Modeling the dissipation rate of cross-correlation between the velocity and magnetic-field fluctuations

Abstract

        Coupled with the large-scale vortical motion, the cross-correlation between the velocity and magnetic-field fluctuations contributes to the turbulent electromotive force. The cross correlation is expected to play an important role in dynamo actions in particular in the cases with global rotational motions. In order to estimate how much the cross-correlation exists in turbulence, we need proper evaluation of the cross-correlation dissipation rate as well as its production rate. With the aid of analytical statistical theory of inhomogeneous magnetohydrodynamic (MHD) turbulence, we derived two types of model for the turbulent cross-correlation dissipation: (i) the algebraic model; and (ii) the transport equation of the turbulent cross-correlation dissipation. Relationship between these two models is discussed. [This abstract is not included in the PDF]