Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vibrations of a one-dimensional host-guest system   A simple model shows how it is possible to create a gap in the vibrational
spectrum of a one-dimensional lattice. The proposed model is a host-guest chain
having, instead of point-like masses connected by spring, massive cages hosting
particles inside. We imagine the cage as a rigid box containing a mass linked
by a spring to the box inner wall. The presence of guests creates an energy gap
in the dispersion of vibrational frequencies. The gap is about the internal
resonance of the mass hidden in the cage.

25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
19
The categories of this paper are: eess