Universal order-parameter profiles in confined critical systems with boundary fields
Theodore W. Burkhardt, Erich Eisenriegler · Journal of Physics A Mathematical and General · 1985
The authors consider systems at the bulk critical temperature with an ordering field applied at the boundary. For various boundary geometries, universal expressions for the spatial dependence of the order parameter are obtained by conformal mapping of the known results for the half space. Analytical results for strip, wedge and other two-dimensional geometries and for systems with spherical boundaries in arbitrary dimension are given.