Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized model of blockage in particulate flow limited by channel
  carrying capacity   We investigate stochastic models of particles entering a channel with a
random time distribution. When the number of particles present in the channel
exceeds a critical value $N$, a blockage occurs and the particle flux is
definitively interrupted. By introducing an integral representation of the $n$
particle survival probabilities, we obtain exact expressions for the survival
probability, the distribution of the number of particles that pass before
failure, the instantaneous flux of exiting particle and their time correlation.
We generalize previous results for $N=2$ to an arbitrary distribution of entry
times and obtain new, exact solutions for $N=3$ for a Poisson distribution and
partial results for $N\ge 4$.

14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol