Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusive Evolution of Stable and Metastable Phases I: Local Dynamics of
  Interfaces   We find analytical solutions to the Cahn-Hilliard equation for the dynamics
of an interface in a system with a conserved order parameter (Model B). We show
that, although steady-state solutions of Model B are unphysical in the
far-field, they shed light on the local dynamics of an interface. Exact
solutions are given for a particular class of order-parameter potentials, and
an expandable integral equation is derived for the general case. As well as
revealing some generic properties of interfaces moving under condensation or
evaporation, the formalism is used to investigate two distinct modes of
interface propagation in systems with a metastable potential well. Given a
sufficient transient increase in the flux of material onto a condensation
nucleus, the normal motion of the interface can be disrupted by interfacial
unbinding, leading to growth of a macroscopic amount of a metastable phase.

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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga