在嵌入相对较弱的磁场中的差速旋转吸积盘中,这只是一个例子。大尺度速度流对小尺度不稳定性的影响通常用线性剪切流来近似。本文定量研究了大尺度剪切流中霍尔效应对等离子体的作用。更准确地说,我们表明,一个新的不稳定性的发展,只要存在的霍尔效应,因此,我们称之为霍尔磁剪切不稳定性。作为一个特殊的情况下,我们恢复所谓的磁旋转不稳定性和定量评估的作用,霍尔效应对其发展和演变。

英文摘要:

The large-scale dynamics of plasmas is well described within the framework of magnetohydrodynamics (MHD). However, whenever the ion density of the plasma becomes sufficiently low, the Hall effect is likely to become important. The role of the Hall effect has been studied in several astrophysical plasma processes, such as magnetic reconnection, magnetic dynamo, MHD turbulence or MHD instabilities. In particular, the development of small-scale instabilities is essential to understand the transport properties in a number of astrophysical plasmas. The magneto-rotational instability, which takes place in differentially rotating accretion disks embedded in relatively weak magnetic fields, is just one example. The influence of the large-scale velocity flows on small-scale instabilities is often approximated by a linear shear flow. In this paper we quantitatively study the role of the Hall effect on plasmas embedded in large-scale shear flows. More precisely, we show that a new instability develops as long as the Hall effect is present, which we therefore term as the Hall magneto-shear instability. As a particular case, we recover the so-called magneto-rotational instability and quantitatively assess the role of the Hall effect on its development and evolution.

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。

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