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arXiv · 1112.0173

Random matrix theory for mixed regular-chaotic dynamics in the super-extensive regime

A. Abd El-Hady·A. Y. Abul-Magd
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Abstract

We apply Tsallis's q-indexed nonextensive entropy to formulate a random matrix theory (RMT), which may be suitable for systems with mixed regular-chaotic dynamics. We consider the super-extensive regime of q < 1. We obtain analytical expressions for the level-spacing distributions, which are strictly valid for 2 \times 2 random-matrix ensembles, as usually done in the standard RMT. We compare the results with spacing distributions, numerically calculated for random matrix ensembles describing a harmonic oscillator perturbed by Gaussian orthogonal and unitary ensembles.

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A. Abd El-Hady, A. Y. Abul-Magd. 2011-12-01. Random matrix theory for mixed regular-chaotic dynamics in the super-extensive regime. https://arxiv.org/abs/1112.0173

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