Statistics of Turbulence from Velocity Centroids

Details Statistics of Turbulence from Velocity Centroids Statistics of Turbulence from Velocity Centroids

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aas...20517301e&link_type=abstract

American Astronomical Society Meeting 205, #173.01; Bulletin of the American Astronomical Society, Vol. 37, p.376

Statistics

Scientific paper

We discuss the use of centroids of velocity as tracers of the statistics of turbulent velocity from observations in optically thin spectral lines. We test analytical predictions using numerical simulations and provide criteria to estimate when velocity centroids are useful to study the properties of the turbulent velocity field. We show that velocity centroids trace velocity for low Mach numbers. At the same time for strongly supersonic turbulence density fluctuations have a large impact and ordinary centroids fail to trace the statistics of velocity. We identified an important term in the structure function of velocity centroids that contains information of density fluctuations, and that can be extracted entirely from observations. Subtracting that term yields to a definition of "modified" velocity centroids (MVCs). For supersonic turbulence (Mach # ˜ 7) MVCs were found to trace the velocity scaling, when ordinary centroids failed.

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