Non-Hermitian Euclidean random matrix theory
Disordered Systems and Neural Networks
2011-08-26 v2 Statistical Mechanics
Abstract
We develop a theory for the eigenvalue density of arbitrary non-Hermitian Euclidean matrices. Closed equations for the resolvent and the eigenvector correlator are derived. The theory is applied to the random Green's matrix relevant to wave propagation in an ensemble of point-like scattering centers. This opens a new perspective in the study of wave diffusion, Anderson localization, and random lasing.
Cite
@article{arxiv.1102.1850,
title = {Non-Hermitian Euclidean random matrix theory},
author = {A. Goetschy and S. E. Skipetrov},
journal= {arXiv preprint arXiv:1102.1850},
year = {2011}
}
Comments
11 pages, 9 figures