On the temperature dependence of the sound attenuation maximum as a function of frequency and magnetic field in a spin-1 Ising model near the critical region

Using the lowest approximation of the cluster variation method and Onsager theory, calculations of the sound attenuation ( α) near the critical point in a spin-1 Ising model were performed at different frequencies ( ω) and different magnetic field values ( H) simultaneously and the shift in temperat...

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Bibliographic Details
Published in:Physics letters. A 2004-05, Vol.326 (1), p.27-31
Main Authors: Erdem, Rıza, Keskin, Mustafa
Format: Article
Language:English
Subjects:
Onsager theory
Sound attenuation maximum
Spin-1 Ising model
Temperature dependence
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Summary:Using the lowest approximation of the cluster variation method and Onsager theory, calculations of the sound attenuation ( α) near the critical point in a spin-1 Ising model were performed at different frequencies ( ω) and different magnetic field values ( H) simultaneously and the shift in temperature of the attenuation maximum (Δ T) 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 ω–Δ T plots and linear function in H–Δ T plots. ‘Closed loops’ are also observed in the α– α plots. These results are in qualitative agreement with the measurements of the ultrasound attenuation near the Néel point in magnetic insulators.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2004.04.030