The Theory of Boundary Critical Phenomena

Details The Theory of Boundary Critical Phenomena The Theory of Boundary Critical Phenomena

1996-10-18

arxiv.org/abs/cond-mat/9610143v2

Int.J.Mod.Phys.B11:3503-3523,1997

Physics

Condensed Matter

Statistical Mechanics

24 pages, Latex with 2 figures as eps-files and World Scientific stylefile sprocl.sty, minor additions, updates and correction

Scientific paper

10.1142/S0217979297001751

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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