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 fully fluid case $(E^b=0)$ to a situation when , then it decreases to 3.55 in a fully magnetic limit $(E^u=0)$. When $E^u/E^b=1$, we find that $K=3.43$.

Latex, 10 pages, no figures, To appear in Euro. Phys. Lett., 1995

Cited by in corpus (5)

• Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
• Mean magnetic field renormalization and Kolmogorov's energy spectrum in MHD turbulence
• Field theoretic calculation of energy cascade rates in nonhelical magnetohydrodynamic turbulence
• Calculation of renormalized viscosity and resistivity in magnetohydrodynamic turbulence
• Statistical properties of driven Magnetohydrodynamic turbulence in three dimensions: Novel universality