T. Shiromizu et R. Nishi, Back reaction to the spectrum of magnetic field in the kinetic dynamo theory - Modified Kulsrud-Anderson equation, PROG T PHYS, 101(1), 1999, pp. 39-45
We take account of the lowest order back reaction on a fluid and modify the
Kulsrud-Anderson equation, partial derivative(t)epsilon(M) = 2(gamma)epsil
on(M), obtained in the kinetic dynamo theory, where epsilon(M) is the energ
y density of the magnetic field. We apply our results to certain astrophysi
cal stages where the magnetic field is expected to be amplified by the dyna
mo mechanism.