Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impurity-induced shocks in the asymmetric exclusion process with
  long-range hopping   We consider the totally asymmetric simple exclusion process (TASEP) on the
periodic chain in the presence of a single impurity site that is inaccessible
to other particles and therefore acts as a static defect. Particles are allowed
to advance any distance l \geq 1 on the right with the probability that decays
as l^-(1+sigma), where sigma > 1. Despite the long range of hopping, we find
the same type of phase transition that occurs in the standard short-range TASEP
with a defect site where defect induces a macroscopic shock in the stationary
state. In particular, our model displays two main features characteristic of
the short-range TASEP with defect site: a growth of the shock width with system
size L as L^(1/2) or L^(1/3), depending on the existence of the particle-hole
symmetry, and the power-law decay in density profiles of the shock phase.
However, unlike the profiles in the short-range case, we find that the latter
are well reproduced by the mean-field approximation, which enables us to derive
the analytical expression for sigma-dependent exponent nu = sigma-1 of this
power-law decay and the point sigma_c = 4/3 at which the transition takes
place.

37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat