Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Similarity of percolation thresholds on the hcp and fcc lattices   Extensive Monte-Carlo simulations were performed in order to determine the
precise values of the critical thresholds for site ($p^{hcp}_{c,S} = 0.199 255
5 \pm 0.000 001 0$) and bond ($p^{hcp}_{c,B} = 0.120 164 0 \pm 0.000 001 0$)
percolation on the hcp lattice to compare with previous precise measuremens on
the fcc lattice. Also, exact enumeration of the hcp and fcc lattices was
performed and yielded generating functions and series for the zeroth, first,
and second moments of both lattices. When these series and the values of $p_c$
are compared to those for the fcc lattice, it is apparent that the site
percolation thresholds are different; however, the bond percolation thresholds
are equal within error bars, and the series only differ slightly in the higher
order terms, suggesting the actual values are very close to each other, if not
identical.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol