Nonuniversality and finite dissipation in magnetohydrodynamic turbulence

This dataset contains the results of the study discussed in the paper 'Nonuniversality and finite dissipation in decaying magnetohydrodynamic turbulence': "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." [paper abstract]