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 …

Constraining dynamo theories of magnetic field origin by observation is indispensable but
challenging, in part because the basic quantities measured by observers and predicted by …

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

Mean-field dynamo theory has important applications in solar physics and galactic
magnetism. We discuss some of the many turbulence effects relevant to the generation of …

Recent advances in mean-field theory are reviewed and applications to the Sun, late-type
stars, accretion disks, galaxies and the early Universe are discussed. We focus particularly …

The origin and maintenance of coherent magnetic fields in the Universe is reviewed with an
emphasis on the possible challenges that arise in their theoretical understanding. We begin …

A brief summary of the various observations and constraints that underlie solar dynamo
research are presented. The arguments that indicate that the solar dynamo is an alpha …

Fluxes of the magnetic helicity density play an important role in large-scale turbulent
dynamos, allowing the growth of large-scale magnetic fields while overcoming catastrophic …

We live in an age in which high-performance computing is transforming the way we do
science. Previously intractable problems are now becoming accessible by means of …

Magnetic fields of laboratory, planetary, stellar, and galactic plasmas commonly exhibit
significant order on large temporal or spatial scales compared to the otherwise random …