Chaotic Behavior of Particle Production in Branching Processes

Details Chaotic Behavior of Particle Production in Branching Processes Chaotic Behavior of Particle Production in Branching Processes

1995-10-26

arxiv.org/abs/hep-ph/9510422v1

Phys.Rev. D53 (1996) 6608-6618

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, latex, 15 figures in uuencode ps files; hard copy sent upon request to hwa@oregon.uoregon.edu

Scientific paper

10.1103/PhysRevD.53.6608

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.

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