Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous Sound Velocity and Dielectric Shift in Glass: a
  Renormalization Technique for Mechanical and Dielectric Susceptibilities from
  Generic Coupled Block Model   Glass sound velocity shift was observed to be longarithmically temperature
dependent in both relaxation and resonance regimes: $\Delta c/c=\mathcal{C}\ln
T$. It does not monotonically increase with temperature from $T=0$K, but to
reach a maximum around a few Kelvin. Different from tunneling-two-level-system
(TTLS) which gives the slope ratio between relaxation and resonance regimes
$\mathcal{C}^{\rm rel }:\mathcal{C}^{\rm res }=-\frac{1}{2}:1$, we develop a
generic coupled block model to give $\mathcal{C}^{\rm rel }:\mathcal{C}^{\rm
res }=-1:1$, which agrees well with the majority of experimental measurements.
We use electric dipole-dipole interaction to carry out a similar behavior for
glass dielectric constant shift $\Delta \epsilon/\epsilon=\mathcal{C}\ln T$.
The slope ratio between relaxation and resonance regimes is $\mathcal{C}^{\rm
rel}:\mathcal{C}^{\rm res}=1:-1$ which agrees with dielectric measurements
quite well. By developing a renormalization procedure for non-elastic
stress-stress and dielectric susceptibilities, we prove these universalities
essentially come from $1/r^3$ long range interactions, independent of
materials' microscopic properties.

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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org