Point field models for the galaxy point pattern. Modelling the singularity of the two-point correlation function

Details Point field models for the galaxy point pattern. Modelling the singularity of the two-point correlation function Point field models for the galaxy point pattern. Modelling the singularity of the two-point correlation function

2002-04-12

arxiv.org/abs/astro-ph/0204211v2

Astronomy and Astrophysics

Astrophysics

Inserted a missing part of the abstract; 8 pages, 6 figures, uses aa.cls and natbib.sty (included); accepted for publication i

Scientific paper

10.1051/0004-6361:20020551

There is empirical evidence that the two-point correlation function of the galaxy distribution follows, for small scales, reasonably well a power-law expression $\xi(r)\propto r^{-\gamma}$ with $\gamma$ between 1.5 and 1.9. Nevertheless, most of the point field models suggested in the literature do not have this property. This paper presents a new class of models, which is produced by modifying point fields commonly used in cosmology to mimic the galaxy distribution, but where $\gamma=2$ is too large. The points are independently and randomly shifted, leading to the desired reduction of the value of $\gamma$.

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