Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explosive site percolation with a product rule   We study the site percolation under Achlioptas process (AP) with a product
rule in a $2-dimensional$ (2D) square lattice. From the measurement of the
cluster size distribution, $P_s$, we find that $P_s$ has a very robust
power-law regime followed by a stable hump near the transition threshold. Based
on the careful analysis on the $P_s$ distribution, we show that the transition
should be discontinuous. The existence of the hysteresis loop in order
parameter also verifies that the transition is discontinuous in 2D. Moreover we
also show that the transition nature from the product rule is not the same as
that from a sum rule in 2D.

22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ