Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact equation for classical many-particle systems in closed form: from
  mechanics to statistical thermodynamics   The exact equations of motion for microscopic density of classical particles
number with account of inter-particle interactions and external field in closed
form are derived. An integral equation for equilibrium distributions of the
particles is deduced. No statistical or probabilistic hypotheses and assumption
in these deductions have been used. Some well known results of equilibrium
statistical mechanics are deduced from the obtained equations as simple
limiting cases. The wave equation for almost homogeneous systems with
inter-particle interactions are obtained. Connection between inter-particle
potential and dispersion law of sound is established.
  Keywords: Many-body systems dynamics; inter-atomic potentials; phase
equilibrium
  PACS 05.20.-y; 05.10.-a; 05.70.Ln

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex