Random Matrix Theory of Scattering in Chaotic and Disordered Media

Details Random Matrix Theory of Scattering in Chaotic and Disordered Media Random Matrix Theory of Scattering in Chaotic and Disordered Media

2001-07-20

arxiv.org/abs/cond-mat/0107437v1

P. Sebbah (ed.), Waves and Imaging through Complex Media, 125-140, 2001 Kluwer Academic Publishers

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

17 pages, review article

Scientific paper

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.

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