Physics – Plasma Physics
Scientific paper
2009-04-30
Physics of Plasmas, 16, 042307 (2009)
Physics
Plasma Physics
16 pages, 6 figures, accepted by Physics of Plasmas. For high resolution figures, please visit the PoP website or contact C.Wa
Scientific paper
10.1063/1.3111033
Electron magnetohydrodynamic (EMHD) turbulence in two dimensions is studied via high-resolution numerical simulations with a normal diffusivity. The resulting energy spectra asymptotically approach a $k^{-5/2}$ law with increasing $R_B$, the ratio of the nonlinear to linear timescales in the governing equation. No evidence is found of a dissipative cutoff, consistent with non-local spectral energy transfer. Dissipative cutoffs found in previous studies are explained as artificial effects of hyperdiffusivity. Relatively stationary structures are found to develop in time, rather than the variability found in ordinary or MHD turbulence. Further, EMHD turbulence displays scale-dependent anisotropy with reduced energy transfer in the direction parallel to the uniform background field, consistent with previous studies. Finally, the governing equation is found to yield an inverse cascade, at least partially transferring magnetic energy from small to large scales.
Hollerbach Rainer
Wareing Christopher John
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