标题： 分支过程中的粒子生成的混沌行为 显示英文标题

标题： Chaotic Behavior of Particle Production in Branching Processes

摘要： 粒子生成中混沌行为的概念被研究。 考虑了两种分支类型：非阿贝尔规范相互作用和一个阿贝尔级联模型。 通过蒙特卡罗模拟研究了生成过程的性质。 通过跟踪分支演化过程中每一代粒子数的波动来研究“时间”行为。 通过事件之间的归一化因子矩波动来描述“空间”行为。 确定了信息维数和一个新的熵指数。 当综合所有测量结果时，它们共同强烈表明QCD分支过程是混沌的，而阿贝尔级联模型则不是。 显示英文摘要

摘要： The notion of chaotic behavior is examined for particle production in branching processes. Two types of branching are considered: non-Abelian gauge interaction and an Abelian cascade model. Properties of the production processes are investigated by Monte Carlo stimulation. The ``temporal'' behavior is studied by following the fluctuations in the multiplicities of each generation as the branching evolves. The ``spatial'' behavior is described in terms of the fluctuations of the normalized factorial moments from event to event. The information dimension and a new entropy index are determined. When all the measures are taken together, they collectively give a strong suggestion that the QCD branching process is chaotic, while the Abelian cascade model is not.