Non-extensive random matrix theory -- a bridge connecting chaotic and regular dynamics

DOI10.1016/j.physleta.2004.09.082zbMath1123.82351arXivcond-mat/0410010OpenAlexW2013502370MaRDI QIDQ2463099

A. Y. Abul-Magd

Publication date: 5 December 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0410010

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Foundations of time-dependent statistical mechanics (82C03) Statistical aspects of information-theoretic topics (62B10)

Related Items (4)

On the spectral unfolding of chaotic and mixed systems ⋮ Nonextensive random-matrix theory based on Kaniadakis entropy ⋮ KAPPA-DEFORMED RANDOM-MATRIX THEORY BASED ON KANIADAKIS STATISTICS ⋮ Quantum resonant systems, integrable and chaotic

Cites Work

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• Recent developments in the energy level statistics in generic systems between integrability and chaos
• Quantum signatures of chaos. With a foreword by H. Haken
• Spectral form factors of rectangle billiards
• Power-law sensitivity to initial conditions---new entropic representation
• Level clustering in the regular spectrum

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