Non-universal behaviour of helical two-dimensional three-component turbulence
Abstract
The dynamics of two-dimensional three-component (2D3C) flows is relevant to describe the long-time evolution of strongly rotating flows and/or of conducting fluids with a strong mean magnetic field. We show that in the presence of a strong helical forcing, the out-of-plane component ceases to behave as a passive advected quantity and develops a nontrivial dynamics which deeply changes its large-scale properties. We show that a small-scale helicity injection correlates the input on the 2D component with the one on the out-of-plane component. As a result, the third component develops a non-trivial energy transfer. The latter is mediated by homochiral triads, confirming the strong 3D nature of the leading dynamical interactions. In conclusion, we show that the out-of-plane component in a 2D3C flow enjoys strong non-universal properties as a function of the degree of mirror symmetry of the small-scale forcing.
Cite
@article{arxiv.1801.06091,
title = {Non-universal behaviour of helical two-dimensional three-component turbulence},
author = {Moritz Linkmann and Michele Buzzicotti and Luca Biferale},
journal= {arXiv preprint arXiv:1801.06091},
year = {2020}
}