Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Velocity Statistics of the Nagel-Schreckenberg Model   The statistics of velocities in the cellular automaton model of Nagel and
Schreckenberg for traffic are studied. From numerical simulations, we obtain
the probability distribution function (PDF) for vehicle velocities and the
velocity-velocity (vv) correlation function. We identify the probability to
find a standing vehicle as a potential order parameter that signals nicely the
transition between free congested flow for sufficiently large number of
velocity states. Our results for the vv correlation function resemble features
of a second order phase transition. We develop a 3-body approximation that
allows us to relate the PDFs for velocities and headways. Using this relation,
an approximation to the velocity PDF is obtained from the headway PDF observed
in simulations. We find a remarkable agreement between this approximation and
the velocity PDF obtained from simulations.

19
The categories of this paper are: eess
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci