Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jamming of multiple persistent random walkers in arbitrary spatial
  dimension   We consider the persistent exclusion process in which a set of persistent
random walkers interact via hard-core exclusion on a hypercubic lattice in $d$
dimensions. We work within the ballistic regime whereby particles continue to
hop in the same direction over many lattice sites before reorienting. In the
case of two particles, we find the mean first-passage time to a jammed state
where the particles occupy adjacent sites and face each other. This is achieved
within an approximation that amounts to embedding the one-dimensional system in
a higher-dimensional reservoir. Numerical results demonstrate the validity of
this approximation, even for small lattices. The results admit a
straightforward generalisation to dilute systems comprising more than two
particles. A self-consistency condition on the validity of these results
suggest that clusters may form at arbitrarily low densities in the ballistic
regime, in contrast to what has been found in the diffusive limit.

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The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex