Characterizing cluster morphology using vector-valued Minkowski functionals

Details Characterizing cluster morphology using vector-valued Minkowski functionals Characterizing cluster morphology using vector-valued Minkowski functionals

1997-11-04

arxiv.org/abs/astro-ph/9711034v1

Proceedings of the 12th Potsdam Cosmology Workshop, World Scientific 1998, V. Mueller et al. (eds.), 197-200

Astronomy and Astrophysics

Astrophysics

LaTeX2e 2 pages with 8 figures; uses sprocl.sty, to appear in 12th Potsdam cosmology workshop

Scientific paper

The morphology of galaxy clusters is quantified using Minkowski functionals, especially the vector-valued ones, which contain directional information and are related to curvature centroids. The asymmetry of clusters and the amount of their substructure can be characterized in a unique way using these measures. -- We briefly introduce vector-valued Minkowski functionals (also known as Querma\ss vectors) and suggest their application to cluster data in terms of a morphological characterization of excursion sets. Furthermore, we develop robust structure functions which describe the dynamical state of a cluster and study the evolution of clusters using numerical simulations.

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