Mean magnetic field renormalization and Kolmogorov's energy spectrum in magnetohydrodynamic turbulence

A self-consistent renormalization group procedure has been constructed for magnetohydrodynamic turbulence in which small wave number modes are average d out, and the effective mean magnetic field at large wave numbers is obtai ned self consistently. In this renormalization group scheme, it is found th at an E( k) proportional to k(-5/3) (Kolmogorov's spectrum) is a self-consi stent solution, and the procedure yields a self- consistent effective mean magnetic field proportional to k(-1/3). It is also deduced from the formali sm that the magnitude of the cascade rate decreases as the strength of the mean magnetic field is increased. (C) 1999 American Institute of Physics. [ S1070-664X(99)00805-8].