Small-scale turbulent dynamo

Details Small-scale turbulent dynamo Small-scale turbulent dynamo

1999-06-17

arxiv.org/abs/chao-dyn/9906030v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, no figures

Scientific paper

10.1103/PhysRevLett.83.4065

Kinematic dynamo theory is presented here for turbulent conductive fluids. We describe how inhomogeneous magnetic fluctuations are generated below the viscous scale of turbulence where the spatial smoothness of the velocity permits a systematic analysis of the Lagrangian path dynamics. We find analytically the moments and multi-point correlation functions of the magnetic field at small yet finite magnetic diffusivity. We show that the field is concentrated in long narrow strips and describe anomalous scalings and angular singularities of the multi-point correlation functions which are manifestations of field's intermittency. The growth rate of the magnetic field in a typical realization is found to be half the difference of two Lyapunov exponents of the same sign.

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