2018/01/31 by Nikita Olekhno, Nikita A. Olekhno, Y. M. Beltukov +1 · 4 citations
Computer Science · Physics and Astronomy · #Component (thermodynamics) #Condensed matter physics #Dielectric #Eigenvalues and eigenvectors #Materials science #Matrix (chemical analysis) #Nanocomposite #Nanotechnology #Photonic Crystals and Applications #Physics #Plasmon #Quantum mechanics #Random matrix #Random phase approximation #Statistical physics #Theoretical and Computational Physics #Topological and Geometric Data Analysis #Work (physics) #cond-mat.dis-nn #cond-mat.mes-hall #physics.optics
paper · pdf · doi:10.1103/physreve.97.050101
published in Physical review. E 97(5), 050101 (American Physical Society) · 6 pages, 3 figures; References added
openalex publication_date 2018/05/14 · arxiv created 2018/11/04 · arxiv updated 2018/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Random impedance networks are widely used as a model to describe plasmon resonances in disordered metal-dielectric and other two-component nanocomposites. In the present work, the spectral properties of resonances in random networks are studied within the framework of the random matrix theory. We have shown that the appropriate ensemble of random matrices for the considered problem is the Jacobi ensemble (the MANOVA ensemble). The obtained analytical expressions for the density of states in such resonant networks show a good agreement with the results of numerical simulations in a wide range of metal filling fractions 0<p<1. A correspondence with the effective medium approximation is observed.