Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical phenomena in disc-percolation model and its application to
  relativistic heavy ion collisions   Through studying the critical phenomena in continuum-percolation of discs, we
find a new approach to locate the critical point, i.e. using the inflection
point of $P_\infty$ as an evaluation of the percolation threshold. The
susceptibility, defined as the derivative of $P_\infty$, possess finite-size
scaling property, where the scaling exponent is the reciprocal of $\nu$ -- the
critical exponent of correlation length. The possible application of this
approach to the study of the critical phenomena in relativistic heavy ion
collisions is discussed. The critical point for deconfinement can be extracted
by the inflection point of $P_{\rm QGP}$ -- the probability for the event with
QGP formation. The finite-size scaling of its derivative can give the critical
exponent $\nu$, which is a rare case that can provide an experimental measure
of a critical exponent in heavy ion collisions.

9
The categories of this paper are: nlin
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph