Non-Hermiticity and Universality
Statistical Mechanics
2024-12-11 v2
Abstract
. We study the statistical properties of the eigenvalues of non-Hermitian operators assoicated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the correlators is obtained. Further the eigenvalues are found to behave like particles moving on a complex plane under 2-body (inverse square) and 3-body interactions and there seems to underlie a deep connection and universality in the spectral behaviour of different complex systems. .
Cite
@article{arxiv.cond-mat/0105007,
title = {Non-Hermiticity and Universality},
author = {Pragya Shukla},
journal= {arXiv preprint arXiv:cond-mat/0105007},
year = {2024}
}
Comments
6 pages, No figures