Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disorder and denaturation transition in the generalized Poland-Scheraga
  model   We investigate the generalized Poland-Scheraga model, which is used in the
bio-physical literature to model the DNA denaturation transition, in the case
where the two strands are allowed to be non-complementary (and to have
different lengths). The homogeneous model was recently studied from a
mathematical point of view in Giacomin, Khatib (Stoch. Proc. Appl., 2017), via
a $2$-dimensional renewal approach, with a loop exponent $2+\alpha$
(${\alpha>0}$): it was found to undergo a localization/delocalization phase
transition of order $\nu = \min(1,\alpha)^{-1}$, together with -- in general --
other phase transitions. In this paper, we turn to the disordered model, and we
address the question of the influence of disorder on the denaturation phase
transition, that is whether adding an arbitrarily small amount of disorder
(i.e. inhomogeneities) affects the critical properties of this transition. Our
results are consistent with Harris' predictions for $d$-dimensional disordered
systems (here $d=2$). First, we prove that when $\alpha<1$ (i.e. $\nu>d/2$),
then disorder is irrelevant: the quenched and annealed critical points are
equal, and the disordered denaturation phase transition is also of order
$\nu=\alpha^{-1}$. On the other hand, when $\alpha>1$, disorder is relevant: we
prove that the quenched and annealed critical points differ.
  Moreover, we discuss a number of open problems, in particular the smoothing
phenomenon that is expected to enter the game when disorder is relevant.

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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph