Directed walk model of random copolymer adsorption onto random surface

作者：Polotsky Alexey A^*

来源：Journal of Physics A-Mathematical and Theoretical, 2012, 45(42): 425004.

DOI：10.1088/1751-8113/45/42/425004

Adsorption of an (AB) random copolymer (RC) onto an (ab) random heterogeneous surface (RS), where both the RC and the RS have correlations, is studied using a two-dimensional partially directed walk model of the polymer. The problem is solved by using a combination of the annealed approximation for averaging over polymer and surface randomness with the generating functions (GFs) approach. A compact determinant equation for finding the smallest singularity of the GF of the adsorbed RC chain is derived. Dependences of inverse temperature of the adsorption transition on the RC and the RS correlation parameters are calculated for the chosen sets of monomer-site interaction parameters. We analyze the influence of interplay between correlations in the RC and the RS on the transition temperature, observe and discuss the effect of insensitivity of Bernoullian (uncorrelated) RC (or RS) to correlations in its 'adsorption partner'. An exact solution for the regular alternating copolymer adsorption onto the regular alternating surface is obtained.

• 出版日期2012-10-26