# Computation of Kolmogorov's Constant in Magnetohydrodynamic Turbulence

Source: [Computation of Kolmogorov's Constant in Magnetohydrodynamic Turbulence](<https://www.sota2.com/research/paper/68fa24252c2a37601939fc4b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T08:12:26.119Z

Authors: Mahendra K. Verma, Jayant K. Bhattacharjee

Published: 1995-09-05T10:06:08.000Z

## 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 $% E^u/E^b=0.5$, then it decreases to 3.55 in a fully magnetic limit $(E^u=0)$. When $E^u/E^b=1$, we find that $K=3.43$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/chao-dyn/9509001>)

[PDF](<https://arxiv.org/pdf/chao-dyn/9509001.pdf>)