Refinement of <i>α</i>-Model and Analytical Calculation of Levy Index

Lin Hai; Zhang Yang; Liu Lianshou

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2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(S3) : 275-282

Refinement of α-Model and Analytical Calculation of Levy Index

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

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Abstract：
In order to investigate the intermittency behavior in high energy collision using the Levy stable theory, it is necessary to develop a method for the analytical calculation of Levy index. In view of this, the random cascading a-model is refined to make the expression of the probability ω of elementary division linear. The Levy index is calculated analytically in this revised model and 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 with both models, and the intermittency indices are calculated, showing that both models are practical and reliable.
- high energy collision ,
- intermittency ,
- fractal ,
- Levy stability ,
- random cascading model

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Lin Hai, Zhang Yang and Liu Lianshou. Refinement of α-Model and Analytical Calculation of Levy Index[J]. Chinese Physics C, 1994, 18(S3): 275-282.

Lin Hai, Zhang Yang and Liu Lianshou. Refinement of α-Model and Analytical Calculation of Levy Index[J]. Chinese Physics C, 1994, 18(S3): 275-282. shu

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Received: 1994-01-13

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Supported by the National Natural Science Foundation of China.

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沈阳化工大学材料科学与工程学院沈阳 110142

Refinement of α-Model and Analytical Calculation of Levy Index

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

Received Date: 1994-01-13

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: In order to investigate the intermittency behavior in high energy collision using the Levy stable theory, it is necessary to develop a method for the analytical calculation of Levy index. In view of this, the random cascading a-model is refined to make the expression of the probability ω of elementary division linear. The Levy index is calculated analytically in this revised model and 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 with both models, and the intermittency indices are calculated, showing that both models are practical and reliable.