Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On models to describe the volume in the context of establishing high
  pressure Gibbs energy databases   High pressure Gibbs energy approaches are promising for establishing
multi-component thermodynamic databases. However, so far, they have been
considered unsuccessful, because of their tendency to lead to unphysical
extrapolations of the thermodynamic properties at elevated temperatures and
pressures. Beyond this symptom, the root causes of the problem are rarely
investigated. In this work, it is identified that these shortcomings are caused
by (i) an inconsistent treatment of the SGTE method of extrapolation, and (ii)
an insufficient knowledge of the models to describe the volume that are the key
to extend CALPHAD databases toward high pressures. Because the first step
toward solving the problem is to focus on the later issue, several models to
describe the volume that are built upon the Grover empirical law are
investigated, namely, the Lu-Grover, Joubert-Lu-Grover, Jacobs-Grover, and the
Anand-Saxena-Grover approaches. In addition, an original description built upon
the concept of thermal pressure, and a new scheme based on the equivalence
between temperature and pressure when computing the volume are discussed. For
each of these models, limitations and possibilities are identified from a
practical standpoint.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg