Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explosive percolation on scale-free multifractal weighted planar
  stochastic lattice   In this article, we investigate explosive bond percolation (EBP) with product
rule, formally known as Achlioptas process, on a scale-free multifractal
weighted planar stochastic lattice (WPSL). One of the key features of the EBP
transition is the delay, compared to corresponding random bond percolation
(RBP), in the onset of spanning cluster. However, when it happens, it happens
so dramatically that initially it was believed, albeit ultimately proved wrong,
that explosive percolation (EP) exhibits first order transition. In the case of
EP, much efforts were devoted to resolving the issue of its order of transition
and almost no effort being devoted to find critical point, critical exponents
etc., to classify it into universality classes. This is in sharp contrast to
the classical random percolation. We do not even know all the exponents of EP
for regular planar lattice or for Erd\"{o}s-Renyi network. We first find
numerically the critical point $p_c$ and then obtain all the critical exponents
$\beta, \gamma, \nu$ as well as the Fisher exponent $\tau$ and the fractal
dimension $d_f$ of the spanning cluster. We also compare our results for EBP
with those of the RBP and find that all the exponents of EBP obeys the same
scaling relations as do the RBP. Our findings suggests that EBP is no special
except the fact that the exponent $\beta$ is unusually small compared to that
of RBP.

33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom