Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An alternative perspective to observe the critical phenomena of dilaton
  AdS black holes   The critical phenomena of dilaton AdS black holes are probed from a totally
different perspective other than the $P-v$ criticality and the $q-U$
criticality discussed in the former literature. We investigate not only the two
point correlation function but also the entanglement entropy of dilaton AdS
black holes. We achieve this goal by solving the equation of motion constrained
by the boundary condition numerically and we concentrate on $\delta L$ and
$\delta S$ which have been regularized by subtracting the terms in pure AdS
with the same boundary region. For both the two point correlation function and
the entanglement entropy, we consider $4\times2\times2=16$ cases due to
different choices of parameters. The van der Waals like behavior can be clearly
witnessed from all the $T-\delta L$ ($T-\delta S$) graphs for $q<q_c$.
Moreover, the effects of dilaton gravity and the spacetime dimensionality on
the phase structure of dilaton AdS black holes are disclosed. Furthermore, we
discuss the stability of dilaton AdS black holes by applying the analogous
specific heat definition and remove the unstable branch by introducing a bar
$T=T_*$. It is shown that the first order phase transition temperature $T_*$ is
affected by both $\alpha$ and $n$. The analogous equal area laws for both the
$T-\delta L$ graph and the $T-\delta S$ graph are examined numerically. The
relative errors for all the cases are small enough that we can safely conclude
that the analogous equal area laws hold for $T-\delta L$ ($T-\delta S$) graph
of dilaton AdS black holes.

34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th