The power spectra of IRAS galaxies and of Abell clusters

Abstract

This work measures the power spectra of IRAS galaxies and of Abell clusters by analyzing the 2 Jy IRAS redshift survey and two redshift samples of Abell clusters. In terms of the variance Δ 2 (k), we find that the Δ 2 (k) of IRAS galaxies obeys a power law Δ 2 (k)∞k 1.3 up to the largest possible wavelength λ=2π/k∼100 h −1 Mpc which the survey is able to explore. The Δ 2 (k) of Abell clusters has the same slope as that of IRAS galaxies for λ<100 h −1 Mpc but has an amplitude about 10 times higher, which supports the linear biasing mechanism as the origin of rich clusters. At larger wavelengths, the variance of Abell clusters falls more rapidly than the power law