Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative hydrodynamic limits of the Langevin dynamics for gradient
  interface models   We study the Langevin dynamics corresponding to the $\nabla\phi$ (or
Ginzburg-Landau) interface model with a uniformly convex interaction potential.
We interpret these Langevin dynamics as a nonlinear parabolic equation forced
by white noise, which turns the problem into a nonlinear homogenization
problem. Using quantitative homogenization methods, we prove a quantitative
hydrodynamic limit, obtain the $C^2$ regularity of the surface tension, prove a
large-scale Lipschitz-type estimate for the trajectories of the dynamics, and
show that the fluctuation-dissipation relation can be seen as a commutativity
of homogenization and linearization. Finally, we explain why we believe our
techniques can be adapted to the setting of degenerate (non-uniformly) convex
interaction potentials.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics