The nonasymptotic critical properties of sound propagation are studied
in compressible Ising system above T-C. In the present paper we analy
se a model where in addition to the coupling to two order-parameter fl
uctuations the sound mode couples linearly to the fluctuations of spin
-energy an lattice-energy densities. Both subsystems exchange energy w
ith the rate determined by the bare spin-lattice relaxation time. The
total energy may be conserved or not. The crossover between insulator-
like behaviour similar to t(-2 alpha) and metal-like behaviour similar
to t(-(z nu+alpha)) in ultrasonic attenuation is investigated accordi
ng to the value of ultrasonic frequency, the reduced temperature t, ba
re relaxation times and various coupling constants.