Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-06-20
Surf. Sci. Vol. 552, pages 1-7 (2004)
Physics
Condensed Matter
Soft Condensed Matter
10 pages Latex, 9 figures Postscript format
Scientific paper
10.1016/j.susc.2004.01.044
The order-disorder layering transitions, of the Blume-Capel model, are studied using the Monte Carlo (MC) simulations, in the presence of a variable crystal field. For a very low temperature, the results are in good agreement with the ground state study. The first order transition line, found for low temperatures, is connected to the second order transition line, seen for higher temperatures, by a tri-critical point, for each layer. The reentrant phenomena, caused by a competition of thermal fluctuations and an inductor magnetic field created by the deeper layers, is found for the first $k_0$ layers from the surface, where $k_0$ is exactly the number of layering transitions allowed by the ground state study. The layer magnetizations $m_k$, the magnetic susceptibilities $\chi_{m,k}$ and the quadrupolar magnetic susceptibilities $\chi_{q,k}$ and the corresponding critical exponent, for each layer $k$, are also investigated.
Bahmad L.
Benyoussef Abdelilah
Ez-Zahraouy Hamid
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