Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-09-19
Phys. Lett. A 361, 450 (2007)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 2 figures
Scientific paper
10.1016/j.physleta.2006.09.080
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.
No associations
LandOfFree
Nonextensive random-matrix theory based on Kaniadakis entropy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonextensive random-matrix theory based on Kaniadakis entropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonextensive random-matrix theory based on Kaniadakis entropy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-465554