Abstract
The change of the sound velocity δv(ω,T) and the damping of sound waves γ(ω,T) in spin glasses are calculated in the frame-work of an Ising model with a random distribution of exchange interactions. The calculation is based on linearized equations of motion for the spins and on an improved mean field approximation which includes the Onsager reaction field. Near to the freezing temperatureTf and at high temperatures δv(ω,T) and ωγ(ω,T) turn out to be approximately proportional to the real and the imaginary parts of the dynamical susceptibility. For the special case of infinite range interactions atT=Tf one has δv(ω, Tf) ∞ (ω τ)1/2 and γ(ω, Tf) ∞ (τ/ω)1/2 where τ is the relaxation time of independent spins. However, already slightly aboveTf the frequency dependence of both quantities becomes rather small for RKKY spin glasses. At high temperatures both, δv(ω,T) and γ(ω,T) vary asT−1.
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