Scaling Law of Exponents in Cosmological Clustering
ZHANG Hang, LI Xiao-Qing
Department of Physics, Nanjing Normal University, Nanjing 210097
Scaling Law of Exponents in Cosmological Clustering
ZHANG Hang;LI Xiao-Qing
Department of Physics, Nanjing Normal University, Nanjing 210097
关键词 :
98.65.-r ,
82.20.Mj ,
05.70.Jk
Abstract : The density of N-clusters (the cluster which contains 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.
Key words :
98.65.-r
82.20.Mj
05.70.Jk
出版日期: 2002-02-01
:
98.65.-r
(Galaxy groups, clusters, and superclusters; large scale structure of the Universe)
82.20.Mj
05.70.Jk
(Critical point phenomena)
[1]
ZHANG Huan;LIU Zong-Hua;MA Wei-Chuan. Epidemic Propagation and Microscopic Structure of Complex Networks [J]. 中国物理快报, 2006, 23(4): 1050-1053.
[2]
WU Xin-Tian. Two-Dimensional Saddle Point Equation of Ginzburg--Landau Hamiltonian for the Diluted Ising Model [J]. 中国物理快报, 2006, 23(2): 305-308.
[3]
WANG Lin-Cheng;CUI Hai-Tao;YI Xue-Xi. Decoherence Induced by Spin Chain Environment [J]. 中国物理快报, 2006, 23(10): 2648-2651.
[4]
PAN Gui-Jun;ZHANG Duan-Ming;YIN Yan-Ping;HE Min-Hua. Avalanche Dynamics in Quenched Random Directed Sandpile Models [J]. 中国物理快报, 2006, 23(10): 2811-2814.
[5]
B. Kutlu;M. Civi. Critical Finite Size Scaling Relation of the Order-Parameter Probability Distribution for the Three-Dimensional Ising Model on the Creutz Cellular Automaton [J]. 中国物理快报, 2006, 23(10): 2670-2673.
[6]
BAO Jing-Dong;Lü Kun;LIU Ling;JIA Ying. Oscillation of Hot Fissioning Nuclei around a Saddle Point [J]. 中国物理快报, 2005, 22(8): 1880-1883.
[7]
LUO Jia-Yuan;OUYANG Qi. Exploring the Critical Sensitivity in Small-World Networks [J]. 中国物理快报, 2004, 21(9): 1703-1706.
[8]
WAN Yong-Ge;WU Zhong-Liang;;ZHOU Gong-Wei. Small Stress Change Triggering a Big Earthquake: A Test of the
Critical Point Hypothesis for Earthquakes [J]. 中国物理快报, 2003, 20(9): 1452-1455.
[9]
ZHAO Tong-Jun;ZHAN Yong;WU Jian-Hai;WANG Yong-Hong. A Flashing Model for Transport of Brownian Motors [J]. 中国物理快报, 2002, 19(9): 1248-1250.
[10]
MA Yu-Gang;SHEN Wen-Qing;ZHU Zhi-Yuan;ZHANG Hu-Yong;YU Li-Ping;CAI Xiang-Zhou;FANG De-Qing;ZHONG Chen. Poissonian Reducibility and Thermal Scaling in Nuclear Dissociation [J]. 中国物理快报, 2001, 18(7): 897-899.
[11]
YOU Jing-Yun;CAO Li;WU Da-Jin;LIANG Gui-Yun. Escape Rate in the Bistable Sawtooth System Driven by Correlated Multiplicative and Additive White Noises
[J]. 中国物理快报, 2001, 18(2): 175-177.
[12]
MA Yu-Gang. Nuclear Zpif-Type Plots [J]. 中国物理快报, 2000, 17(5): 340-342.
[13]
XU Hai-Bo;XU Ai-Guo;WANG Guang-Rui;CHEN Shi-Gang. Phase Diagrams of One-Dimensional Commensurate-Incommensurate Transition Model with Triple-Well Interactions [J]. 中国物理快报, 2000, 17(4): 255-257.
[14]
ZHUANG Guo-Ce;WANG Wei. Dynamic Scaling of Surface Growth in the Influence of Small Clusters Mobility [J]. 中国物理快报, 2000, 17(4): 285-287.
[15]
WANG Huai-yu;ZHOU Yun-song;D.L.Lin. Critical Point of Ising Films with Different Growth Directions [J]. 中国物理快报, 2000, 17(1): 55-57.