Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spiraling eutectic dendrites   Eutectic dendrites forming in a model ternary system have been studied using
the phase-field theory. The eutectic and one-phase dendrites have similar
forms, and the tip radius scales with the interface free energy as for
one-phase dendrites. The steady-state eutectic patterns appearing on these
two-phase dendrites include concentric rings, and single- to multiarm spirals,
of which the fluctuations choose, a stochastic phenomenon characterized by a
peaked probability distribution. The number of spiral arms correlates with tip
radius and the kinetic anisotropy.

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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
25
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: math-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int