Non-Hermitian Euclidean random matrix theory

Details Non-Hermitian Euclidean random matrix theory Non-Hermitian Euclidean random matrix theory

2011-02-09

arxiv.org/abs/1102.1850v2

Phys. Rev. E 84, 011150 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 9 figures

Scientific paper

10.1103/PhysRevE.84.011150

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.

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