Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermal Capillary Wave Growth and Surface Roughening of Nanoscale Liquid
  Films   The well-known thermal capillary wave theory, which describes the capillary
spectrum of the free surface of a liquid film, does not reveal the transient
dynamics of surface waves, e.g., the process through which a smooth surface
becomes rough. Here, a Langevin model is proposed that can capture these
dynamics, goes beyond the long-wave paradigm which can be inaccurate at the
nanoscale, and is validated using molecular dynamics simulations for nanoscale
films on both planar and cylindrical substrates. We show that a scaling
relation exists for surface roughening of a planar film and the scaling
exponents belong to a specific universality class. The capillary spectra of
planar films are found to advance towards a static spectrum, with the roughness
of the surface $W$ increasing as a power law of time $W\sim t^{1/8}$ before
saturation. However, the spectra of an annular film (with outer radius $h_0$)
are unbounded for dimensionless wavenumber $qh_0<1$ due to the Rayleigh-Plateau
instability.

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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org