Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Precise determination of the bond percolation thresholds and finite-size
  scaling corrections for the s.c., f.c.c., and b.c.c. lattices   Extensive Monte-Carlo simulations were performed to study bond percolation on
the simple cubic (s.c.), face-centered cubic (f.c.c.), and body-centered cubic
(b.c.c.) lattices, using an epidemic kind of approach. These simulations
provide very precise values of the critical thresholds for each of the
lattices: pc(s.c.) = 0.248 812 6(5), pc(f.c.c.) = 0.120 163 5(10), and
pc(b.c.c.) = 0.180 287 5(10). For p close to pc, the results follow the
expected finite-size and scaling behavior, with values for the Fisher exponent
$tau$ (2.189(2)), the finite-size correction exponent $omega$ (0.64(2)), and
the scaling function exponent $sigma$ (0.445(1)) confirmed to be universal.

34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
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The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys