Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-12-11
Phys. Rev. Lett. vol. 82, p. 4220, (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 3 PostScript figures
Scientific paper
10.1103/PhysRevLett.82.4220
We show that the distribution of the time delay for one-dimensional random potentials is universal in the high energy or weak disorder limit. Our analytical results are in excellent agreement with extensive numerical simulations carried out on samples whose sizes are large compared to the localisation length (localised regime). The case of small samples is also discussed (ballistic regime). We provide a physical argument which explains in a quantitative way the origin of the exponential divergence of the moments. The occurence of a log-normal tail for finite size systems is analysed. Finally, we present exact results in the low energy limit which clearly show a departure from the universal behaviour.
Comtet Alain
Texier Christophe
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