Random copolymer adsorption: Morita approximation compared to exact numerical simulations

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

2009-07-22

arxiv.org/abs/0907.3773v2

J. Chem. Phys. 131, 054903 (2009)

Physics

Condensed Matter

Soft Condensed Matter

19 pages, 9 figures

Scientific paper

10.1063/1.3193723

We study the adsorption of ideal random lattice copolymers with correlations in the sequences on homogeneous substrates with two different methods: An analytical solution of the problem based on the constrained annealed approximation introduced by Morita in 1964 and the generating functional (GF) technique, and direct numerical simulations of lattice chains averaged over many realizations of random sequences. Both methods allow to calculate the free energy and different conformational characteristics of the adsorbed chain. The comparison of the results for random copolymers with different degree of correlations and different types of nonadsorbing monomers (neutral or repelling from the surface) shows not only qualitative but a very good quantitative agreement, especially in the cases of Bernoullian and quasi-alternating random sequences.

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