Chord distribution along a line in the local universe
L. Zaninetti
Dipartimento di Fisica, Università degli Studi di Torino, Via Pietro Giuria 1, 10125 Torino, Italy. (zaninetti@ph.unito.it).
Received 2012 October 8.
Accepted 2013 February 5.
RESUMEN
Se desarrolla un método para calcular la distribución de longitudes de las cuerdas a lo largo de una línea que incercepta un universo celular. El universo celular se modela aquí con la Teselación Poissoniana de Voronoi (PVT) y con la no–Poissoniana (NPVT). Se obtiene la distribución de las esferas a partir de las aproximaciones usadas al modelar el volumen de los Diagramas de Voronoi.
Proporcionamos formulas analíticas para la distribución de las longitudes de las cuerdas tanto en el caso de PVT como en el de NPVT. Se aplica el formalismo al ESO Slice Project, que es real, y a una rebanada artificial de galaxias que simula el relevamiento 2dF Galaxy Redshift Survey.
ABSTRACT
A method is developed to compute the chord length distribution along a line which intersects a cellular universe. The cellular universe is here modeled by the Poissonian Voronoi Tessellation (PVT) and by a non–Poissonian Voronoi Tessellation (NPVT). The distribution of the spheres is obtained from common approximations used in modeling the volumes of Voronoi Diagrams.
We give analytical formulas for the distributions of the lengths of chords in both the PVT and NPVT. The astrophysical applications are made to the real ESO Slice Project and to an artificial slice of galaxies which simulates the 2dF Galaxy Redshift Survey.
Key Words: galaxies: clusters: general — galaxies: statistics — large–scale structure of universe — methods: statistical.
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