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 simulation. 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.
- Publication:
-
Physical Review D
- Pub Date:
- June 1996
- DOI:
- 10.1103/PhysRevD.53.6608
- arXiv:
- arXiv:hep-ph/9510422
- Bibcode:
- 1996PhRvD..53.6608C
- Keywords:
-
- 13.85.Hd;
- 05.45.+b;
- 12.38.Bx;
- 24.60.Lz;
- Inelastic scattering: many-particle final states;
- Perturbative calculations;
- Chaos in nuclear systems;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- 18 pages, latex, 15 figures in uuencode ps files