Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry breaking transition and appearance of compactons in a
  mechanical system   Recently we have described a mechanical system which exhibits spontaneous
breaking of Z_2 symmetry and related topological kinks called compactons. The
corresponding field potential is not differentiable at its global minima.
Therefore, standard derivation of dispersion relation $\omega(k)$ for small
perturbations around the ground state can not be applied. In the present paper
we obtain the dispersion relation. It turns out that evolution equation remains
nonlinear even for arbitrarily small perturbations. The shape of the resulting
running wave is piecewise combined from cosh functions. We also analyse
dynamics of the symmetry breaking transition. It turns out that the number of
produced compacton-anticompacton pairs strongly depends on the form of initial
perturbation of the unstable former ground state.

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The categories of this paper are: alg-geom
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn