Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct evidence of rigidity loss and self-organisation in silicate
  glasses   The Brillouin elastic free energy change $DF$ between thermally annealed and
quenched $(Na_2O)_x(SiO_2)_{1-x}$ glasses is found to decrease linearly at $x >
0.23$ (floppy phase), and to nearly vanish at $x < 0.18$
  (stressed- rigid phase). The observed $D F(x)$ variation closely parallels
the mean-field floppy mode fraction $f(x)$ in random networks, and fixes the
two (floppy, stressed-rigid) elastic phases. In calorimetric measurements, the
non-reversing enthalpy near $T_g$ is found to be large at $x < 0.18$ and at $x
> 0.23$, but to nearly vanish in the $0.18 < x < 0.23$ range, suggesting
existence of an intermediate phase between the floppy and stressed-rigid
phases.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin