二维混沌流中电阻增长阶段磁场的空间统计特性
Spatial statistics of magnetic field in two-dimensional chaotic flow in the resistive growth stage
摘要：
研究了二维导电流体混沌流中磁场的关联张量。它表明，有一个阶段的电阻演化的场的放大器随时间呈指数增长，这与文献中的陈述。两点和四点场关联张量的计算显式在这一阶段的Batchelor-Kraichnan-Kazantsev模型的框架。这些张量表明，在空间和时间的场波动的高度间歇性的统计。
英文摘要：
The correlation tensors of magnetic field in a two-dimensional chaotic flow of conducting fluid are studied. It is shown that there is a stage of resistive evolution where the field correlators grow exponentially with time what contradicts to the statements present in literature. The two- and four-point field correlation tensors are computed explicitly in this stage in the framework of Batchelor-Kraichnan-Kazantsev model. These tensors demonstrate highly intermittent statistics of the field fluctuations both in space and time.
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