Non-Hermitian Euclidean random matrix theory
Copyright policy )Non-Hermitian Euclidean random matrix theory
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.
11 pages, 9 figures
Models, Statistical, Fourier Analysis, Statistical Mechanics (cond-mat.stat-mech), Movement, Physics, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Models, Theoretical, 530, 510, Diffusion, Quantum Theory, [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Condensed Matter - Statistical Mechanics, Algorithms, Probability
Models, Statistical, Fourier Analysis, Statistical Mechanics (cond-mat.stat-mech), Movement, Physics, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Models, Theoretical, 530, 510, Diffusion, Quantum Theory, [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Condensed Matter - Statistical Mechanics, Algorithms, Probability
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