Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical percolation in the slow cooling of the bi-dimensional
  ferromagnetic Ising model   We show that the equilibrium interfaces in the disordered phase have critical
percolation fractal dimension over a wide range of length scales. We confirm
that the system falls out of equilibrium at a temperature that depends on the
cooling rate as predicted by the Kibble-Zurek argument and we prove that the
dynamic growing length once the cooling reaches the critical point satisfies
the same scaling. We determine the dynamic scaling properties of the interface
winding angle variance and we show that the crossover between critical Ising
and critical percolation properties is determined by the growing length reached
when the system fell out of equilibrium.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
16
The categories of this paper are: stat
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess