Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-11-23
Phys. Rev. E 59, 6541-6551 (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
16 pages, Latex
Scientific paper
10.1103/PhysRevE.59.6541
We study the spectral statistics for extended yet finite quasi 1-d systems which undergo a transition from periodicity to disorder. In particular we compute the spectral two-point form factor, and the resulting expression depends on the degree of disorder. It interpolates smoothly between the two extreme limits -- the approach to Poissonian statistics in the (weakly) disordered case, and the universal expressions derived for the periodic case. The theoretical results agree very well with the spectral statistics obtained numerically for chains of chaotic billiards and graphs.
Dittrich Thomas
Mehlig Bernhard
Pollner Peter
Schanz Holger
Smilansky Uzy
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