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

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

2010-03-22

arxiv.org/abs/1003.4151v1

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

5 pages, 2 figures, accepted for publication in MNRAS Letters

Scientific paper

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(normalised column density) is a compressed, shifted version of the PDF of log(normalised density). The degree of compression can be determined observationally from the column density power spectrum, under the assumption of statistical isotropy of the turbulence.

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