The Decay of Magnetohydrodynamic Turbulence from Power-Law Initial Conditions

Details The Decay of Magnetohydrodynamic Turbulence from Power-Law Initial Conditions The Decay of Magnetohydrodynamic Turbulence from Power-Law Initial Conditions

2003-07-10

arxiv.org/abs/cond-mat/0307243v2

Phys.Rev. E69 (2004) 046304

Physics

Condensed Matter

Statistical Mechanics

7 pages RevTex4, 11 figures, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.69.046304

We derive relations for the decay of the kinetic and magnetic energies and the growth of the Taylor and integral scales in unforced, incompressible, homogeneous and isotropic three-dimensional magnetohydrodynamic (3DMHD) turbulence with power-law initial energy spectra. We also derive bounds for the decay of the cross- and magnetic helicities. We then present results from systematic numerical studies of such decay both within the context of an MHD shell model and direct numerical simulations (DNS) of 3DMHD. We show explicitly that our results about the power-law decay of the energies hold for times $t

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