Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amorphous state in the mixed phase of quark-hadron phase transition in
  protoneutron stars   We study the hadron-quark mixed phase in protoneutron stars, where neutrinos
are trapped and lepton number becomes a conserved quantity besides the baryon
number and electric charge. Considering protoneutron-star matter as a ternary
system, the Gibbs conditions are applied together with the Coulomb interaction.
We find that there no crystalline ("pasta") structure appears in the regime of
high lepton-number fraction; the size of pasta becomes very large and the
geometrical structure becomes mechanically unstable due to the charge screening
effect. Consequently the whole system is separated into two bulk regions like
an amorphous state, where the surface effect is safely neglected. There, the
local charge neutrality is approximately attained, so that the equation of
state is effectively reduced to the one for a binary system. Hence, we conclude
that there is no possibility for the density discontinuity to appear in
protoneutron-star matter, which is a specific feature in a pure system. These
features are important when considering astrophysical phenomena such as
supernova explosions or radiation of the gravitational wave from protoneutron
stars.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph