  We study the symmetry breaking of acoustic resonances measured by Ellegaard
et al., Phys. Rev. Lett. 77, 4918 (1996), in quartz blocks. The observed
resonance spectra show a gradual transition from a superposition of two
uncoupled components, one for each symmetry realization, to a single component
well represented by a Gaussian orthogonal ensemble (GOE) of random matrices. We
discuss the applicability of superstatistical random-matrix theory to the final
stages of the symmetry breaking transition. A comparison is made between
different formula of the superstatistics and a pervious work [Abd El-Hady et
al, J. Phys. A: Math. Theor. 35, 2361 (2002)], which describes the same data by
introducing a third GOE component. Our results suggest that the
inverse-chi-square superstatistics could be used for studying the whole
symmetry breaking process.
