Local-functional theory of critical adsorption

Borjan, Z. and Upton, P.J. (2001). Local-functional theory of critical adsorption. Physical Review E, 63(6) 065102-1-065102-4.

DOI: https://doi.org/10.1103/PhysRevE.63.065102

Abstract

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, Pc(x), for critical adsorption along the critical isotherm is introduced and calculated.

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