title: Phenomenological model for symmetry breaking in a chaotic system.
abstract: 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 at 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.
authors.affiliation: Faculty of Science, Zagazig University, Zagazig, Egypt.
authors.forename: A Y
authors.initials: AY
authors.lastname: Abul-Magd
authors.forename: M H
authors.initials: MH
authors.lastname: Simbel