动力作用的临界维度上限：d$维闭合模型研究

arXiv - PHYS - Plasma Physics Pub Date : 2024-08-02 DOI:arxiv-2408.01266

Sugan Durai Murugan, Giorgio Krstulovic, Dario Vincenzi, Samriddhi Sankar Ray

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引用次数: 0

摘要

我们构建了一个 $d$ 维涡流阻尼准正态马尔可夫封闭模型（EDQNM）来研究任意维度的动力作用。特别是，我们找到了在这个不可压缩问题中持续动力作用的下$d_L$和上$d_U$临界维数。我们的模型可用于未来的研究，包括螺旋效应、可压缩效应以及广泛的磁雷诺数和普朗特数。

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An upper critical dimension for dynamo action: A $d$-dimensional closure model study

We construct a $d$-dimensional Eddy Damped Quasi-Normal Markovian (EDQNM) Closure Model to study dynamo action in arbitrary dimensions. In particular, we find lower $d_L$ and upper $d_U$ critical dimensions for sustained dynamo action in this incompressible problem. Our model is adaptable for future studies incorporating helicity, compressible effects and a wide range of magnetic Reynolds and Prandtl numbers.

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arXiv - PHYS - Plasma Physics

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