Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Exponents of the 3-dimensional Blume-Capel model on a cellular
  automaton   The static critical exponents of the three dimensional Blume-Capel model
which has a tricritical point at}$D/J=2.82${\small value are estimated for the
standard and the cooling algorithms which improved from Creutz Cellular
Automaton. The analysis of the data using the finite-size scaling and power law
relations reproduce their well-established values in the}$D/J<3${\small and
}$D/J<2.8${\small parameter region at standard and cooling algorithm,
respectively. For the cooling algorithm at}$D/J=2.8$% {\small value of
single-ion anisotropy parameter, the static critical exponents are estimated
as}$\beta =0.31${\small ,}$\gamma =\gamma ^{\prime}=1.6${\small ,}$\alpha
=\alpha ^{\prime}=0.32${\small and}$\nu =0.87$% {\small . These values are
different from}$\beta =0.31${\small ,}$\gamma =\gamma ^{\prime}=1.25${\small
,}$\alpha =\alpha ^{\prime}=0.12${\small and}$\nu =0.64${\small universal
values. This case indicated that the BC model exhibit an ununiversal critical
behavior at the}$D/J=2.8${\small parameter value near the tricrital
point(}$D/J=2.82${\small). The simulations carried out on a simple cubic
lattice with periodic boundary conditions.

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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin