1995/11/30 by Dmitry V. Savin, D. V. Savin, Savin, D. V.
Computer Science · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Condensed Matter (cond-mat) #FOS: Physical sciences #Matrix Theory and Algorithms #Nuclear Theory (nucl-th) #Random Matrices and Applications #Scientific Research and Discoveries #chao-dyn #cond-mat #nlin.CD #nucl-th
paper · pdf · doi:10.48550/arxiv.chao-dyn/9511010
4 pages, REVTeX, no figures, submitted to Phys. Lett. A
arxiv created 1995/12/01 · openalex publication_date 1995/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Random band matrices relevant for open chaotic systems are introduced and studied. The scattering model based on such matrices may serve for the description of preequilibrium chaotic scattering. In the limit of a large number of open channels we calculate the average S-matrix and S-matrix's pole distribution which are found to reduce to those of the full matrix (GOE) case under proper renormalization of the energy scale and strength of coupling to the continuum.