Chaotic Behavior of Particle Production in Branching Processes
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/9510422,
title = {Chaotic Behavior of Particle Production in Branching Processes},
author = {Zhen Cao and Rudolph C. Hwa},
journal= {arXiv preprint arXiv:hep-ph/9510422},
year = {2014}
}
Comments
18 pages, latex, 15 figures in uuencode ps files; hard copy sent upon request to [email protected]