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arXiv 0910.0071astro-ph.SR
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平均电动势与mhd中的平均流量成正比turbulence

Mean electromotive force proportional to mean flow in mhd turbulence

K. -H. Rädler, A. Brandenburg

摘要:

在平均场磁流体力学中,由速度和磁场涨落引起的平均电动势起着至关重要的作用。一般来说,它由两部分组成,一部分与平均磁场无关,另一部分与平均磁场成比例。第一部分可以仅在存在MHD湍流的情况下为非零,例如,小型发电机的作用。它相当于一个电池,它让平均磁场从零增长到一个有限的值。第二部分包括,例如,α效应对于大型发电机是重要的。到目前为止,只讨论了上述平均电动势第一部分的几个例子。它表明,平均电动势的平均流体速度成正比,但独立的平均磁场,可能会发生在一个原来均匀的各向同性磁流体湍流,如果有非零相关的速度和电流波动,或什么是等价的,涡量和磁场波动。这超越了吉泽效应,吉泽效应在于平均电动势的出现,平均电动势与平均涡度或与旋转坐标系中定义科里奥利力的角速度成比例,并取决于由速度和磁场波动定义的交叉螺旋度。由于湍流的不均匀性的平均电动势的贡献也被认为是。以上和相关的发现可能产生的后果宇宙天体的磁场进行了讨论。

英文摘要:

In mean-field magnetohydrodynamics the mean electromotive force due to velocity and magnetic field fluctuations plays a crucial role. In general it consists of two parts, one independent of and another one proportional to the mean magnetic field. The first part may be nonzero only in the presence of mhd turbulence, maintained, e.g., by small-scale dynamo action. It corresponds to a battery, which lets a mean magnetic field grow from zero to a finite value. The second part, which covers, e.g., the alpha effect, is important for large-scale dynamos. Only a few examples of the aforementioned first part of mean electromotive force have been discussed so far. It is shown that a mean electromotive force proportional to the mean fluid velocity, but independent of the mean magnetic field, may occur in an originally homogeneous isotropic mhd turbulence if there are nonzero correlations of velocity and electric current fluctuations or, what is equivalent, of vorticity and magnetic field fluctuations. This goes beyond the Yoshizawa effect, which consists in the occurrence of mean electromotive forces proportional to the mean vorticity or to the angular velocity defining the Coriolis force in a rotating frame and depends on the cross-helicity defined by the velocity and magnetic field fluctuations. Contributions to the mean electromotive force due to inhomogeneity of the turbulence are also considered. Possible consequences of the above and related findings for the generation of magnetic fields in cosmic bodies are discussed.

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