Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics
Statistical Mechanics
2007-05-23 v1
Abstract
We consider a possible generalization of the random matrix theory, which involves the maximization of Tsallis' -parametrized entropy. We discuss the dependence of the spacing distribution on using a non-extensive generalization of Wigner's surmises for ensembles belonging to the orthogonal, unitary and symplectic symmetry universal classes.
Cite
@article{arxiv.cond-mat/0410010,
title = {Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics},
author = {A. Y. Abul-Magd},
journal= {arXiv preprint arXiv:cond-mat/0410010},
year = {2007}
}
Comments
Accepted for publication in Physics Letters A