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Nonextensive random-matrix theory based on Kaniadakis entropy
Faculty
Science
Year:
2007
Type of Publication:
Article
Pages:
450-454
Authors:
Abul-Magd, A. Y
DOI:
10.1016/j.physleta.2006.09.080
Journal:
PHYSICS LETTERS A ELSEVIER SCIENCE BV
Volume:
361
Research Area:
Physics
ISSN
ISI:000244508400002
Keywords :
Nonextensive random-matrix theory based , Kaniadakis entropy
Abstract:
The joint eigenvalue distributions of random-matrix ensembles are derived by applying the principle maximum entropy to the Renyi, Abe and Kaniadakis entropies. While the Renyi entropy produces essentially the same matrix-element distributions as the previously obtained expression by using the Tsallis entropy, and the Abe entropy does not lead to a closed form expression, the Kaniadakis entropy leads to a new generalized form of the Wigner surmise that describes a transition of the spacing distribution from chaos to order. This expression is compared with the corresponding expression obtained by assuming Tsallis' entropy as well as the results of a previous numerical experiment. (c) 2006 Elsevier B.V. All rights reserved.
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