Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bose-Einstein Condensation of Quantum Hard-Spheres as a Deposition Phase
  Transition and New Relations Between Bosonic and Fermionic Pressures   We investigate the phase transition of Bose-Einstein particles with the
hard-core repulsion in the grand canonical ensemble within the Van der Waals
approximation. It is shown that the pressure of non-relativistic Bose-Einstein
particles is mathematically equivalent to the pressure of simplified version of
the statistical multifragmentation model of nuclei with the vanishing surface
tension coefficient and the Fisher exponent $\tau_F = \frac{5}{2}$, which for
such parameters has the 1-st order phase transition. The found similarity of
these equations of state allows us to show that within the present approach the
high density phase of Bose-Einstein particles is a classical macro-cluster with
vanishing entropy at any temperature which, similarly to the classical hard
spheres, is a kind of solid state. To show this we establish new relations
which allow us to identically represent the pressure of Fermi-Dirac particles
in terms of pressures of Bose-Einstein particles of two sorts.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs