Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic behavior of the interface of strip-like structures in driven
  diffusive systems   The dynamic behavior of the interfaces in the standard and random driven
lattice gas models (DLG and RDLG respectively) is investigated via numerical
Monte Carlo simulations in two dimensions. For $T\lesssim T_c$, the average
interface width of the strips ($W$) was measured as a function of the lattice
size and the anisotropic shape factor. It was found that the saturation value
$W^{2}_{sat}$ only depends on the lattice size parallel to the external field
axis $L_y$ and exhibits two distinct regimes: $W^{2}_{sat}\propto \ln$ $L_y$
for low temperatures, that crosses over to $W^{2}_{sat}\propto L_y^{2\alpha_I}$
near the critical zone, $\alpha_I=1/2$ being the roughness exponent of the
interface. By using the relationship $\alpha_I=1/(1+\Delta_I)$, the anisotropic
exponent for the interface of the DLG model was estimated, giving
$\Delta_I\simeq 1$, in agreement with the computed value for anisotropic bulk
exponent $\Delta_B$ with a recently proposed theoretical approach. At the
crossover region between both regimes, we observed indications of bulk
criticality. The time evolution of $W$ at $T_c$ was also monitored and shows
two growing stages: first one observes that $W \propto \ln$ $t$ for several
decades, and in the following times one has $W\propto t^{\beta_I}$, where
$\beta_{I}$ is the dynamic exponent of the interface width. By using this value
we estimated the dynamic critical exponent of the correlation length in the
perpendicular direction to the external field, giving $z_{\perp}^I\approx 4$,
which is consistent with the dynamic exponent of the bulk critical transition
$z_{\perp}^B$ in both theoretical approaches developed for the standard model.
A similar scenario was also observed in the RDLG model, suggesting that both
models may belong to the same universality class.

25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: funct-an