Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crossover Scaling of Wavelength Selection in Directional Solidification
  of Binary Alloys   We simulate dendritic growth in directional solidification in dilute binary
alloys using a phase-field model solved with an adaptive-mesh refinement. The
spacing of primary branches is examined for a range of thermal gradients and
alloy compositions and is found to undergo a maximum as a function of pulling
velocity, in agreement with experimental observations. We demonstrate that
wavelength selection is unambiguously described by a non-trivial crossover
scaling function from the emergence of cellular growth to the onset of
dendritic fingers, a result validated using published experimental data.

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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: math
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex