Scaling Law of Exponents in Cosmological Clustering

Physics

Scientific paper

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Scientific paper

The density of N-clusters (the clusters which contain N galaxies) in the Universe is shown from observations to scale with N as nN ∝ 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.

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