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Universality in the pair contact process with diffusion.

G T Barkema1, E Carlon

  • 1Institute for Theoretical Physics, Utrecht University, 3584 CE Utrecht, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
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The pair contact process with diffusion shows complex critical behavior. Effective exponents vary nonmonotonically, eventually matching directed percolation universality class dynamics.

Area of Science:

  • Statistical physics
  • Complex systems

Background:

  • The pair contact process with diffusion is a key model in statistical physics.
  • Understanding its critical dynamics is crucial for complex systems research.

Purpose of the Study:

  • To investigate the critical behavior of the pair contact process with diffusion.
  • To determine the universality class and identify any intermediate dynamic regimes.

Main Methods:

  • Multispin Monte Carlo simulations.
  • Density matrix renormalization group (DMRG) calculations.

Main Results:

  • Effective critical exponents exhibit nonmonotonic behavior over time and system length.
  • Asymptotic behavior aligns with the directed percolation universality class.

Related Experiment Videos

  • An intermediate dynamical regime, resembling parity-conserving processes, was identified.

    • Conclusions:

    • The pair contact process with diffusion displays rich critical phenomena.
    • Directed percolation universality governs the long-term dynamics.
    • A distinct intermediate regime offers new insights into non-equilibrium statistical mechanics.