Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.67: Poster
Donnerstag, 30. März 2006, 16:00–18:00, P1
Adsorption of random correlated copolymer: the Morita approximation — •Alexey Polotsky1,2, Andreas Degenhard1, and Friederike Schmid1 — 1Fakultät für Physik, Universität Bielefeld, Universitätsstraße 25, D-33615 Bielefeld, Germany — 2Sérvice de Physique de l’Etat Condensé CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France
A single ideal random copolymer chain with correlations in the monomer sequence, which adsorbs onto an impenetrable planar surface, is considered within a lattice model. The average over the quenched disorder is approximated by a constrained annealed approximation introduced by T. Morita in 1964 [1], whereas the sum over polymer conformations is carried out with the help of the generating function technique (in the grand canonical ensemble). With this combined approach, different conformational characteristics of the adsorbed chain are obtained. These calculations are also supplemented with direct numerical lattice computations averaged over many realisations of random sequence with the given statistics. The comparison of the results obtained in two different ways allows us to make a conclusion about the accuracy and applicability of the Morita approximation for the random copolymers with different degree of correlations and different types of nonadsorbing monomers (neutral or repelling from the surface).
[1] T. Morita. J. Math. Phys. 5, 1401, (1964)