Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Power-Law Spectral Response of CaCu3Ti4O12 Dielectric:
  Many-Body Effects   Spectral character of dielectric response in CaCu3Ti4O12 across 0.5Hz-4MHz
over 45-200K corresponding to neither the Debyean nor the KWW relaxation
patterns rather indicates a random-walk like diffusive dynamics of moments.
Non-linear relaxation here is due to the many body dipole-interactions, as
confirmed by spectral-fits of our measured permittivity to the Dissado-Hill
behaviour. Fractional power-laws observed in {\epsilon}*({\omega})
macroscopically reflect the fractal microscopic configurations. Below ~100K,
the power-law exponent m (n) steeply decreases (increases), indicating finite
length-scale collective response of moment-bearing entities. At higher
temperatures, m gradually approaches 1 and n falls to low values, reflecting
tendency towards the single-particle/Debyean relaxation.

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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: hep-lat