On the Erraticity in Random-Cascading alpha Model

Details On the Erraticity in Random-Cascading alpha Model On the Erraticity in Random-Cascading alpha Model

2001-07-23

arxiv.org/abs/hep-ph/0107237v1

Chin.Phys.Lett. 18 (2001) 1179-1182

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 5 figures

Scientific paper

The erraticity in the random-cascading $\alpha$ model is revisited. It is found that in contrary to the previous expectation, even in the pure single-$\alpha$ random-cascading model without putting in any particle there exists erraticity behavior and the corresponding entropy indices do not vanish. This means that the dynamical fluctuations in a pure single-$\alpha$ model already fluctuate event-by-event. Models with multiple-$\alpha$ strengthen this fluctuation. Taking double-$\alpha$ model as example, the variation of the event-space fluctuation strength with the mixing ratio of the two $\alpha$'s is studied in some detail. The influence of particle number on the results when particles are putted into the system is also investigated.

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