Localization of a multiblock copolymer at a selective interface: scaling predictions and Monte Carlo verification |
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Authors: | Corsi Andrea Milchev Andrey Rostiashvili Vakhtang G Vilgis Thomas A |
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Affiliation: | Max Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany. |
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Abstract: | We investigate the localization of a hydrophobic-polar regular copolymer at a selective solvent-solvent interface with emphasis on the impact of block length M on the copolymer behavior. The considerations are based on simple scaling arguments and use the mapping of the problem onto a homopolymer adsorption problem. The resulting scaling relations treat the gyration radius of the copolymer chain perpendicular and parallel to the interface in terms of chain length N and block size M, as well as the selectivity parameter chi. The scaling relations differ for the case of weak and strong localization. In the strong localization limit a scaling relation for the lateral diffusion coefficient D( parallel) is also derived. We implement a dynamic off-lattice Monte Carlo model to verify these scaling predictions. For chain lengths in a wide range (32=N=512) we find good agreement with the scaling predictions. |
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