Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparing kinetic Monte Carlo and Thin-Film Modeling of Transversal
  Instabilities of Ridges on Patterned Substrates   We employ kinetic Monte Carlo (KMC) simulations and a thin-film continuum
model to comparatively study the transverse (i.e., Plateau-Rayleigh)
instability of ridges formed by molecules on pre-patterned substrates. It is
demonstrated that the evolution of the occurring instability qualitatively
agrees between the two models for a single ridge as well as for two weakly
interacting ridges. In particular, it is shown for both models that the
instability occurs on well defined length and time scales which are, for the
KMC model, significantly larger than the intrinsic scales of thermodynamic
fluctuations. This is further evidenced by the similarity of dispersion
relations characterising the linear instability modes.

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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol