Abstract
Mean-field electrodynamics, including both α and β effects while accounting for the effects of small-scale magnetic fields, is derived for incompressible magnetohydrodynamics. The principal result is α=(+R⋅∇×R)/(1+), β=; where , are conventional kinematic dynamo parameters, the reduction factor is proportional to the mean magnetic field R=B/(ρ, is the magnetic Reynolds number, and V is the characteristic turbulent velocity. This result follows from a generalization of the Zeldovich theorem to three dimensions, exploiting magnetic helicity balance.
- Received 6 December 1993
DOI:https://doi.org/10.1103/PhysRevLett.72.1651
©1994 American Physical Society