Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonequilibrium stationary states with Gibbs measure for two or three
  species of interacting particles   We construct explicit examples of one-dimensional driven diffusive systems
for two and three species of interacting particles, defined by asymmetric
dynamical rules which do not obey detailed balance, but whose nonequilibrium
stationary-state measure coincides with a prescribed equilibrium Gibbs measure.
For simplicity, the measures considered in this construction only involve
nearest-neighbor interactions. For two species, the dynamics thus obtained
generically has five free parameters, and does not obey pairwise balance in
general. The latter property is satisfied only by the totally asymmetric
dynamics and the partially asymmetric dynamics with uniform bias, i.e., the
cases originally considered by Katz, Lebowitz, and Spohn. For three species of
interacting particles, with nearest-neighbor interactions between particles of
the same species, the totally asymmetric dynamics thus obtained has two free
parameters, and obeys pairwise balance. These models are put in perspective
with other examples of driven diffusive systems. The emerging picture is that
asymmetric (nonequilibrium) stochastic dynamics leading to a given
stationary-state measure are far more constrained (in terms of numbers of free
parameters) than the corresponding symmetric (equilibrium) dynamics.

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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th