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RU9226 Geometry, Scaling and Universality in the Mass Distributions in Heavy Ion Collisions (1993)
BibTeX
@MISC{Mekjian93ru9226geometry,,
author = {A. Z. Mekjian and S. J. Lee},
title = {RU9226 Geometry, Scaling and Universality in the Mass Distributions in Heavy Ion Collisions},
year = {1993}
}
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Abstract
Various features of the mass yields in heavy ion collisions are studied. The mass yields are discussed in terms of iterative one dimensional discrete maps. These maps are shown to produce orbits for a monomer or for a nucleus which generate the mass yields and the distribution of cluster sizes. Simple Malthusian dynamics and nonlinear Verhulst dynamics are used to illustrate the approach. Nuclear cobwebbing, attractors of the dynamics, and Lyapanov exponents are discussed for the mass distribution. The self-similar property of the Malthusian orbit offers a new variable for the study of scale invariance using power moments of the mass distribution. Correlation lengths, exponents and dimensions associated with scaling relations are developed. Fourier transforms of the mass distribution are used to obtain power spectra which are investigated for a 1/f β behavior.
Keyphrases
mass distribution heavy ion collision mass yield ru9226 geometry nonlinear verhulst dynamic cluster size power spectrum malthusian orbit power moment new variable self-similar property correlation length scale invariance lyapanov exponent simple malthusian dynamic nuclear cobwebbing dimensional discrete map various feature scaling relation
