Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field theoretical analysis of adsorption of polymer chains at surfaces:
  Critical exponents and Scaling   The process of adsorption on a planar repulsive, "marginal" and attractive
wall of long-flexible polymer chains with excluded volume interactions is
investigated. The performed scaling analysis is based on formal analogy between
the polymer adsorption problem and the equivalent problem of critical phenomena
in the semi-infinite $|\phi|^4$ n-vector model (in the limit $n\to 0$) with a
planar boundary. The whole set of surface critical exponents characterizing the
process of adsorption of long-flexible polymer chains at the surface is
obtained. 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 on the basis 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. The obtained field- theoretical
results at fixed dimensions d=3 are in good agreement with recent Monte Carlo
calculations. Besides, we have performed the scaling analysis of
center-adsorbed star polymer chains with $f$ arms of the same length and we
have obtained the set of critical exponents for such system at fixed d=3
dimensions up to two-loop order.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org