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An integral-equation theory based on the Born–Green–Yvon (BGY) hierarchy for a self-interacting polymer is used to describe a polymer adsorbed at an oil–water interface. The polymer is represented by a square-well chain. The interaction between a polymer segment and an oil–water interface is represented by an asymmetric square-well potential where the well-depth on one side reflects water–polymer and the well depth on the other side reflects oil–polymer interactions. To truncate the BGY hierarchy, we introduce two approximations: First we use the Markov-chain approximation for intra-molecular correlation functions, and second, we use the effective intra-molecular energy in the bulk to approximate that at the interface. The results are compared with Monte Carlo-simulation data. For short chains, when the attractive interaction between the segments is weak, the theory is in good agreement with Monte Carlo simulation. Stronger segment–segment attractive interactions increase adsorption.

An integral-equation theory for a self-interacting polymer adsorbed at an interface