頁籤選單縮合
題 名 | Layering Transitions in a Random Variable Transverse Field |
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作 者 | Bahmad,L.; Benyoussef,A.; Ez-Zahraouy,H.; | 書刊名 | Chinese Journal of Physics |
卷 期 | 40:5 2002.10[民91.10] |
頁 次 | 頁537-547 |
分類號 | 330 |
關鍵詞 | |
語 文 | 英文(English) |
英文摘要 | The effect of a random surface transverse magnetic field (TMF) on the order-disorder layering transitions of a spin-1/2 Ising model is investigated using the finite cluster (FC) approximation. Each layer k (k=1,2,...,N) of the film (formed with N layers) is subject to the transverse magnetic field Ωk=Ωs/kα, being a constant. Ωs is the surface transverse magnetic field distributed according to a probability law given in the body of the text. The order-disorder layering transitions of a layer k depend strongly on the concentration p of the surface transverse magnetic field, and there exists a critical probability pc, below which the film is always ordered at very low temperatures for any values of the surface transverse magnetic field Ωs. Above this critical probability, we show the existence of a sequence of probabilities pc(k) at which the first k layers will be disordered at a sequence of critical surface transverse magnetic field values Ω□(k). We show that pc(k) and Ω□(k) depend on the exponent α and on the film thickness N. The behaviour of the longitudinal and transverse magnetisations as well as the critical exponents are also investigated for several values of film thickness and exponent α. |
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