Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium quasi-long-range order of driven random field O(N) model   We investigate three-dimensional O(N) spin models driven with a uniform
velocity over a random field. Within a spin-wave approximation, it is shown
that in the strong driving regime the model with N=2 exhibits a
quasi-long-range order in which the spatial correlation function decays in a
power-law form. Furthermore, for the cases that N=2 and 3, we numerically
demonstrate a non-equilibrium phase transition between the quasi-long-range
order phase and the disordered phase, which turns out to resemble the
Kosterlitz-Thouless transition in the two-dimensional pure XY model in
equilibrium.

31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph