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Sound propagation and damping are studied near the spin-glass transition for a time-dependent Landau-Ginzburg model coupled to phonons. The sound speed decreases linearly with T-Tg, and the sound damping diverges as (T-Tg)^-1, when the spin-glass transition, Tg, is approached from high temperatures. At the spin-glass transition, the sound speed has a term proportional to ω1/2, and the sound damping is proportional to ω^-1/2.
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Hertz et al. (1981) studied this question.
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