# Direct Interaction Approximation of Magnetohydrodynamic Turbulence

Source: [Direct Interaction Approximation of Magnetohydrodynamic Turbulence](<https://www.sota2.com/research/paper/68fa21407a2b558e2933609a>)

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

Data updated: 2025-10-24T00:27:40.902Z

Authors: Mahendra K. Verma, Jayant K. Bhattacharjee

Published: 1995-09-05T10:03:31.000Z

## Abstract

In this paper we apply Kraichnan's direct interaction approximation, which is a one loop perturbation expansion, to magnetohydrodynamic turbulence. By substituting the energy spectra both from kolmogorov-like MHD turbulence phenomenology and a generalization of Dobrowolny et al.'s model we obtain Kolmogorov's and Kraichnan's constant for MHD turbulence. We find that the constants depend of the Alfv\\'en ratio and normalized cross helicity; the dependence has been studied here. We also demonstrate the inverse cascade of magnetic energy for Kolmogorov-like models. Our results are in general agreement with the earlier simulation results except for large normalized cross helicity.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/chao-dyn/9509003>)

[PDF](<https://arxiv.org/pdf/chao-dyn/9509003.pdf>)