Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary fluctuation dynamics of a phase-separated domain in planar
  geometry   Using theories of phase ordering kinetics and of renormalization group, we
derive analytically the relaxation times of the long wave-length fluctuations
of a phase-separated domain boundary in the vicinity of (and below) the
critical temperature, in the planar Ising universality class. For a conserved
order parameter, the relaxation time grows like $\Lambda^3$ at wave-length
$\Lambda$ and can be expressed in terms of parameters relevant at the
microscopic scale: lattice spacing, bulk diffusion coefficient of the minority
phase, and temperature. These results are supported by numerical simulations of
2D Ising models, enabling in addition to calculate the non-universal numerical
prefactor. We discuss the applications of these findings to the determination
of the time-scale associated with elementary Monte Carlo moves from the
measurement of long wave-length relaxation times on experimental systems or
Molecular Dynamics simulations.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys