Geometry, Scaling and Universality in the Mass Distributions in Heavy Ion Collisions
A. Z. Mekjian, S. J. Lee
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 non-linear 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/fβ behavior.
Create a lesson
Related papers
Parametrization of unitary matrices, parametrizing the symmetric S matrix and the NN S matrix above the inelastic threshold
N. A. Khokhlov
Thermofractal Dynamics in the Multisource Thermal Model: A Unified Approach to Multiparticle Production
Airton Deppman, Trambak Bhattacharyya, Maciej Rybczyński et al.
Electroweak Constraints on Nuclear Neutron Distributions and the Low-Energy Weak Mixing Angle
Xu-Run Huang, Tong-Gang Yue, Zhen Zhang et al.
Active-subspace learning reveals dominant parameter directions in nuclear observables
Tom Plies, Margarida Companys Franzke, Achim Schwenk
Shape coexisting intruder states in even Sn isotopes and their influence on the B4/2<1 anomaly
P. Buganu, R. Benjedi, R. Budaca
Light nucleus and hypernucleus production at RHIC and LHC energies: a comparative study of phenomenological models
J. Aichelin, A. Andronic, F. Bellini et al.