Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hydrodynamic Limit for a type of Exclusion Processes with slow bonds in
  dimension $\ge 2$   Let $\Lambda$ be a connected closed region with smooth boundary contained in
the $d$-dimensional continuous torus $\bb T^d$. In the discrete torus $N^{-1}
\bb T^d_N$, we consider a nearest neighbor symmetric exclusion process where
occupancies of neighboring sites are exchanged at rates depending on $\Lambda$
in the following way: if both sites are in $\Lambda$ or $\Lambda^\complement$,
the exchange rate is one; If one site is in $\Lambda$ and the other one is in
$\Lambda^\complement$ and the direction of the bond connecting the sites is
$e_j$, then the exchange rate is defined as $N^{-1}$ times the absolute value
of the inner product between $e_j$ and the normal exterior vector to
$\p\Lambda$. We show that this exclusion type process has a non-trivial
hydrodynamical behavior under diffusive scaling and, in the continuum limit,
particles are not blocked or reflected by $\partial\Lambda$. Thus the model
represents a system of particles under hard core interaction in the presence of
a permeable membrane which slows down the passage of particles between two
complementar regions.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom