Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two rigidity percolation transitions on binary Bethe networks and the
  intermediate phase in glass   Rigidity Percolation is studied analytically on randomly bonded networks with
two types of nodes, respectively with coordination numbers $z_1$ and $z_2$, and
with $g_1$ and $g_2$ degrees of freedom each. For certain cases that model
chalcogenide glass networks, two transitions, both of first order, are found,
with the first transition usually rather weak. The ensuing intermediate pase,
although is not isostatic in its entirety, has very low self-stress. Our
results suggest a possible mechanism for the appearance of intermediate phases
in glass, that does not depend on a self-organization principle.

20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ