Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phenomenology of turbulent dynamo growth and saturation   With a non local shell model of magnetohydrodynamic turbulence we investigate
numerically the turbulent dynamo action for low and high magnetic Prandtl
numbers ($Pm$). The results obtained in the kinematic regime and along the way
to dynamo saturation are understood in terms of a phenomenological approach
based on the local ($Pm\ll 1$) or non local ($Pm\gg 1$) nature of the energy
transfers. In both cases the magnetic energy grows at small scale and saturates
as an inverse `` cascade ''.

30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org