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Propagation of ultrasound near the phase transition in Ising systems

The effects of order-parameter strain coupling on the critical (tricritical) sound attenuation and dispersion are studied above Tc in the elastically isotropic Ising model. Under free boundary conditions a cross-over in the behaviour of acoustic quantities to a ‘strong-coupling’ regime is predicted. New scaling relations for the critical attenuation and dispersion are obtained and the corresponding scaling functions are calculated using an ε-expansion. Non-asymptotic effects are also discussed.