Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the asymmetric simple exclusion process with multiple species   In the asymmetric simple exclusion process on the integers each particle
waits exponential time, then with probability p it moves one step to the right
if the site is unoccupied, otherwise it stays put; and with probability q=1-p
it moves one step to the left if the site is unoccupied, otherwise it stays
put. In previous work the authors, using the Bethe Ansatz, found for N-particle
ASEP a formula --- a sum of multiple integrals --- for the probability that a
system is in a particular configuration at time t given an initial
configuration. The present work extends this to the case where particles are of
different species, with particles of a higher species having priority over
those of a lower species. Here the integrands in the multiple integrals are
defined by a system of relations whose consistency requires verifying that the
Yang-Baxter equations are satisfied.

25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th