# Copolymer adsorption kinetics at a selective liquid-liquid interface: Scaling theory and computer experiment Source: [Copolymer adsorption kinetics at a selective liquid-liquid interface: Scaling theory and computer experiment]() Collection index: [llms.txt]() Data updated: 2025-10-23T23:04:12.317Z Authors: Andrea Corsi, Andrey Milchev, Vakhtang G. Rostiashvili, Thomas A. Vilgis Published: 2005-04-03T17:14:51.000Z ## Abstract We consider the adsorption kinetics of a regular block-copolymer of total length $N$ and block size $M$ at a selective liquid-liquid interface in the limit of strong localization. We propose a simple analytic theory based on scaling considerations which describes the relaxation of the initial coil into a flat-shaped layer. The characteristic times for attaining equilibrium values of the gyration radius components perpendicular and parallel to the interface are 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 coil flattening is expected to decrease with block size as $\\propto M^{-1}$. Since typically $N\\gg M$ for multiblock copolymers, our results suggest that the flattening dynamics proceeds faster perpendicular rather than parallel to the interface. We also demonstrate that these scaling predictions agree well with the results of extensive Monte Carlo simulations of the localization dynamics. ## Recorded benchmark results A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. ## Original sources and implementation [Original paper]() [PDF]()