EMPTY BIN EFFECT AND MULTIPLE BIN PHENOMENON IN DYNAMIC FLUCTUATIONS AT HIGH-ENERGIES

Intermittency and multifractality characterizing the presence of dynam ical fluctuations are analysed in terms of self-similar processes of C antor type involving the continuous spectrum of singularities. The fun damental properties of the intermittency slopes psi(q) as well as of t he strength alpha(q) and the density f(q) of singularities depending o n the order parameter q are established. It is also argued here that t he intermittency arisen owing to those self-similar processes leads to such anomalous fractal dimensions and density of singularities which hardly satisfy the assumptions allowing the interpretation of intermit tency in terms of thermal as well as non-thermal phase transitions. Fo ur concrete cases are discussed in the present contribution: the e+ e- annihilations at square-root = 29 GeV, the ppBAR interactions at squa re-root s = 1 800 GeV, the collisions of 200 GeV / nucleon 0-16 beams with the C-12 nuclei and the Au-197 nuclei of energy 1 GeV / nucleon b reak up into fragments when interacting with the nuclear emulsion. The corresponding data published so far reveal the fundamental properties following from the aforementioned processes with great accuracy.