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

¹ Max-Planck-Institute for Polymer Research - Ackermannweg 10 55128 Mainz, Germany
² Institute for Physical Chemistry, Bulgarian Academy of Sciences 1113 Sofia, Bulgaria

Corresponding author: vilgis@mpip-mainz.mpg.de

Received: 24 August 2005
Accepted: 9 November 2005

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 (here is the Flory exponent) and as , although the initial characteristic time of coil flattening is expected to grow with block size as . Since typically 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.