Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Copolymeric stars adsorbed at a surface and subject to a force: a
  self-avoiding walk model   We consider a model of star copolymers, based on self-avoiding walks, where
the arms of the star can be chemically distinct. The copolymeric star is
attached to an impenetrable surface at a vertex of unit degree and the
different monomers constituting the star have different interaction strengths
with the surface. When the star is adsorbed at the surface it can be desorbed
by applying a force, either at a vertex of degree 1 or at the central vertex of
the star. We give some rigorous results about the free energy of the system and
use these to establish the general form of the phase diagrams, and the orders
of certain phase transitions in the system. We also consider the special case
of spiders, ie stars constrained to have all degree 1 vertices in the surface.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th