An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

Lin Hai; Liu Lianshou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1996, Vol. 20> Issue(7) : 625-634

An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

Lin Hai ^, ,
Liu Lianshou

Physics Department, Yanbei Teacher's College, Datong, 0370002 Institute of Particle Physics, Huazhong Normal University, Wuhan, 430070

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Abstract：
In this paper, one-dimensional projection of two-dimensional self-affine phase space which has three kinds self-affine fractal are analytically studied. A one-dimensional projection α-model corresponding to different fractal is obtained.Using this model, the one-dimensional 2, 3 moments of normalized probability and correlation moments are calculated analytically. The results are cosistent with the experimental results. The dependence of the moments of normalized probability and correlation moments on fractal forms of phase space is obtained simultaneously.

References

[1]

A.Bialas,R.Peschanski,Nucl.Phys,B273（1986）703.[2]A.Bialas,R.Peschanski,Nucl.Phys,B308（1988）857[3]W.Ochs,Phys.Lett.,B247（1990）101[4]Wu.Yuanfang,Liu Lianshou,Phys.Rev.Lett,70（1993）3197.[5]V.V.Aivazyan et al（NA22）,Phys.Lett.,B258（1991）487.[6]吴元芳，刘连寿，《中国科学》，高能强子-强子碰撞多粒子末态纵向相空间的研究，待发表。[7]林海，张阳，刘连寿，高能物理与核物理，18（1994）858.[8]TASSOCollab.,WBraunschweig et al,Phys.Lett,B231（1989）548.[9]Ph.Brat,R.Peschanski,Phys.Lett.,B253（1991）225.

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Lin Hai and Liu Lianshou. An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space[J]. Chinese Physics C, 1996, 20(7): 625-634.

Lin Hai and Liu Lianshou. An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space[J]. Chinese Physics C, 1996, 20(7): 625-634. shu

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Received: 1900-01-01
Revised: 1900-01-01

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An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

Lin Hai ^,
Liu Lianshou

Corresponding author: Lin Hai,

Physics Department, Yanbei Teacher's College, Datong, 0370002 Institute of Particle Physics, Huazhong Normal University, Wuhan, 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-07-05

Abstract: In this paper, one-dimensional projection of two-dimensional self-affine phase space which has three kinds self-affine fractal are analytically studied. A one-dimensional projection α-model corresponding to different fractal is obtained.Using this model, the one-dimensional 2, 3 moments of normalized probability and correlation moments are calculated analytically. The results are cosistent with the experimental results. The dependence of the moments of normalized probability and correlation moments on fractal forms of phase space is obtained simultaneously.