2014/01/19 by L. Zaninetti, Lorenzo Zaninetti
Mathematics · Physics and Astronomy · #Astrophysics #COSMIC cancer database #Context (archaeology) #Correlation function (quantum field theory) #Cosmology and Gravitation Theories #Function (biology) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Geometry #Mathematics #Oscillation (cell signaling) #Physics #Quantum mechanics #RADIUS #Range (aeronautics) #Scientific Research and Discoveries #Symmetry (geometry) #Voronoi diagram #astro-ph.CO
paper · pdf · doi:10.5539/apr.v6n1p35
published as published on Applied Physics Research , (2014) , 1 , 35-46 · 19 pages 14 figures
openalex publication_date 2014/01/19 · arxiv created 2014/01/28 · arxiv updated 2014/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The pair correlation function (PCF) for galaxies presentstypical oscillations in the range 20-200 Mpc/h which are namedbaryon acoustic oscillation (BAO).We first review and test theoscillations of the PCF when the 2D/3D vertexesof the Poissonian Voronoi Tessellation (PVT) are considered.We then model the behavior of the PCF at a small scalein the presence of an auto gravitating mediumhaving a line/plane of symmetry in 2D/3D.The analysis of the PCF in an astrophysical contextwas split into two, adopting a non-PoissonianVoronoi Tessellation (NPVT).We first analyzed the case of a 2D cut which coversfew voids and a 2D cut which covers approximately50 voids.The obtained PCF in the case of many voidswas then discussedin comparison to thebootstrap predictions fora PVT processand the observed PCF for an astronomical catalog.An approximated formula which connects the averaged radius of the cosmicvoids to the first minimum of the PCF is given.