A method for reconstructing the PDF of a 3D turbulent density field from 2D observations

Chris M Brunt, Christoph Federrath, Daniel James Price

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Abstract

We introduce a method for calculating the probability density function (PDF) of a turbulent density field in three dimensions using only information contained in the projected two-dimensional column density field. We test the method by applying it to numerical simulations of hydrodynamic and magnetohydrodynamic turbulence in molecular clouds. To a good approximation, the PDF of log(normalized column density) is a compressed, shifted version of the PDF of log(normalized density). The degree of compression can be determined observationally from the column density power spectrum, under the assumption of statistical isotropy of the turbulence.
Original languageEnglish
Pages (from-to)L56 - L60
Number of pages5
JournalMonthly Notices of the Royal Astronomical Society
Volume405
Issue number1
DOIs
Publication statusPublished - 2010

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