**ABSTRACT**

Frau
Dr. Zoriana Usatenko

The
process of adsorption of long-flexible polymer chains on an attractive,
"marginal" and repulsive wall in the pure medium and in the medium with
different kinds of surface and bulk disorder is investigated. Based on
formal analogy of the polymer adsorption problem to the equivalent
problem of critical phenomena in the semi-infinite |phi|^4 n-vector
model of a magnet with a free surface we perform investigation in the
framework of renormalization group field theoretical approach directly
in d = 3 dimensions up to two-loop order for the semi-infinite |phi|^4
n-vector
model in the limit n -> 0 (the case of pure medium without disorder)
and up to first order of perturbation theory in a double
(epsilon,delta)- expansion (epsilon
= 4-d, delta = 3-a) for
the semi-infinite |phi|^4 O(m;
n) model with different types of surface and bulk disorder in the limit
m; n -> 0. We perform the Pade and Pade-Borel resummation of the
obtained series for the 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 fraction of adsorbed monomers at the
surface and in the interior are studied. The obtained field-theoretical
results at fixed dimensions d = 3 are in good agreement with recent
Monte Carlo calculations for pure systems without disorder.

Frau Dr. Zoriana Usatenko,

Leibniz Institute of Polymer Research Dresden e.V.,

01069 Dresden, Germany

Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine,

UA 79011 Lviv, Ukraine

Marian Smoluchowski Institute of Physics, Jagellonian University, Department of Statistical Physics,

Reymonta 4, Krakow, Poland