The Refinement of α Model and the Analytical Calculation of Levy Exponent

Lin Hai; Zhang Yang; 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> 1994, Vol. 18> Issue(9) : 858-864

The Refinement of α Model and the Analytical Calculation of Levy Exponent

Institute of Particle Physics, Huazhong Normal University, Wuhan 430070

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Abstract：
In order to investigate the intermittency behaviour in high energy collisions using the Levy stability theory, it is necessary to develop a method for the analytical calculation of Levy exponent. In view of this, the random cascading αmodel is refined to make the expression of the probability ω of elementary division linear.Using this model, the Levy exponent is calculated analytically. The results are consistent with the theoretical prediction. The analytical expression for the moments of ω is obtained. In order to compare the present model with the original one, the MC simulation is done for both models, and the intermittency indices are calculated,showing that both models are practical and reliable.

References

[1]

E.A.De Wolf,I.M.Dremin and W.Kittel,Scaling Laws for Density Correlations and Fluctuationsin Multiparticle Dynamics.HEN-326（1993）,IIHE-93.01,FIAN/TD-09/93.[2]A.Bialas and R.Peschanski,Nucl.Phys.,B308（1988）857.[3]J.M.Alberty and A.Bialas,Z.Phys.,C50（1991）315.[4]Ph.Brax and R.Peschanski,Phys.Lett,B253（1991）225.[5]J.P.Bouchaud and A.Georges,Phys.Rep,195（1990）127;B.V.Gnedenko and A.N.Kolmogorov,Limit Distributions for Sums of Independent Random Variables（Addison Wesley,Reading,MA,1954）.[6]吴元芳、张昆实、刘连寿，科学通报，36（1991）21.[7]Wu.Yuanfang and Liu lianshou,Phys.Rev.lett,70（1993）3197.[8]A.Bialas and R.Peschanski,Nucl.Phys,B273（1986）703.[9]W.Ochs,Phys.Lett,B247（1990）101.[10]N.Schmitz,in Proc.XXI Int.Symp.on Multiparticle Dynamics.Wuhan,China,1991,Eds.Y.F.Wu and L.S.Liu（WorldSientific,Singapore1992）p.377.

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Lin Hai, Zhang Yang and Liu Lianshou. The Refinement of α Model and the Analytical Calculation of Levy Exponent[J]. Chinese Physics C, 1994, 18(9): 858-864.

Lin Hai, Zhang Yang and Liu Lianshou. The Refinement of α Model and the Analytical Calculation of Levy Exponent[J]. Chinese Physics C, 1994, 18(9): 858-864. shu

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

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

The Refinement of α Model and the Analytical Calculation of Levy Exponent

Corresponding author: Lin Hai,

Institute of Particle Physics, Huazhong Normal University, Wuhan 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-09-05

Abstract: In order to investigate the intermittency behaviour in high energy collisions using the Levy stability theory, it is necessary to develop a method for the analytical calculation of Levy exponent. In view of this, the random cascading αmodel is refined to make the expression of the probability ω of elementary division linear.Using this model, the Levy exponent is calculated analytically. The results are consistent with the theoretical prediction. The analytical expression for the moments of ω is obtained. In order to compare the present model with the original one, the MC simulation is done for both models, and the intermittency indices are calculated,showing that both models are practical and reliable.