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Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 3: Critical phenomena and phase transitions

DY 3.4: Vortrag

Montag, 26. März 2007, 12:45–13:00, H2

Influence of long-range correlated surface and near the surface disorder on the process of adsorption of long-flexible polymer chains — •Zoryana Usatenko1,2 and Jens-Uwe Sommer1,31Institute of Polymer Research Dresden,01069 Dresden, Germany — 2Institute for Condensed Matter Physics, NASU, 79011 Lviv, Ukraine — 3Institute for Theoretical Physics, Technische Universitat Dresden, 01062 Dresden, Germany

The influence of long-range correlated surface and decaying near surface disorder with correlation function for the defects of the form ez/ra , where a<d−1 and z being the coordinate in the direction perpendicular to the surface and r denotes the distance parallel to the surface. We investigate the process of adsorption of long-flexible polymer chains with excluded volume interactions on a "marginal" and attractive wall in the framework of renormalization group field theoretical approach up to first order of perturbation theory in a double(є,δ)- expansion (є=4−d,δ=3−a) for the semi-infinite |φ|4 O(m,n) model with the above mentioned type of surface and near the surface disorder in the limit m,n→ 0. We obtained series for 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 behavior of monomer density profiles and the fraction of adsorbed monomers at the surface and in the interior are studied.

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