Analytical Study of Two-Dimensional Self-Affine Fractal in Multiparticle Production of High Energy Collisions

Lin Hai; Zhang Yang; Liu Lianshou

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2024年10月30日

Chinese Physics C> 1996, Vol. 20> Issue(S1) : 71-83

Analytical Study of Two-Dimensional Self-Affine Fractal in Multiparticle Production of High Energy Collisions

Institute of Particle Physics, Huazhong Normal University, Wuhan, Hubei, China

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Abstract：
The self-affine cascading model of 2-dimensional phase space is discussed in some detail. The analytical expression for the scaled probability inoments, C_N² and C_N³ are deduced for the self-similar analysis of a 2-dimensional self-affine fractal object with Hurst exponent H=0.5. The Levy stability indices of the model are calculated analytically. It is shown that the results of Levy indices from the Monte Carlo simulation are consistent with those from the analytical calculation. The recent experimental data from NA22 collaboration are explained qualitatively.
- intermittency ,
- Levy stability law ,
- self-affine fractal ,
- random cascading process

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Lin Hai, Zhang Yang and Liu Lianshou. Analytical Study of Two-Dimensional Self-Affine Fractal in Multiparticle Production of High Energy Collisions[J]. Chinese Physics C, 1996, 20(S1): 71-83.

Lin Hai, Zhang Yang and Liu Lianshou. Analytical Study of Two-Dimensional Self-Affine Fractal in Multiparticle Production of High Energy Collisions[J]. Chinese Physics C, 1996, 20(S1): 71-83. shu

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Received: 1994-01-12

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Supported by the National Natural Science Foundation of China and DYTF of the State Education Committee of China and CGP of Wuhan City.

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沈阳化工大学材料科学与工程学院沈阳 110142

Analytical Study of Two-Dimensional Self-Affine Fractal in Multiparticle Production of High Energy Collisions

Institute of Particle Physics, Huazhong Normal University, Wuhan, Hubei, China

Received Date: 1994-01-12

Fund Project: Supported by the National Natural Science Foundation of China and DYTF of the State Education Committee of China and CGP of Wuhan City.

Abstract: The self-affine cascading model of 2-dimensional phase space is discussed in some detail. The analytical expression for the scaled probability inoments, C_N² and C_N³ are deduced for the self-similar analysis of a 2-dimensional self-affine fractal object with Hurst exponent H=0.5. The Levy stability indices of the model are calculated analytically. It is shown that the results of Levy indices from the Monte Carlo simulation are consistent with those from the analytical calculation. The recent experimental data from NA22 collaboration are explained qualitatively.