2006/03/19 by A. Y. Abul-Magd
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Distribution (mathematics) #Generalization #Markov chain #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Random matrix #Scientific Research and Discoveries #Statistical Mechanics and Entropy #Statistical physics #Statistics #Stochastic matrix #Transition (genetics) #Transition rate matrix #cond-mat.stat-mech #nucl-th
paper · pdf · doi:10.1103/physreve.73.056119
published as Phys.Rev. E73 (2006) 056119 · 14 pages, 3 figures
arxiv created 2006/03/19 · openalex publication_date 2006/05/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the fluctuation properties of transition intensities applying a recently proposed generalization of the random matrix theory, which is based on Beck and Cohen's superstatistics. We obtain an analytic expression for the distribution of the reduced transition probabilities that applies to systems undergoing a transition out of chaos. The obtained distribution fits the results of a previous nuclear shell model calculations for some electromagnetic transitions that deviate from the Porter-Thomas distribution. It agrees with the experimental reduced transition probabilities for the nucleus better than the commonly used chi(2) distribution.