Computation of Kolmogorov's constant in magnetohydrodynamic turbulence

Abstract

In this paper we calculate Kolmogorov's constant for magnetohydrodynamic turbulence to one-loop order in perturbation theory using the direct-interaction approximation technique of Kraichnan. We have computed the constants for various E^u(k)/E^b(k), i.e. fluid-to-magnetic energy ratios when the normalized cross helicity is zero. We find that K increases from 1.47 to 4.12 as we go from the fully fluid liquid case (E^b = 0) to a situation when E^u/E^b = 0.5, then it decreases to 3.55 in a fully magnetic limit (E^u = 0). When E^u/E^b = 1, we find that K = 3.43.