Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two extensions of exact non-equilibrium steady states of a boundary
  driven cellular automaton   Recently Prosen and Mej\'ia-Monasterio (J. Phys. A: Math. Theor. 49 (2016)
185003) obtained exact nonequilibrium steady states of an integrable and
reversible cellular automaton driven by some stochastic boundary conditions. In
this paper, we explore the possible extensions of their method by generalizing
the boundary conditions. As the result, we find two cases where such an
extension is possible. One is the case where a special condition is satisfied
in a generalized boundary condition. The other is obtained by considering a
conserved quantity as energy and boundaries as heat reservoirs. The latter
includes the original solution as the special case. Properties of the both
solutions are discussed.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th