When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

The current understanding of astrophysical magnetic fields is reviewed, focusing on their
generation and maintenance by turbulence. In the astrophysical context this generation is …

These lecture notes are based on a tutorial given in 2017 at a plasma physics winter school
in Les Houches. Their aim is to provide a self-contained graduate-student level introduction …

We report the results of an extensive numerical study of the small-scale turbulent dynamo.
The primary focus is on the case of large magnetic Prandtl numbers Pr m, which is relevant …

Magnetic fields play an important role in astrophysical accretion discs and in the interstellar
and intergalactic medium. They drive jets, suppress fragmentation in star-forming clouds and …

Several recent advances in turbulent dynamo theory are reviewed. High resolution
simulations of small-scale and large-scale dynamo action in periodic domains are compared …

We study the amplification of magnetic fields during the formation of primordial halos. The
turbulence generated by gravitational infall motions during the formation of the first stars and …

Recent progress in astrophysical hydromagnetic turbulence is being reviewed. The physical
ideas behind the now widely accepted Goldreich–Sridhar model and its extension to …

This paper is a detailed report on a programme of direct numerical simulations of
incompressible nonhelical randomly forced magnetohydrodynamic (MHD) turbulence that …

The turbulent dynamo may explain the origin of cosmic magnetism. While the exponential
amplification of magnetic fields has been studied for incompressible gases, little is known …