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We consider the adsorption kinetics of a regular block-copolymer of totallength $N$ and block size $M$ at a selective liquid-liquid interface in thelimit of strong localization. We propose a simple analytic theory based onscaling considerations which describes the relaxation of the initial coil intoa flat-shaped layer. The characteristic times for attaining equilibrium valuesof the gyration radius components perpendicular and parallel to the interfaceare predicted to scale with chain length $N$ and block length $M$ as$\tau_{\perp} \propto M^{1+2\nu}$ (here $\nu\approx 0.6$ is the Flory exponent)and as $\tau_{\parallel} \propto N^2$, although initially the rate of coilflattening is expected to decrease with block size as $\propto M^{-1}$. Sincetypically $N\gg M$ for multiblock copolymers, our results suggest that theflattening dynamics proceeds faster perpendicular rather than parallel to theinterface. We also demonstrate that these scaling predictions agree well withthe results of extensive Monte Carlo simulations of the localization dynamics.

Copolymer adsorption kinetics at a selective liquid-liquid interface: Scaling theory and computer experiment