Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamical properties of interacting holographic dark energy model
  with apparent horizon   We have investigated the thermodynamical properties of the universe with dark
energy. It is demonstrated that in a universe with spacial curvature the
natural choice for IR cutoff could be the apparent horizon radius. We shown
that any interaction of pressureless dark matter with holographic dark energy,
whose infrared cutoff is set by the apparent horizon radius, implying a
constant effective equation of state of dark component in a universe. In
addition we found that for the static observer in space, the comoving distance
has a faster expansion than the apparent horizon radius with any spatial
curvature. We also verify that in some conditions the modified first law of
thermodynamics could return to the classic form at apparent horizon for a
universe filled with dark energy and dark matter. Besides, the generalized
second law of thermodynamics is discussed in a region enclosed by the apparent
horizon.

12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th