Scaling Law of Exponents in Cosmological Clustering

Chin. Phys. Lett.

2002, Vol. 19

Issue (2): 280-282 DOI:

Original Articles

Scaling Law of Exponents in Cosmological Clustering

ZHANG Hang;LI Xiao-Qing

Department of Physics, Nanjing Normal University, Nanjing 210097

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ZHANG Hang, LI Xiao-Qing 2002 Chin. Phys. Lett. 19 280-282

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Abstract The density of N-clusters (the cluster which contains N galaxies) in the universe is shown from observations to scale with N as n_N ∝ N^-τ with τ = 3/γ +1 and the correlation exponent γ ≈ 1.8. Correspondingly, a scaling relation τ = 29-9γ/12-4γ between the two exponents, which agrees with the observations, is found analytically in our naive clustering model.

Keywords: 98.65.-r 82.20.Mj 05.70.Jk

Published: 01 February 2002

PACS:	98.65.-r	(Galaxy groups, clusters, and superclusters; large scale structure of the Universe)
	82.20.Mj
	05.70.Jk	(Critical point phenomena)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I2/0280

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