Oughton, S., Wan, M., Servidio, S. & Matthaeus, W.H. (2013). On the origin of anisotropy in magnetohydrodynamic turbulence: the role of higher-order correlations. The Astrophysical Journal, 768(10), 1-6.
Permanent Research Commons link: http://hdl.handle.net/10289/7618
Evolution of magnetohydrodynamic turbulence is often discussed in terms of second-order statistics like the energy spectra, but consideration of the structure of the von K´arm´an–Howarth hierarchy for MHD indicates that higherorder statistical correlations occupy an influential role. Here we show that both spectral anisotropy and energy decay are strongly associated with higher-order statistics. Dynamical emergence of spectral anisotropy must occur at a higher order in the statistical hierarchy, while numerical evidence suggests that strong variations in energy decay are connected with variations in higher-order statistics.
This article has been published in the Astrophysical Journal. © 2013 The American Astronomical Society.