The Theory of Boundary Critical Phenomena
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9610143,
title = {The Theory of Boundary Critical Phenomena},
author = {H. W. Diehl},
journal= {arXiv preprint arXiv:cond-mat/9610143},
year = {2011}
}
Comments
24 pages, Latex with 2 figures as eps-files and World Scientific stylefile sprocl.sty, minor additions, updates and corrections