Abstract
We use data from numerical simulations of dynamo-generated turbulence in the shearing box approximation to determine the dynamo a-effect and its dependence on the rotation law O(r). The data suggest that the dynamo a is not simply proportional to the local angular velocity O(r), as is usually assumed, but rather is proportional to the local vorticity w(r) = r-1d/dr(Or 2 ). We also find tentative evidence to support the proposition that the backreaction of the magnetic field on a sets in when the field reaches equipartition with the energy in the turbulent motions. Furthermore, we propose an explanation as to why the sign of a is found to be opposite to that in the standard picture.
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