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

dc.creatorCorsi, Andrea
dc.creatorMilchev, Andrey
dc.creatorRostiashvili, Vakhtang G.
dc.creatorVilgis, Thomas A.
dc.date2005-04-03
dc.date2005-08-26
dc.date.accessioned2026-07-07T07:59:35Z
dc.date.available2026-07-07T07:59:35Z
dc.descriptionWe 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 $τ_{\perp} \propto M^{1+2ν}$ (here $ν\approx 0.6$ is the Flory exponent) and as $τ_{\parallel} \propto N^2$, 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.
dc.description4 pages, 4 figures, submited to Europhys. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0504056
dc.identifierhttp://arxiv.org/abs/cond-mat/0504056
dc.identifierEurophys. Lett. 73, 204-210 (2006)
dc.identifierdoi:10.1209/epl/i2005-10372-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128419
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleCopolymer adsorption kinetics at a selective liquid-liquid interface: Scaling theory and computer experiment
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