Local-functional theory of critical adsorption - art. no. 065102

Local-functional methods are applied to critical adsorption in three-dimens ional Ising-like systems. The universal order-parameter-profile scaling fun ctions, P+/-(x), along the critical isochore (+) and phase boundary (-). ar e calculated along with their associated universal amplitudes. Good agreeme nt is found with the results of Monte Carlo simulations. General properties of P+/-(x) for small and large scaled distance, x, are elucidated. An orde r-parameter scaling function, P-c(x), for critical adsorption along the cri tical isotherm is introduced and calculated.