Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gibbs free energy and Helmholtz free energy for a three-dimensional
  Ising-like model   The critical behavior of a 3D Ising-like system is studied at the microscopic
level of consideration. The free energy of ordering is calculated analytically
as an explicit function of temperature, an external field and the initial
parameters of the model. Within a unified approach, both Gibbs and Helmholtz
free energies are obtained and the dependencies of them on the external field
and the order parameter, respectively, are presented graphically. The regions
of stability, metastability, and unstability are established on the order
parameter-temperature plane. The way of implementation of the well-known
Maxwell construction is proposed at microscopic level.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th