Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Markov Chain Surrogate Model for a Two-Dimensional Interacting
  Particle System with Internal Collisions   A probabilistic Markov Chain (MC) surrogate model for a two-dimensional
system of interacting particles within a square domain having inherent
symmetries is developed. Particles are assumed to be circular and identical,
colliding with each other and with rigid domain walls via perfectly elastic
collisions. Simulation results over many realizations are used to develop and
evaluate the surrogate MC model. The stationary quantity of interest (QoI) is
the number of particles within each of nine coarser subdomains, delineated via
three internal geometric symmetries. The surrogate model is used to quantify
QoI mean properties and uncertainty as the particle radius is varied.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an