Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic phase transition of charged dilaton black holes   Dynamic phase transition of charged dilaton black holes is investigated in
this paper. We introduce the Gibbs free energy landscape and calculate the
corresponding $G_L$ for the dilaton black hole. On the one hand, we numerically
solve the Fokker-Planck equation constrained by only the reflecting boundary
condition. The effects of dilaton gravity on the probabilistic evolution of
dilaton black holes are quite obvious. Firstly, the horizon radius difference
between the large dilaton black hole and small dilaton black hole increases
with the parameter $\alpha$. Secondly, with the increasing of $\alpha$, the
system needs much more time to achieve a stationary distribution. Thirdly, the
value which $\rho(r_l,t)$ and $\rho(r_s,t)$ finally attain varies with the
parameter $\alpha$. On the other hand, resolving Fokker-Planck equation
constrained by both the reflecting boundary condition and absorbing boundary
condition, we investigate the first passage process of dilaton black holes. The
initial peak decays more slowly with the increase of $\alpha$, which can also
be witnessed from the slow down of the decay of $\Sigma(t)$ (the sum of the
probability that the black hole system having not finished a first passage by
time $t$). Moreover, the time corresponding to the single peak of the first
passage time distribution is also found to increase with the parameter
$\alpha$. Considering all the observations mentioned above, the dilaton field
does slow down the dynamic phase transition process between the large black
hole and small black hole.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas