Abstract
The correlation time of the velocity in a magnetohydrodynamic flow plays an important role in several models of dynamo theory. In particular δ-correlated flows and asymptotic analyses for very small correlation times have been often considered in the study of kinematic dynamos with random plasma flows. It is rigorously proved here that the correlation time in a real flow is bounded below by a positive quantity depending only on the total enstrophy. As a consequence, two-dimensional flows as well as physically realistic three-dimensional ones, including the classical models of homogeneous turbulence, posses a minimum correlation time weakly dependent on the initial condition. This emphasises the need to be cautious when taking random flows as depicting real physical processes.
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