Magnetic fields from Multiplicative Chaos
Abstract
An analytical model for fully developed three-dimensional incompressible turbulence was recently proposed in the hydrodynamics community, based on the concept of multiplicative chaos. It consists of a random field represented by means of a stochastic integral, which, with only a few parameters, shares many properties with experimental and numerical turbulence, including in particular energy transfer through scales (the cascade) and intermittency (non-Gaussianity) which is most conveniently controlled with a single parameter. Here, we propose three models extending this approach to MHD turbulence. Our formulae provide physically motivated 3D models of a turbulent velocity field and magnetic field coupled together. Besides its theoretical value, this work is meant to provide a tool for observers: a dozen of physically meaningful free parameters enter the description, which is useful to characterize astrophysical data.
Keywords
Cite
@article{arxiv.2005.11972,
title = {Magnetic fields from Multiplicative Chaos},
author = {J. -B. Durrive and P. Lesaffre and K. Ferrière},
journal= {arXiv preprint arXiv:2005.11972},
year = {2020}
}
Comments
22 pages, 9 figures, Accepted for publication in MNRAS