Self-Similarity and Scaling Behavior in Nuclear Collision

Abstract

A simple model is used to explore issues related to self-similarity, intermittency and scaling behavior in nuclear collisions. Both scaled factorial moments and power moments are considered in the investigation of these features. The product mass yields are used to construct probability distributions and generalized Renyi entropies. The scaling properties of the resulting Renyi entropies are studied. Both exponential and power law behavior are found. A discussion of dimensions associated with these scaling properties is also given. An analysis of some experimental data is presented.

51 pages in LATEX, 14 figures (available form the authors), RU-92-07, to appear in Phys. Rev. C

Cited by in corpus (8)

• Statistical signatures of critical behavior in small systems
• Statistical Models of Nuclear Fragmentation
• Classification of the Nuclear Multifragmentation Phase Transition
• Liquid-Gas Phase Transition and Instabilities in Asymmetric Two Component Systems
• Development of particle multiplicity distributions using a general form of the grand canonical partition function and applications to L3 and H1 Data
• Multiparticle Clusters and Intermittent Fluctuations
• Power Moments and Scaling Properties of Nuclear Emulsion Data
• Geometry, Scaling and Universality in the Mass Distributions in Heavy Ion Collisions