Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scale coupling and interface pinning effects in the phase-field-crystal
  model   Effects of scale coupling between mesoscopic slowly-varying envelopes of
liquid-solid profile and the underlying microscopic crystalline structure are
studied in the phase-field-crystal (PFC) model. Such scale coupling leads to
nonadiabatic corrections to the PFC amplitude equations, the effect of which
increases strongly with decreasing system temperature below the melting point.
This nonadiabatic amplitude representation is further coarse-grained for the
derivation of effective sharp-interface equations of motion in the limit of
small but finite interface thickness. We identify a generalized form of the
Gibbs-Thomson relation with the incorporation of coupling and pinning effects
of the crystalline lattice structure. This generalized interface equation can
be reduced to the form of a driven sine-Gordon equation with KPZ nonlinearity,
and be combined with other two dynamic equations in the sharp interface limit
obeying the conservation condition of atomic number density in a liquid-solid
system. A sample application to the study of crystal layer growth is given, and
the corresponding analytic solutions showing lattice pinning and depinning
effects and two distinct modes of continuous vs. nucleated growth are
presented. We also identify the universal scaling behaviors governing the
properties of pinning strength, surface tension, interface kinetic coefficient,
and activation energy of atomic layer growth, which accommodate all range of
liquid-solid interface thickness and different material elastic modulus.

34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc