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      Critical Adsorption in Systems with Weak Surface Field: The Renormalization-Group Approach

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          Abstract

          We study the surface critical behavior of semi-infinite systems belonging to the bulk universality class of the Ising model. Special attention is paid to the local behavior of experimentally relevant quantities such as the order parameter and the correlation function in the crossover regimes between different surface universality classes, where the surface field h_1 and the temperature enhancement can induce additional macroscopic length scales. Starting from the field-theoretical phi^4 model and employing renormalization-group improved perturbation theory (epsilon expansion), explicit results for the local behavior of the correlation and structure function (0-loop) and the order parameter (1-loop) are derived. Supplementing earlier studies that focussed on the special transition, we here pay particular attention to the situation where a large c suppresses the tendency to order in the surface (ordinary transition) but a surface field \(h_1\) generates a small surface magnetization m_1. Our results are in good agreement with recent phenomenological considerations and Monte Carlo studies devoted to similar questions and, combined with the latter, provide a much more detailed understanding of the local properties of systems with weak surface fields.

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          Critical behavior of the three-dimensional Ising model: A high-resolution Monte Carlo study

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            Critical phenomena in semi-infinite systems. II. Mean-field theory

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              Critical behavior at supercritical surface enhancement: Temperature singularity of surface magnetization and order-parameter profile to one-loop order

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                Author and article information

                Journal
                22 October 1996
                Article
                10.1016/S0550-3213(97)00015-1
                cond-mat/9610161
                080c5e91-6664-4236-b7bd-a6992dc69df4
                History
                Custom metadata
                Nucl.Phys. B 489 [FS] (1997) 653
                32 pages, Latex, uses elsart.sty, 7 postscript figures
                cond-mat

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