Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-wavelength deformations and vibrational modes in empty and
  liquid-filled microtubules and nanotubes: A theoretical study   We propose a continuum model to predict long-wavelength vibrational modes of
empty and liquid-filled tubules that are very hard to reproduce using the
conventional force-constant matrix approach based on atomistic ab initio
calculation. We derive simple quantitative expressions for long-wavelength
longitudinal and torsional acoustic modes, flexural acoustic modes, as well as
the radial breathing mode of empty or liquid-filled tubular structures that are
based on continuum elasticity theory expressions for a thin elastic plate. We
furthermore show that longitudinal and flexural acoustic modes of tubules are
well described by those of an elastic beam resembling a nanowire. Our numerical
results for biological microtubules and carbon nanotubes agree with available
experimental data.

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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn