Recognition and characterization of hierarchical interstellar structure. I - Correlation function

Details Recognition and characterization of hierarchical interstellar structure. I - Correlation function Recognition and characterization of hierarchical interstellar structure. I - Correlation function

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apjs...72..133h&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 72, Jan. 1990, p. 133-152. Research supported by Texas Advanced R

Statistics

Computation

27

Astronomical Models, Gravitational Collapse, Interstellar Matter, Molecular Clouds, Star Formation, Computational Astrophysics, Correlation, Hierarchies, Power Spectra

Scientific paper

The problem of the quantitative description of multiscale structure in interstellar cloud complexes and gravitational collapse calculations is considered, emphasizing the recognition and characterization of hierarchical fragmentation structure. The response of the two-point correlation function to a variety of analytical models for density structure is discussed for simple clustering of pointlike clouds to more complex models involving clouds with a distribution of sizes and densities and hierarchical substructure. By expressing the density distribution as the superposition of individual clouds, it is shown that the correlation function generates two types of terms: those involving each cloud's density convolved with itself and those involving pairs of different clouds. Major distortion of the correlation function are introduced by the presence of any image features with size scales a significant fraction of the image size.

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