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Driven pair contact process with diffusion.

Su-Chan Park1, Hyunggyu Park

  • 1School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea.

Physical Review Letters
|March 24, 2005
PubMed
Summary
This summary is machine-generated.

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The pair contact process with diffusion (PCPD) shows distinct critical behavior. Introducing biased diffusion reveals mean-field critical behavior in 1D, differentiating it from directed percolation (DP) and parity-conserving (PC) models.

Area of Science:

  • Statistical Physics
  • Complex Systems

Background:

  • The critical behavior of the pair contact process with diffusion (PCPD) remains unclear.
  • Existing models like directed percolation (DP) and parity-conserving (PC) have established universality classes.

Purpose of the Study:

  • To clarify the critical behavior of the driven PCPD.
  • To determine if PCPD belongs to known universality classes (DP or PC).

Main Methods:

  • Introduction of biased diffusion to the PCPD model.
  • Analysis of external driving effects on critical behavior.
  • Comparison with single-species bosonic field theories and Galilean invariance.

Main Results:

  • External driving is relevant in the driven PCPD.

Related Experiment Videos

  • Driven PCPD exhibits mean-field-type critical behavior even in one dimension.
  • PCPD's universality class is distinct from DP and PC.

    • Conclusions:

    • The PCPD universality class differs from DP and PC.
    • PCPD is generally a multispecies model.
    • A two-species field theory is appropriate for describing PCPD.