Nonuniversality and finite dissipation in magnetohydrodynamic turbulence

  • Moritz F. Linkmann (Creator)
  • Arjun Berera (Creator)
  • W. David McComb (Creator)
  • Mairi E. McKay (Creator)

Dataset

Description

This dataset contains the results of the study discussed in the paper 'Nonuniversality and finite dissipation in decaying magnetohydrodynamic turbulence'

Abstract

[paper abstract]: "A model equation for the Reynolds number dependence of the dimensionless dissipation rate in freely decaying homogeneous magnetohydrodynamic turbulence in the absence of a mean magnetic field is derived from the real-space energy balance equation, leading to Cε=Cε,∞+C/Rz−+O(1/R2z−)), where Rz− is a generalized Reynolds number. The constant Cε,∞ describes the total energy transfer flux. This flux depends on magnetic and cross helicities, because these affect the nonlinear transfer of energy, suggesting that the value of Cε,∞ is not universal. Direct numerical simulations were conducted on up to 20483 grid points, showing good agreement between data and the model. The model suggests that the magnitude of cosmological-scale magnetic fields is controlled by the values of the vector field correlations. The ideas introduced here can be used to derive similar model equations for other turbulent systems."
Date made available12 May 2015
PublisherUniversity of Edinburgh. School of Physics and Astronomy

Cite this