Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spontaneous ordering against an external field in nonequilibrium systems   We study the collective behavior of nonequilibrium systems subject to an
external field with a dynamics characterized by the existence of
non-interacting states. Aiming at exploring the generality of the results, we
consider two types of models according to the nature of their state variables:
(i) a vector model, where interactions are proportional to the overlap between
the states, and (ii) a scalar model, where interaction depends on the distance
between states. In both cases the system displays three phases: two ordered
phases, one parallel to the field, and another orthogonal to the field; and a
disordered phase. The phase space is numerically characterized for each model
in a fully connected network. By placing the particles on a small-world
network, we show that, while a regular lattice favors the alignment with the
field, the presence of long-range interactions promotes the formation of the
ordered phase orthogonal to the field.

29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci