Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Efficiency of Topological Defect Formation in the Systems of
  Various Size and (Quasi-) Dimensionality   The experiments on verification of the Kibble-Zurek mechanism showed that
topological defects are formed most efficiently in the systems of small size or
low (quasi-)dimensionality, whereas in the macroscopic two- and
three-dimensional samples a concentration of the defects, as a rule, is
strongly suppressed. A reason for universality of such behavior can be revealed
by considering a strongly-nonequilibrium symmetry-breaking phase transition in
the simplest phi-4 field model. It is shown that the resulting distribution of
the defects (domain walls) is formally reduced to the well-known Ising model,
whose behavior changes dramatically in passing from a finite to infinite size
of the system and from the low (D=1) to higher (D>=2) dimensionality.

16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math