Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phonon-mediated thermal conductance of mesoscopic wires with rough edges   We present an analysis of acoustic phonon propagation through long,
free-standing, insulating wires with rough surfaces. Due to a crossover from
ballistic propagation of the lowest-frequency phonon mode at $\omega <\omega
_{1}=\pi c/W$ to a diffusive (or even localized) behavior upon the increase of
phonon frequency, followed by re-entrance into the quasi-ballistic regime, the
heat conductance of a wire acquires an intermediate tendency to saturate within
the temperature range $T\sim \hbar \omega_{1}/k_{B}$.

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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex