Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2002-07-13
Physics
Condensed Matter
Soft Condensed Matter
10 Pages Latex, 9 Figures Postscript. To appear in JMMM (2002)
Scientific paper
10.1016/S0304-8853(02)00486-9
The magnetic order-disorder layering transitions of a spin-1 Ising model are investigated, under the effect of a variable surface crystal field $\Delta_{s}$, using the mean field theory. Each layer $k$, of the film formed with $N$ layers, disorders at a finite surface crystal field distributed according to the law $\Delta_k=\Delta_s/k^\alpha$, $k=1,2,...,N$ and $\alpha$ being a positive constant. We have established the temperature-crystal field phase diagrams and found a constant tricritical point and a reentrant phenomenon for the first $k_0$ layers. This reentrant phenomenon is absent for the remaining $N-k_0 $ layers, but the tricritical points subsist and depend not only on the film thickness but also on the exponent $\alpha$. On the other hand, the thermal behaviour of the surface magnetisation for a fixed value of the surface crystal field $\Delta_{s}$ and selected values of the parameter $\alpha$ are established.
Bahmad L.
Benyoussef Abdelilah
Ez-Zahraouy Hamid
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