An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions

Lin Hai; Zhang Yang; Liu Lianshou

Chinese Physics C> 1996, Vol. 20> Issue(1) : 65-75

An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions

Institute of particle physics,Hua-Zhong Normal University,Wuhan 430070

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Abstract：
The self-affine α-model in 2-dimensional phase space is discussed in some detail.The analytic expression of the normalized probability moments,C2N and C3N,are deduced for the self-similar analysis of a self-affine fractal object with Hurst index equal to 0.5.The Levy stability indices for both the self-similar and the self-affine analyses of 2-D self-affine model are calculated. The result of Monte Carlo simulation is shown to be consistent with that of analytic calculation.The recent experimental data from NA22 collaboration are explained qualitatively.

References

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A.Bialas,R.Peschanski,Nucl.Phys,B273（1986）703;B308（1988）857.[2] N.Schmizt,in Proc.X XI Int.Symp.on Multiparticle Dynamics,Wuhan,China,1991,Eds,Wu Yuanfang,Liu Lianshou,World Sientific,Singapore1992,p.377.[3] Wu Yuanfang,Liulianshou,Phys.Rev.lett,70（1993）3197.[4] W.Ochs,Phys.Lett,B247（1990）101[5] Ph.Brax,R.Peschanski,Phys.Lett,B253（1991）225[6] Zhang Yang,Lin Hai,Liu Lianshou,“Levy Stability Analysisof Random Cascade Model”,Commun.Theor.Phys,（tobepublished）.[7] J.P.Bouchaud,A.Georges,Phys Rep,195（1990）127;B.V.Gnedenko,A.N.Kolmogorov,Limit Distributionsfor Sumsof Independent Random Variables（Addison Wesley,Reading,M A,1954）.[8]林海、张阳、刘连寿，高能物理与核物理，18（1994）858.[9] N.Agababyanetal（N A22）,Nijmegen Preprint,H EN-353（1993）.[10]吴元芳、刘连寿，中国科学，24（1994）1299.[11] J.M.Alberty,A.Bialas,Z.Phys,C50（1991）315.

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Lin Hai, Zhang Yang and Liu Lianshou. An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions[J]. Chinese Physics C, 1996, 20(1): 65-75.

Lin Hai, Zhang Yang and Liu Lianshou. An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions[J]. Chinese Physics C, 1996, 20(1): 65-75. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions

Corresponding author: Lin Hai,

Institute of particle physics,Hua-Zhong Normal University,Wuhan 430070

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

Abstract: The self-affine α-model in 2-dimensional phase space is discussed in some detail.The analytic expression of the normalized probability moments,C2N and C3N,are deduced for the self-similar analysis of a self-affine fractal object with Hurst index equal to 0.5.The Levy stability indices for both the self-similar and the self-affine analyses of 2-D self-affine model are calculated. The result of Monte Carlo simulation is shown to be consistent with that of analytic calculation.The recent experimental data from NA22 collaboration are explained qualitatively.