Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long route to consensus: Two stage coarsening in a binary choice voting
  model   Formation of consensus, in binary yes/no type of voting, is a well defined
process. However, even in presence of clear incentives, the dynamics involved
can be incredibly complex. Specifically, formations of large groups of
similarly opinionated individuals could create a condition of `support-bubbles'
or spontaneous polarization that renders consensus virtually unattainable
(e.g., the question of the UK exiting the EU). There have been earlier attempts
in capturing the dynamics of consensus formation in societies through simple
$Z_2$-symmetric models hoping to capture the essential dynamics of average
behaviorof a large number of individuals in a statistical sense. However, in
absence of external noise, they tend to reach a frozen state with fragmented
and polarized states i.e., two or more groups of similarly opinionated groups
with frozen dynamics. Here we show in a kinetic exchange opinion model (KEM)
considered on $L \times L$ square lattices, that while such frozen states could
be avoided, an exponentially slow approach to consensus is manifested.
Specifically, the system could either reach consensus in a time that scales as
$L^2$ or a long lived metastable state (termed a domain-wall state) for which
formation of consensus takes a time scaling as $L^{3.6}$. The latter behavior
is comparable to some voter-like models with intermediate states studied
previously. The late-time anomaly in the time scale is reflected in the
persistence probability of the model. Finally, the interval of zero-crossing of
the average opinion i.e., the time interval over which the average opinion does
not change sign is shown to follow a scale free distribution, which is compared
with that seen in the opinion surveys regarding Brexit and associated issues in
the last 40 years. The issue of minority spreading is also addressed by
calculating the exit probability.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph