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 …

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 …

The generation of a magnetic field in an electrically conducting fluid generally involves the
complicated nonlinear interaction of flow turbulence, rotation and field. This dynamo process …

Using direct numerical simulations (DNS), we study laminar and turbulent dynamos in chiral
magnetohydrodynamics with an extended set of equations that accounts for an additional …

Astrophysical magnetic fields often display remarkable organization, despite being
generated by dynamo action driven by turbulent flows at high conductivity,. An example is …

Turbulence and the associated turbulent transport of scalar and vector fields is a classical
physics problem that has dazzled scientists for over a century, yet many fundamental …

A rigorous theory for the generation of a large-scale magnetic field by random nonhelically
forced motions of a conducting fluid combined with a linear shear is presented in the …

We consider the generation of magnetic activity—dynamo waves—in the astrophysical limit
of very large magnetic Reynolds number. We consider kinematic dynamo action for a system …

The shear-current effect (SCE) of mean-field dynamo theory refers to the combination of a
shear flow and a turbulent coefficient β 21 with a favourable negative sign for exponential …

We present a model of large-scale dynamo action in a shear flow that has stochastic, zero-
mean fluctuations of the α parameter. This is based on a minimal extension of the Kraichnan …