We estimate the 3-point spatial correlation functions for four subsamples of Abell clusters with richness R≥1 as well as for the whole northern sample of R≥2 Abell clusters. Our preliminary results show that the 3-p...We estimate the 3-point spatial correlation functions for four subsamples of Abell clusters with richness R≥1 as well as for the whole northern sample of R≥2 Abell clusters. Our preliminary results show that the 3-point correlation functions of Abell clusters can be expressed by the scaling form: ζ=Q (ξ_1ξ_2+ξ_2ξ_3+ξ_3ξ_1), and Q remains almost a constant≈0.65 and is independent of the cluster richness. This value of Q is very close to the estimated constant Q_g of the 3-point correlation functions of galaxies, which means that from galaxies to R≥2 Abell clusters, their 3-point correlation functions share the same universal scaling form although they span three magnitudes. This universal form would be of great value for understanding the large-scale structures of the universe.展开更多
One of the most powerful tools in studying the large-scale structure of the universe is the two-point correlation functions. It is well known that these functions of galaxies and clusters of galaxies have three system...One of the most powerful tools in studying the large-scale structure of the universe is the two-point correlation functions. It is well known that these functions of galaxies and clusters of galaxies have three systematic characteristics, （ⅰ） all have power laws with the same index --1.8, ζ（r）=ar<sup>1.8</sup>; （ⅱ） α is展开更多
文摘We estimate the 3-point spatial correlation functions for four subsamples of Abell clusters with richness R≥1 as well as for the whole northern sample of R≥2 Abell clusters. Our preliminary results show that the 3-point correlation functions of Abell clusters can be expressed by the scaling form: ζ=Q (ξ_1ξ_2+ξ_2ξ_3+ξ_3ξ_1), and Q remains almost a constant≈0.65 and is independent of the cluster richness. This value of Q is very close to the estimated constant Q_g of the 3-point correlation functions of galaxies, which means that from galaxies to R≥2 Abell clusters, their 3-point correlation functions share the same universal scaling form although they span three magnitudes. This universal form would be of great value for understanding the large-scale structures of the universe.
文摘One of the most powerful tools in studying the large-scale structure of the universe is the two-point correlation functions. It is well known that these functions of galaxies and clusters of galaxies have three systematic characteristics, （ⅰ） all have power laws with the same index --1.8, ζ（r）=ar<sup>1.8</sup>; （ⅱ） α is
