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arxiv: cond-mat/9610143 · v2 · pith:KAJ2PHSLnew · submitted 1996-10-18 · ❄️ cond-mat.stat-mech · hep-ph

The Theory of Boundary Critical Phenomena

classification ❄️ cond-mat.stat-mech hep-ph
keywords criticalboundaryphenomenabehaviorbulkgivensurfacetheory
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An introduction into the theory of boundary critical phenomena and the application of the field-theoretical renormalization group method to these is given. The emphasis is on a discussion of surface critical behavior at bulk critical points of magnets, binary alloys, and fluids. Yet a multitude of related phenomena are mentioned. The most important distinct surface universality classes that may occur for a given universality class of bulk critical behavior are described, and the respective boundary conditions of the associated field theories are discussed. The short-distance singularities of the order-parameter profile in the diverse asymptotic regimes are surveyed.

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