Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transport properties and phase diagram of the disordered lattice
  vibration model   We study the transport and localization properties of scalar vibrations on a
lattice with random bond strength by means of the transfer matrix method. This
model has been recently suggested as a means to investigate the vibrations and
heat conduction properties of structural glasses. In three dimensions we find a
very rich phase diagram. The delocalization transition is split, so that
between the localized and diffusive phases which have been identified in the
Anderson problem, we observe a phase with anomalous, sub-exponential
localization. For low frequencies, we find a strongly conducting phase with
ballistic and super-diffusive transport, reflecting a diverging diffusivity.
The last phase generates an anomalous heat conductivity which grows with the
system size. These phases are the counterparts of those identified in an
earlier study of the normal modes.

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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat