@article{ISI:000276199400064,
 abstract = {We carry out systematic and high-resolution studies of dynamo action in
a shell model for magnetohydro-dynamic (MHD) turbulence over wide ranges
of the magnetic Prandtl number Pr-M and the magnetic Reynolds number
Re-M. Our study suggests that it is natural to think of dynamo onset as
a nonequilibrium first-order phase transition between two different
turbulent, but statistically steady, states. The ratio of the magnetic
and kinetic energies is a convenient order parameter for this
transition. By using this order parameter, we obtain the stability
diagram (or nonequilibrium phase diagram) for dynamo formation in our
MHD shell model in the (Pr-M(-1), Re-M) plane. The dynamo boundary,
which separates dynamo and no-dynamo regions, appears to have a fractal
character. We obtain a hysteretic behavior of the order parameter across
this boundary and suggestions of nucleation-type phenomena.},
 article-number = {036317},
 author = {Sahoo, Ganapati and Mitra, Dhrubaditya and Pandit, Rahul},
 doi = {10.1103/PhysRevE.81.036317},
 eissn = {1550-2376},
 issn = {1539-3755},
 journal = {PHYSICAL REVIEW E},
 month = {MAR},
 number = {3, 2},
 orcid-numbers = {Sahoo, Ganapati/0000-0003-2730-7822},
 times-cited = {13},
 title = {Dynamo onset as a first-order transition: Lessons from a shell model for
magnetohydrodynamics},
 unique-id = {ISI:000276199400064},
 volume = {81},
 year = {2010}
}