Adsorption of Multi-block and Random Copolymer on a Solid Surface: Critical Behavior and Phase Diagram

Abstract

The adsorption of a single multi-block $AB$-copolymer on a solid planar substrate is investigated by means of computer simulations and scaling analysis. It is shown that the problem can be mapped onto an effective homopolymer adsorption problem. In particular we discuss how the critical adsorption energy and the fraction of adsorbed monomers depend on the block length $M$ of sticking monomers $A$, and on the total length $N$ of the polymer chains. Also the adsorption of the random copolymers is considered and found to be well described within the framework of the annealed approximation. For a better test of our theoretical prediction, two different Monte Carlo (MC) simulation methods were employed: a) off-lattice dynamic bead-spring model, based on the standard Metropolis algorithm (MA), and b) coarse-grained lattice model using the Pruned-enriched Rosenbluth method (PERM) which enables tests for very long chains. The findings of both methods are fully consistent and in good agreement with theoretical predictions.

27 pages, 12 figures

References in corpus (5)

• Simulations of grafted polymers in a good solvent
• Simulations of lattice animals and trees
• Dependence of the Critical Adsorption Point on Surface and Sequence Disorders for Self-Avoiding Walks Interacting with a Planar Surface
• Polymer adsorption onto random planar surfaces: Interplay of polymer and surface correlation
• Localization of a multiblock copolymer at a selective interface: Scaling predictions and Monte Carlo verification

Cited by in corpus (5)

• A review of Monte Carlo simulations of polymers with PERM
• Forced-induced desorption of a polymer chain adsorbed on an attractive surface - Theory and Computer Experiment
• Pulling an adsorbed polymer chain off a solid surface
• Monte Carlo Simulations of Lattice Models for Single Polymer Systems
• On the Adsorption of Two-State Polymers