Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical phenomena of nonequilibrium dynamical systems with two
  absorbing states   We study nonequilibrium dynamical models with two absorbing states:
interacting monomer-dimer models, probabilistic cellular automata models,
nonequilibrium kinetic Ising models. These models exhibit a continuous phase
transition from an active phase into an absorbing phase which belongs to the
universality class of the models with the parity conservation. However, when we
break the symmetry between the absorbing states by introducing a
symmetry-breaking field, Monte Carlo simulations show that the system goes back
to the conventional directed percolation universality class. In terms of domain
wall language, the parity conservation is not affected by the presence of the
symmetry-breaking field. So the symmetry between the absorbing states rather
than the conservation laws plays an essential role in determining the
universality class. We also perform Monte Carlo simulations for the various
interface dynamics between different absorbing states, which yield new
universal dynamic exponents. With the symmetry-breaking field, the interface
moves, in average, with a constant velocity in the direction of the unpreferred
absorbing state and the dynamic scaling exponents apparently assume trivial
values. However, we find that the hyperscaling relation for the directed
percolation universality class is restored if one focuses on the dynamics of
the interface on the side of the preferred absorbing state only.

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The categories of this paper are: nlin
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The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th