Velocity Centroids as Tracers of the Turbulent Velocity Statistics
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Abstract
We use the results of magnetohydrodynamic (MHD) simulations to emulate spectroscopic observations, and produce maps of variations of velocity centroids to study their scaling properties. We compare them with those of the underlying velocity field, and analytic predictions presented in a previous paper (Lazarian & Esquivel 2003). We tested, with success, a criteria for recovering velocity statistics from velocity centroids derived in our previous work. That is, if 〈S 2 〉 ≫ 〈v 2 〉〈I 2 〉 (where S is a 2D map of “unnormalized”, v velocity, and I integrated intensity map-column density-), then the structure function of the centroids is dominated by the structure function of velocity. We show that it is possible to extract the velocity statistics using centroids for subsonic and mildly supersonic turbulence (e. g. Mach numbers � 2.5). While, towards higher Mach numbers other effects could affect significantly the statistics of centroids.
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