Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Opinion dynamics in two dimensions: domain coarsening leads to stable
  bi-polarization and anomalous scaling exponents   We study an opinion dynamics model that explores the competition between
persuasion and compromise in a population of agents with nearest-neighbor
interactions on a two-dimensional square lattice. Each agent can hold either a
positive or a negative opinion orientation, and can have two levels of
intensity --moderate and extremist. When two interacting agents have the same
orientation become extremists with persuasion probability $p$, while if they
have opposite orientations become moderate with compromise probability $q$.
These updating rules lead to the formation of same-opinion domains with a
coarsening dynamics that depends on the ratio $r=p/q$. The population initially
evolves to a centralized state for small $r$, where domains are composed by
moderate agents and coarsening is without surface tension, and to a
bi-polarized state for large $r$, where domains are formed by extremist agents
and coarsening is driven by curvature. Consensus in an extreme opinion is
finally reached in a time that scales with the population size $N$ and $r$ as
$\tau \simeq r^{-1} \ln N$ for small $r$ and as $\tau \sim r^2 N^{1.64}$ for
large $r$. Bi-polarization could be quite stable when the system falls into a
striped state where agents organize into single-opinion horizontal, vertical or
diagonal bands. An analysis of the stripes dynamics towards consensus allows to
obtain an approximate expression for $\tau$ which shows that the exponent
$1.64$ is a result of the diffusion of the stripe interfaces combined with
their roughness properties.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: stat