Randomly incomplete spectra and intermediate statistics

Details Randomly incomplete spectra and intermediate statistics Randomly incomplete spectra and intermediate statistics

2006-08-07

arxiv.org/abs/cond-mat/0608165v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 2 figures. To appear in Physical Review E

Scientific paper

10.1103/PhysRevE.74.036212

By randomly removing a fraction of levels from a given spectrum a model is constructed that describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied to the transitions towards Poisson from random matrix theory (RMT) spectra and picket fence spectra. It is shown that the Fredholm determinant formalism of RMT extends naturally to describe incomplete RMT spectra.

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