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Random copolymer adsorption: Morita approximation compared to exact numerical simulations.

Alexey Polotsky¹, Andreas Degenhard, Friederike Schmid

¹Institute of Macromolecular Compounds, Russian Academy of Sciences, 31 Bolshoy pr., 199004 St. Petersburg, Russia. alexey.polotsky@gmail.com

The Journal of Chemical Physics

|August 14, 2009

Summary

We present a study on random lattice copolymers adsorption onto surfaces. Analytical and simulation methods show excellent agreement in predicting chain behavior and free energy, especially for specific sequence types.

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Area of Science:

Polymer Physics
Statistical Mechanics
Surface Science

Background:

Understanding polymer adsorption is crucial for materials science and nanotechnology.
Lattice copolymer adsorption behavior depends significantly on sequence correlations and monomer-surface interactions.

Purpose of the Study:

To investigate the adsorption of ideal random lattice copolymers with sequence correlations on homogeneous substrates.
To compare analytical and numerical simulation methods for predicting copolymer adsorption characteristics.

Main Methods:

Analytical solution using the constrained annealed approximation and generating function technique.
Direct numerical simulations of lattice chains averaged over multiple random sequence realizations.

Main Results:

Both methods accurately calculate the free energy and conformational properties of adsorbed chains.
Excellent quantitative agreement was observed between analytical and simulation results.
Agreement is particularly strong for Bernoullian and quasialternating random sequences, and with neutral or repelling non-adsorbing monomers.

Conclusions:

The constrained annealed approximation and generating function technique are reliable for studying copolymer adsorption.
The study validates the quantitative accuracy of theoretical models against numerical simulations for complex copolymer systems.