Physics – Condensed Matter
Scientific paper
1996-09-16
Physica A 237 (1997) 240
Physics
Condensed Matter
20 pages, 6 figures, uses elsart.sty, to be published in Physica A
Scientific paper
Motivated by recent experimental activities on surface critical phenomena, we present a detailed theoretical study of the near-surface behavior of the local order parameter m(z) in Ising-like spin systems. Special attention is paid to the crossover regime between ``ordinary'' and ``normal'' transition in the three-dimensional semi-infinite Ising model, where a finite magnetic field H_1 is imposed on the surface which itself exhibits a reduced tendency to order spontaneously. As the theoretical foundation, the spatial behavior of m(z) is discussed by means of phenomenological scaling arguments, and a finite-size scaling analysis is performed. Then we present Monte Carlo results for m(z) obtained with the Swendsen-Wang algorithm. In particular the power-law increase of the magnetization, predicted for a small H_1 by previous work of the authors, is corroborated by the numerical results. The relevance of these findings for experiments on critical adsorption in systems where a small effective surface field occurs is pointed out.
Czerner Peter
Ritschel Uwe
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