Adsorption of an Alternating Copolymer near a Fluid-Fluid Interface

We use numerical methods and analytical analysis to determine the behavior of a single alternating AB copolymer at a liquid-liquid interface. Monomers of type A favor fluid 1, while B monomers prefer fluid 2. Using the transfer matrix formalism, we calculate the monomer density profile near the interface and determine the phase diagram. This phase diagram contains two delocalized phases and a localized phase. We determine the scaling behavior for the localization length as a function of the monomersolvent interaction energies. An effective potential is derived that correctly explains the scaling behavior observed in our numerical studies.