Random matrices ensembles and the extensivity of the Sq entropy

A. C. Bertuola; M. P. Pato

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arXiv · 1110.2948

Random matrices ensembles and the extensivity of the Sq entropy

A. C. Bertuola·M. P. Pato

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Abstract

We consider the joint density distribution of the elements of certain random matrix models which are example of globally correlated and asymptotically scale-invariant distributions. It is shown that in their cases, the nonadditive entropy $S_q$ is extensive only when the limit $q\rightarrow 1$ is taken. On the other hand, when restriction in the occupation of the phase space is imposed extensiveness is obtained for values of the entropic parameter different of one.

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BibTeX RIS

A. C. Bertuola, M. P. Pato. 2011-10-13. Random matrices ensembles and the extensivity of the Sq entropy. https://arxiv.org/abs/1110.2948

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