Saber, Sina and Saberi, Abbas Ali ORCID: 0000-0001-8864-4748 (2022). Universal scaling and criticality of extremes in random matrix theory. Phys. Rev. E, 105 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053
Full text not available from this repository.Abstract
We present a random matrix realization of a two-dimensional percolation model with the occupation probability p. We find that the behavior of the model is governed by the two first extreme eigenvalues. While the second extreme eigenvalue resides on the moving edge of the semicircle bulk distribution with an additional semicircle functionality on p, the first extreme exhibits a disjoint isolated Gaussian statistics which is responsible for the emergence of a rich finite-size scaling and criticality. Our extensive numerical simulations along with analytical arguments unravel the power-law divergences due to the coalescence of the first two extreme eigenvalues in the thermodynamic limit. We develop a scaling law that provides a universal framework in terms of a set of scaling exponents uncovering the full finite-size scaling behavior of the extreme eigenvalue's fluctuation. Our study may provide a simple practical approach to capture the criticality in complex systems and their inverse problems with a possible extension to the interacting systems.
Item Type: | Journal Article | ||||||||||||
Creators: |
|
||||||||||||
URN: | urn:nbn:de:hbz:38-664156 | ||||||||||||
DOI: | 10.1103/PhysRevE.105.L022102 | ||||||||||||
Journal or Publication Title: | Phys. Rev. E | ||||||||||||
Volume: | 105 | ||||||||||||
Number: | 2 | ||||||||||||
Date: | 2022 | ||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||
ISSN: | 2470-0053 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
|
||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/66415 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |