Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation properties of non-ideal gas   We estimate locations of the regions of the percolation and of the
non-percolation in the plane $(\lambda,\beta)$: the Poisson rate -- the inverse
temperature, for interacted particle systems in finite dimension Euclidean
spaces. Our results about the percolation and about the non-percolation are
obtained under different assumptions. The intersection of two groups of the
assumptions reduces the results to two dimension Euclidean space, $\R^2$, and
to a potential function of the interactions having a hard core.
  The technics for the percolation proof is based on a contour method which is
applied to a discretization of the Euclidean space. The technics for the
non-percolation proof is based on the coupling of the Gibbs field with a
branching process.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph