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It is well known that non-ideal magnetohydrodynamic effects are important in the dynamics of molecular clouds: both ambipolar diffusion and possibly the Hall effect have been identified as significant. We present the results of a suite of simulations with a resolution of 512-cubed of turbulent decay in molecular clouds incorporating a simplified form of both ambipolar diffusion and the Hall effect simultaneously. The initial velocity field in the turbulence is varied from being super-Alfvénic and hypersonic, through to trans-Alfvénic but still supersonic.
Downes, T. & O'Sullivan, S. (2009). Nonideal Magnetohydrodynamic Turbulent Decay in Molecular Clouds. The Astrophysical Journal, vol. 701, no. 2, pg. 1258. doi:10.1088/0004-637X/701/2/1258