Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic model for spreading of a two-dimensional monolayer   We study the behavior of a monolayer, which occupies initially a bounded
region on an ideal crystalline surface and then evolves in time due to random
hopping motion of the monolayer particles. In the case when the initially
occupied region is the half-plane $X \leq 0$, we determine explicitly, in terms
of an analytically solvable mean-field-type approximation, the mean
displacement $X(t)$ of the monolayer edge. We find that $X(t) \approx A
\sqrt{D_{0} t}$, in which law $D_{0}$ denotes the bare diffusion coefficient
and the prefactor $A$ is a function of the temperature and of the
particle-particle interactions parameters. We show that $A$ can be greater,
equal or less than zero, and specify the critical parameter which distinguishes
between the regimes of spreading ($A > 0)$, partial wetting ($A = 0$) and
dewetting ($A < 0$).

2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio