Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A dynamic one-dimensional interface interacting with a wall   We study a symmetric randomly moving line interacting by exclusion with a
wall. We show that the expectation of the position of the line at the origin
when it starts attached to the wall satisfies the following bounds: c_1t^{1/4}
\le\E\xi_t(0) \le c_2 t^{1/4}\log t The result is obtained by comparison with a
``free'' process, a random line that has the same behavior but does not see the
wall. The free process is isomorphic to the symmetric nearest neigbor
one-dimensional simple exclusion process. The height at the origin in the
interface model corresponds to the integrated flux of particles through the
origin in the simple exclusion process. We compute explicitly the asymptotic
variance of the flux and show that the probability that this flux exceeds
Kt^{1/4}\log t is bounded above by const. t^{2-K}. We have also performed
numerical simulations, which indicate \E\xi_t(0)^2 \sim t^{1/2}\log t as
t\to\infty.

0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom