Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinetics of Macrostep Under Diffusion and Thermal Interactions in
  Stagnant Media   The step motions considered are those in which crystallization is controlled
by a single diffusion process, either the substance diffusion for growth from
solution or the flow of latent heat from the step for growth from melt.
Quasi-static diffusion nearby two parallel steps and nearby a train of parallel
steps is considered. Terraces and step risers are assumed flat with arbitrary
angles between them. Flux of the crystallizing substance to the crystal or the
heat sources on the crystal surface are nonvanishing on the step risers only.
Kinematics of the steps under the diffusion interaction is investigated, when
velocities of the steps are controlled by the supersaturation at the feet of
the steps. For the solution growth it is shown that an equidistant train of
steps is unstable against to doubling of period, i.e. neighbouring steps are
attracted, when the angle of the riser is more than $\pi/3$. The diffusion
interaction stabilizes the train of gently sloping steps. For the melt growth
at equal thermal conductivities of the crystal and of the melt, the thermal
interaction stabilizes the train of steps without overhanging when the riser
angle is less than $\pi/2$. If the heat transfers through the crystals, then
the equidistant train is stable at all riser angles.

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The categories of this paper are: comp-gas
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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: alg-geom
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The categories of this paper are: quant-ph
16
The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat