Random Cascading α Model  

作　　者：张勇和 刘连寿 张孝泽 

机构地区：[1]Physics Department,Huanggang Teachers College,Huanggang 436100, PRC [2]Institute of Particle Physics, Huazhong Normal University, Wuhan 430070, PRC [3]Chinese Institute of Atomic Energy, Beijing 102413, PRC

出　　处：《Science China Mathematics》1994年第7期840-849,共10页中国科学：数学（英文版）

基　　金：Project supported in part by the National Natural Science Foundation of China

摘　　要：The random cascading model is studied in some detail. The dependence of intermittency indices in this model on the elementary partition number λ is discussed, and a method for calculating the moments in the case of partition number M being unequal to the integer power of λ is proposed. It is found that the model with a single elementary partition number λ does not fulfil the requirement of fractality that anomalous exponential law should be valid for any integer M. Randomly taking a number of λs can improve the situation notably.A model with noninteger λ is also established for-future application.The random cascading model is studied in some detail. The dependence of intermittency indices in this model on the elementary partition number λ is discussed, and a method for calculating the moments in the case of partition number M being unequal to the integer power of λ is proposed. It is found that the model with a single elementary partition number λ does not fulfil the requirement of fractality that anomalous exponential law should be valid for any integer M. Randomly taking a number of λs can improve the situation notably.A model with noninteger λ is also established for-future application.

关 键 词：HIGH ENERGY multiparticle PRODUCTION intermittency RANDOM cascade. 

分 类 号：O572[理学—粒子物理与原子核物理]