PHYSICS LETTERS A, cilt.326, sa.1-2, ss.27-31, 2004 (SCI-Expanded)
Using the lowest approximation of the cluster variation method and Onsager theory, calculations of the sound attenuation (alpha) near the critical point in a spin-1 Ising model were performed at different frequencies (omega) and different magnetic field values (H) simultaneously and the shift in temperature of the attenuation maximum (DeltaT) was detected. It is found that the attenuation 'peaked' at higher temperatures with decreasing frequency and increasing field values, obeying an approximately exponential function in omega-DeltaT plots and linear function in H-DeltaT plots. 'Closed loops' are also observed in the alpha-alpha plots. These results are in qualitative agreement with the measurements of the ultrasound attenuation near the Neel point in magnetic insulators. (C) 2004, Elsevier B.V. All rights reserved.