A solvable model for nonlinear mean field dynamo

被引：16

作者：

Boldyrev, S ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA

来源：

ASTROPHYSICAL JOURNAL | 2001年 / 562卷 / 02期

关键词：

MHD; turbulence;

D O I：

10.1086/323865

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We formulate a solvable model that describes the generation and saturation of a mean magnetic field in a dynamo with kinetic helicity, in the limit of a large magnetic Prandtl number. This model is based on the assumption that the stochastic part of the velocity field is Gaussian and white in time (the Kazantsev-Kraichnan ensemble), while the regular part describing the back-reaction of the magnetic field is chosen by balancing the viscous and Lorentz stresses in the MHD Navier-Stokes equation. The model provides an analytical explanation for previously obtained numerical results.

引用

页码：1081 / 1085

页数：5

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