Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enhanced interface repulsion from quenched hard-wall randomness   We consider the harmonic crystal on the d-dimensional lattice, d larger or
equal to 3, that is the centered Gaussian field $\phi$ with covariance given by
the Green function of the simple random walk on $Z^d$. Our main aim is to
obtain quantitative information on the repulsion phenomenon that arises when we
condition the field to be larger than an IID field $\sigma$ (which is also
independent of $\phi$), for every x in a large region $D_N=ND\cap \Z^d$, with N
a positive integer and $D \subset\R^d$. We are mostly motivated by results for
given typical realizations of the $\sigma$ (quenched set-up), since the
conditioned harmonic crystal may be seen as a model for an equilibrium
interface, constrained not to go below a inhomogeneous substrate that acts as a
hard wall. We consider various types of substrate and we observe that the
interface is pushed away from the wall much more than in the case of a flat
wall as soon as the upward tail of $\sigma$ is heavier than Gaussian, while
essentially no effect is observed if the tail is sub--Gaussian. In the critical
case, that is the one of approximately Gaussian tail, the interplay of the two
sources of randomness, $\phi$ and $\sigma$, leads to an enhanced repulsion
effect of additive type.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs