A Monte Carlo study of random surface field effect on layering transitions

Details A Monte Carlo study of random surface field effect on layering transitions A Monte Carlo study of random surface field effect on layering transitions

2004-10-07

arxiv.org/abs/cond-mat/0410165v1

Physica A Vol. 358 p. 86 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages latex, 6 figures postscript

Scientific paper

10.1016/j.physa.2005.06.008

The effect of a random surface field, within the bimodal distribution, on the layering transitions in a spin-1/2 Ising thin film is investigated, using Monte Carlo simulations. It is found that the layering transitions depend strongly on the concentration $p$ of the disorder of the surface magnetic field, for a fixed temperature, surface and external magnetic fields. Indeed, the critical concentration $p_c(k)$ at which the magnetisation of each layer $k$ changes the sign discontinuously, decreases for increasing the applied surface magnetic field, for fixed values of the temperature $T$ and the external magnetic field $H$. Moreover, the behaviour of the layer magnetisations as well as the distribution of positive and negative spins in each layer, are also established for specific values of $H_s$, $H$, $p$ and the temperature $T$. \\

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