Turbulent dynamo
Abstract
A solution of the kinematic dynamo problem for a random renovating flow modulating a turbulence is presented. A general solution of the Cauchy problem is first obtained for the exponentially growing solution of the magnetic field of an incomressible fluid with a constant magnetic diffusivity. The solution is then used to derive moment equations for the magnetic field for the case of a shorttime correlated velocity field. Finally, the dynamo theorem is presented, which describes the magnetic field behavior at R(m) (magnetic Reynolds number) approaching infinity. It is concluded that the field distribution is nonhomogeneous in space.
 Publication:

Nonlinear and Turbulent Processes in Physics
 Pub Date:
 1984
 Bibcode:
 1984ntpp.proc..481R
 Keywords:

 Computational Astrophysics;
 Dynamo Theory;
 Incompressible Fluids;
 Turbulent Flow;
 Cauchy Problem;
 Kinematics;
 Magnetic Moments;
 Astrophysics