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arXiv 1105.4285astro-ph.SR
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平均场太阳发电机问题中的湍流交叉螺旋度

Turbulent cross-helicity in the mean-field solar dynamo problem

V. V. Pipin, K. M. Kuzanyan, H. Zhang, A. G. Kosovichev

摘要:

我们研究了湍流交叉螺旋度的动力学和统计特性(对齐的脉动速度和磁场分量的相关性)。我们导出了控制湍流交叉螺旋度的产生和演化的方程,并讨论了它对发电机的意义。利用问题的对称性,我们提出了一个湍流交叉螺旋度赝标量的一般表达式,并计算了湍流系数。考虑了密度分层、大尺度磁场、差异旋转和湍流对流的影响。我们研究了分布平均场发电机模型和通量输运发电机模型中这些效应对跨螺旋度演化的相对贡献。我们发现,从密度分层的贡献如下的径向磁场的演变,而大规模的电流产生一个更复杂的模式的交叉螺旋的可比幅度。我们认为交叉螺旋度的观测分析结果将取决于平均尺度。我们的研究结果表明,交叉螺旋度的演变模式强烈依赖于发电机机制的细节。因此,我们预计,直接观测太阳上的交叉螺旋度可能有助于诊断太阳发电机过程的目的。

英文摘要:

We study the dynamical and statistical properties of turbulent cross-helicity (correlation of the aligned fluctuating velocity and magnetic field components). We derive an equation governing generation and evolution of the turbulent cross-helicity and discuss its meaning for the dynamo. Using symmetry properties of the problem we suggest a general expression for the turbulent cross-helicity pseudo-scalar and compute the turbulent coefficients in this expression. Effects of the density stratification, large-scale magnetic fields, differential rotation and turbulent convection are taken into account. We investigate the relative contribution of these effects to the cross-helicity evolution for two kinds of dynamo models of the solar cycle including a distributed mean-field model and a flux-transport dynamo model. We show that the contribution from the density stratification follows the evolution of the radial magnetic field, while large-scale electric currents produce a more complicated pattern of the cross-helicity of the comparable magnitude. We suggest that the results of observational analysis of the cross-helicity will depend on the averaging scales. Our results show that the pattern of the cross-helicity evolution strongly depends on details of the dynamo mechanism. Thus, we anticipate that direct observations of the cross-helicity on the Sun may serve for the diagnostic purpose of the solar dynamo process.

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