Phenomenological model for symmetry breaking in chaotic system

Details Phenomenological model for symmetry breaking in chaotic system Phenomenological model for symmetry breaking in chaotic system

2004-09-25

arxiv.org/abs/cond-mat/0409676v1

Phys. Rev. E 70, 046218 (2004)

Physics

Condensed Matter

Statistical Mechanics

accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.70.046218

We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the fractional level densities of the sequences and the symmetry breaking interaction is deduced by comparing the asymptotic expression of the level-number variance with the corresponding expression obtained using the perturbation theory. This relation is supported by a comparison with previous numerical calculations. The predictions of the model for the nearest-neighbor-spacing distribution and the spectral rigidity are in agreement with the results of an acoustic resonance experiment.

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