Statistics
Scientific paper
May 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...210.5503l&link_type=abstract
American Astronomical Society Meeting 210, #55.03; Bulletin of the American Astronomical Society, Vol. 39, p.166
Statistics
Scientific paper
Turbulence is a crucial component of dynamics of astrophysical fluids dynamics, including those of ISM, clusters of galaxies and circumstellar regions. The knowledge of turbulence statistics is also essential for understanding cosmic ray transport. This situation motivated attempts to measure the statistics of turbulence using Doppler shifted spectral lines that date as far back as the middle of the previous century. Numerical simulations, that revolutionized the field of turbulence studies, only made the issue of obtaining turbulence statistics from observations more burning. Indeed, astrophysical turbulence is extremely difficult to reliably simulate with computers, as the corresponding Reynolds and magnetic Reynolds numbers in simulations and in typical astrophysical environments are very different. Thus observational studies are required both to test theory and numerics.
I shall discuss the progress in obtaining velocity spectra from observations. While velocity fluctuations affect emission and absorption line profiles via Doppler effect, getting turbulence spectra from astrophysical observations has been a challenge since the very beginning of the research in the field. The situation, however, changed recently with the advent of theory-motivated techniques of turbulence studies. I shall discuss the Velocity Channel Analysis(VCA) and Velocity Coordinate Spectrum (VCS) technique and their application to the emission and absorption line data. In particular, I shall discuss the results obtained with the techniques for CO data, as well as for galactic and extragalactic HI data. I shall outline the prospects of VCS for studies of turbulence in various environments using optical and UV, as well as X-ray lines.
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