Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear evolution of step meander during growth of a vicinal surface
  with no desorption   Step meandering due to a deterministic morphological instability on vicinal
surfaces during growth is studied. We investigate nonlinear dynamics of a step
model with asymmetric step kinetics, terrace and line diffusion, by means of a
multiscale analysis. We give the detailed derivation of the highly nonlinear
evolution equation on which a brief account has been given [Pierre-Louis et.al.
PRL(98)]. Decomposing the model into driving and relaxational contributions, we
give a profound explanation to the origin of the unusual divergent scaling of
step meander ~ 1/F^{1/2} (where F is the incoming atom flux). A careful
numerical analysis indicates that a cellular structure arises where plateaus
form, as opposed to spike-like structures reported erroneously in Ref.
[Pierre-Louis et.al. PRL(98)]. As a robust feature, the amplitude of these
cells scales as t^{1/2}, regardless of the strength of the Ehrlich-Schwoebel
effect, or the presence of line diffusion. A simple ansatz allows to describe
analytically the asymptotic regime quantitatively. We show also how
sub-dominant terms from multiscale analysis account for the loss of up-down
symmetry of the cellular structure.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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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: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an