• Field theoretic calculation of energy cascade rates in non-helical magnetohydrodynamic turbulence

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/062/06/1327-1328

• # Keywords

Magnetohydrodynamics; turbulence; ﬁeld theory.

• # Abstract

Energy cascade rates and Kolmogorov’s constant for non-helical steady magnetohydrodynamic turbulence have been calculated by solving the ﬂux equations to the ﬁrst order in perturbation. For zero cross helicity and space dimension $d = 3$, magnetic energy cascades from large length-scales to small length-scales (forward cascade). In addition, there are energy ﬂuxes from large-scale magnetic ﬁeld to small-scale velocity ﬁeld, large-scale velocity ﬁeld to small-scale magnetic ﬁeld, and large-scale velocity ﬁeld to large-scale magnetic ﬁeld. Kolmogorov’s constant for magnetohydrodynamics is approximately equal to that for ﬂuid turbulence $(\approx 1.6)$ for Alfvén ratio $0.5\leq r_{A}\leq \infty$. For higher space-dimensions, the energy ﬂuxes are qualitatively similar, and Kolmogorov’s constant varies as $d^{1/3}$. For the normalized cross helicity $\sigma_{c}\to 1$, the cascade rates are proportional to $(1-\sigma_{c})/(1+\sigma_{c})$, and the Kolmogorov’s constants vary signiﬁcantly with $\sigma_{c}$.

• # Author Affiliations

1. Department of Physics, Indian Institute of Technology, Kanpur 208 016, India

• # Pramana – Journal of Physics

Volume 97, 2023
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019