Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Archimedes' principle for ideal gas   We prove Archimedes' principle for a macroscopic ball in ideal gas consisting
of point particles with non-zero mass. The main result is an asymptotic
theorem, as the number of point particles goes to infinity and their total mass
remains constant. We also show that, asymptotically, the gas has an exponential
density as a function of height. We find the asymptotic inverse temperature of
the gas. We derive an accurate estimate of the volume of the phase space using
the local central limit theorem.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat