Random Matrix Theory of Scattering in Chaotic and Disordered Media
Mesoscale and Nanoscale Physics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
We review the random matrix theory describing elastic scattering through zero-dimensional ballistic cavities (having chaotic classical dynamics) and quasi-one dimensional disordered systems. In zero dimension, general symmetry considerations (flux conservation and time reversal symmetry) are only considered, while the combination law of scatterers put in series is taken into account in quasi-one dimension. Originally developed for calculating the distribution of the electrical conductance of mesoscopic systems, this theory naturally reveals the universal behaviors characterizing elastic scattering of various scalar waves.
Keywords
Cite
@article{arxiv.cond-mat/0107437,
title = {Random Matrix Theory of Scattering in Chaotic and Disordered Media},
author = {Jean-Louis Pichard},
journal= {arXiv preprint arXiv:cond-mat/0107437},
year = {2007}
}
Comments
17 pages, review article