On the Erraticity in Random-Cascading alpha Model
Abstract
The erraticity in the random-cascading α model is revisited. It is found that in contrary to the previous expectation, even in the pure single-α 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-α model already fluctuate event-by-event. Models with multiple-α strengthen this fluctuation. Taking double-α model as example, the variation of the event-space fluctuation strength with the mixing ratio of the two α's is studied in some detail. The influence of particle number on the results when particles are putted into the system is also investigated.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.