Magnetic fields from Multiplicative Chaos
arXiv:2005.11972 · doi:10.1093/mnras/staa1514
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.
22 pages, 9 figures, Accepted for publication in MNRAS
References in corpus (28)
- Interstellar Turbulence I: Observations and Processes
- Origin of Galactic and Extragalactic Magnetic Fields
- Mayavi: a package for 3D visualization of scientific data
- Spectrum of magnetohydrodynamic turbulence
- Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
- Dynamo theories
- Log-infinitely divisible multifractal processes
- Lagrangian dynamics and statistical geometric structure of turbulence
- Magnetic fields in the Large-Scale Structure of the Universe
- Astrophysical hydromagnetic turbulence
- Thermodynamic ground states of platinum metal nitrides
- The Turbulent Dynamo
- A statistical model of three-dimensional anisotropy and intermittency in strong Alfvénic turbulence
- High resolution 21 cm mapping of the Ursa Major Galactic cirrus: power spectra of the high-latitude HI gas
- A phenomenological theory of Eulerian and Lagrangian velocity fluctuations in turbulent flows
- Plasma turbulence in the interstellar medium
- Cosmic Rays in Intermittent Magnetic Fields
- From primordial seed magnetic fields to the galactic dynamo
- A dissipative random velocity field for fully developed fluid turbulence
- Relative distribution of cosmic rays and magnetic fields
- Practical Modeling of Large-Scale Galactic Magnetic Fields: Status and Prospects
- A Stochastic Representation of the Local Structure of Turbulence
- Hydrodynamic turbulence and intermittent random fields
- A multifractal model for the velocity gradients dynamics in turbulent flows
- Intermittency and universality in a Lagrangian model of velocity gradients in three-dimensional turbulence
- A fast algorithm for a three-dimensional synthetic model of intermittent turbulence
- Gaussian multiplicative Chaos for symmetric isotropic matrices
- A Lagrangian model for the evolution of turbulent magnetic and passive scalar fields
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