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A&A 400, 9-18 (2003)
DOI: 10.1051/0004-6361:20021859
Nonlinear magnetic diffusion and magnetic helicity transport in galactic dynamos
N. Kleeorin1, D. Moss2, I. Rogachevskii1 and D. Sokoloff31 Department of Mechanical Engineering, Ben-Gurion University of Negev, POB 653, 84105 Beer-Sheva, Israel
e-mail: nat@menix.bgu.ac.il; gary@menix.bgu.ac.il
2 Department of Mathematics, University of Manchester, Manchester M13 9PL, UK
e-mail: moss@maths.man.ac.uk
3 Department of Physics, Moscow State University, Moscow 119992, Russia
e-mail: sokoloff@dds.srcc.msu.su
(Received 21 October 2002 / Accepted 13 December 2002 )
Abstract
We have extended our previous mean-field galactic dynamo
model which included algebraic and dynamic alpha nonlinearities
(Kleeorin et al. 2002), to include also a quenching of the turbulent
diffusivity. We readily obtain equilibrium states for the
large-scale magnetic field in the local disc dynamo model, and
these fields have strengths that are comparable to the
equipartition field strength. We find that the algebraic
nonlinearity alone (i.e. quenching of both the
effect
and turbulent magnetic diffusion) cannot saturate the growth of
the mean magnetic field; only the combined effect of algebraic and
dynamic nonlinearities can limit the growth of the mean magnetic
field. However, in contrast to our earlier work without quenching
of the turbulent diffusivity, we cannot now find satisfactory
solutions in the no-
z approximation to the axisymmetric galactic dynamo
problem.
Key words: galaxies: magnetic fields
Offprint request: I. Rogachevskii, gary@menix.bgu.ac.il
© ESO 2003
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