Statistical link between the structure of molecular clouds and their density distribution
- 9 December 2016
- journal article
- research article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 466 (1), 914-920
- https://doi.org/10.1093/mnras/stw3147
Abstract
We introduce the concept of a class of equivalence of molecular clouds represented by an abstract spherically symmetric, isotropic object. This object is described by use of abstract scales in respect to a given mass-density distribution. Mass and average density are ascribed to each scale and thus are linked to the density distribution: a power-law type and an arbitrary continuous one. In the latter case, we derive a differential relationship between the mean density at a given scale and the structure parameter that defines the mass-density relationship. The two-dimensional (2D) projection of the cloud along the line of sight is also investigated. Scaling relations of mass and mean density are derived in the considered cases of power-law and arbitrary continuous distributions. We obtain relations between scaling exponents in the 2D and 3D cases. The proposed classes of equivalence are representative for the general structure of real clouds with various types of column-density distributions: power law, lognormal or combination of both.Funding Information
- DFG (KL 1358/20-1)
This publication has 31 references indexed in Scilit:
- Relationship between the column density distribution and evolutionary class of molecular clouds as viewed by ATLASGALAstronomy & Astrophysics, 2015
- On the structure of molecular cloudsMonthly Notices of the Royal Astronomical Society, 2012
- Clump mass function at an early stage of molecular cloud evolution - I. A statistical approachMonthly Notices of the Royal Astronomical Society, 2012
- THE TWO STATES OF STAR-FORMING CLOUDSThe Astrophysical Journal, 2012
- Mass-density relationship in molecular cloud clumpsMonthly Notices of the Royal Astronomical Society, 2011
- Gravity or turbulence? Velocity dispersion-size relationMonthly Notices of the Royal Astronomical Society, 2010
- Clump morphology and evolution in MHD simulations of molecular cloud formationMonthly Notices of the Royal Astronomical Society, 2009
- On the Rapid Collapse and Evolution of Molecular CloudsThe Astrophysical Journal, 2007
- Six myths on the virial theorem for interstellar cloudsMonthly Notices of the Royal Astronomical Society, 2006
- A Fractal Origin for the Mass Spectrum of Interstellar Clouds. II. Cloud Models and Power‐Law SlopesThe Astrophysical Journal, 2002