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.

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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
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通讯作者: 陈斌, bchen63@163.com

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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.

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

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