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Usatenko, Z. ; Sommer, J.-U.
The influence of long-range correlated surface and near surface disorder on the process of adsorption of long-flexible polymer chains

The influence of long-range correlated surface and decaying near surface disorder with quenched defects is studied. We consider a correlation function for defects of the form e-z/?/ra, where a < d-1, z being the coordinate in the direction perpendicular to the surface, r denotes the distance parallel to the surface. We investigate the process of adsorption of long-flexible polymer chains with excluded volume interactions on inert and attractive walls in the framework of the renormalization group field theoretical approach up to first order of perturbation theory in a double (?, d)-expansion (? = 4-d, d = 3-a) for the semi-infinite |phi|4 O(m, n) model with the above mentioned type of surface and near surface disorder in the limit m, n ? 0. In particular we study two limiting cases. First, we investigate the scenario where the chain's extension is much larger than ?. Second, we consider the case where the chain's extension is of the order of ?. For both cases we obtained series for the bulk and the whole set of surface critical exponents, characterizing the process of adsorption of long-flexible polymer chains at the surface. The polymer linear dimensions parallel and perpendicular to the surface and the corresponding partition functions as well as the behavior of monomer density profiles and the fractions of adsorbed monomers at the surface and in the volume are studied.

Quelle
Journal of Statistical Mechanics: Theory and Experiment , P10006, 1-23

DOI
http://dx.doi.org/10.1088/1742-5468/2007/10/P10006

Erschienen am
October 2007
 
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