Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface transition in the collapsed phase of a self-interacting walk
  adsorbed along a hard wall   The present paper is dedicated to the 2-dimensional Interacting Partially
Directed Self Avoiding Walk constrained to remain in the upper-half plan and
interacting with the horizontal axis. The model has been introduced in
\cite{F90} to investigate the behavior of a homopolymer dipped in a poor
solvent and adsorbed along a horizontal hard wall. It is known to undergo a
collapse transition between an extended phase, inside which typical
configurations of the polymer have a large horizontal extension (comparable to
their total size), and a collapsed phase inside which the polymer looks like a
globule.
  In the present paper, we establish rigorously that inside the collapsed
phase, a surface transition occurs between an adsorbed-collapsed regime where
the bottommost layer of the globule is pinned at the hard wall, and a
desorbed-collapsed regime where the globule wanders away from the wall. To
prove the existence of this surface transition and exhibit its associated
critical curve, we display some sharp asymptotics of the partition function for
a slightly simplified version of the model.

26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess