Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Physics of Synchronized Traffic Flow: Spatiotemporal
  Competition between S$\to$F and S$\to$J Instabilities   We have revealed statistical physics of synchronized traffic flow that is
governed by a spatiotemporal competition between S$\rightarrow$F and
S$\rightarrow$J instabilities (where F, S, and J denote, respectively, the free
flow, synchronized flow, and wide moving jam traffic phases). A probabilistic
analysis of synchronized flow based on simulations of a cellular automaton
model in the framework of three-phase traffic theory is made. This
probabilistic analysis shows that there is a finite range of the initial
space-gap between vehicles in synchronized flow within which during a chosen
time for traffic observation either synchronized flow persists with probability
$P_{\rm S}$, or an S$\rightarrow$F transition occurs with probability $P_{\rm
SF}$, or else an S$\rightarrow$J transition occurs with probability $P_{\rm
SJ}$. Space-gap dependencies of the probabilities $P_{\rm S}$, $P_{\rm SF}$,
and $P_{\rm SJ}$ have been found. The statistical features of synchronized flow
found for a homogeneous road remain qualitatively for a road with a bottleneck.
However, rather than nuclei for S$\rightarrow$F and S$\rightarrow$J
instabilities occur at random road locations of the homogeneous road, due to a
permanent non-homogeneity introduced by the bottleneck, nuclei for initial
S$\rightarrow$F and S$\rightarrow$J instabilities appear mostly at the
bottleneck.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math