Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Persistent random walk with exclusion   Modelling the propagation of a pulse in a dense {\em milieu} poses
fundamental challenges at the theoretical and applied levels. To this aim, in
this paper we generalize the telegraph equation to non-ideal conditions by
extending the concept of persistent random walk to account for spatial
exclusion effects. This is achieved by introducing an explicit constraint in
the hopping rates, that weights the occupancy of the target sites. We derive
the mean-field equations, which display nonlinear terms that are important at
high density. We compute the evolution of the mean square displacement (MSD)
for pulses belonging to a specific class of spatially symmetric initial
conditions. The MSD still displays a transition from ballistic to diffusive
behaviour. We derive an analytical formula for the effective velocity of the
ballistic stage, which is shown to depend in a nontrivial fashion upon both the
density (area) and the shape of the initial pulse. After a density-dependent
crossover time, nonlinear terms become negligible and normal diffusive
behaviour is recovered at long times.

21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con