Local-functional theory of critical adsorption

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