Shell models of hydrodynamic turbulence originated in the seventies. Their main aim was to
describe the statistics of homogeneous and isotropic turbulence in spectral space, using a …

In three-dimensional hydrodynamic turbulence forced at large length scales, a constant
energy flux Π u flows from large scales to intermediate scales, and then to small scales. It is …

This article reviews recent studies of scale interactions in magnetohydrodynamic turbulence.
The present-day increase of computing power, which allows for the exploration of different …

The small-scale dynamo plays a substantial role in magnetizing the Universe under a large
range of conditions, including subsonic turbulence at low Mach numbers, highly supersonic …

In this article, on the basis of the Langevin equation applied to velocity fluctuations, we
numerically model the partial variance of increments, which is a useful tool to measure time …

Kappa distributions (or κ-like distributions) represent a robust framework to characterize and
understand complex phenomena with high degrees of freedom, as turbulent systems, using …

While magnetized turbulence is ubiquitous in many astrophysical and terrestrial systems,
our understanding of even the simplest physical description of this phenomena, ideal …

In order better to understand how dynamo systems saturate, we study the kinematic dynamo
properties of velocity fields that arise from nonlinearly saturated dynamos. The technique is …

A shell model for magnetohydrodynamics (MHD) is derived directly from the dynamical
system driving the evolution of three helical modes interacting in a triad. The use of helical …

A class of shell models is proposed where the shell variables are defined on a recurrent
sequence of integer wave numbers such as the Fibonacci or the Padovan series or their …