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Absorbing phase transition with a conserved field.

Kwangho Park1, Sehoon Kang, In-Mook Kim

  • 1Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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This study introduces a conserved lattice gas model exhibiting a continuous phase transition to absorbing states. The critical exponents suggest a novel type of absorbing phase transition in one dimension.

Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Dynamical Systems

Background:

  • Absorbing phase transitions are critical phenomena where a system transitions into a state devoid of fluctuations.
  • Lattice gas models are fundamental in statistical mechanics for studying phase transitions and critical phenomena.
  • Understanding conserved systems is crucial for modeling diverse physical and biological processes.

Purpose of the Study:

  • To investigate a one-dimensional conserved lattice gas model.
  • To characterize its phase transition from a fluctuating phase to absorbing states.
  • To determine and analyze the critical exponents of this novel absorbing phase transition.

Main Methods:

  • Development of a conserved lattice gas model.

Related Experiment Videos

  • Analytical study of the model's dynamical process.
  • Conjecture and numerical estimation of critical exponents via computer simulations.

    • Main Results:

    • The model exhibits a continuous phase transition at a critical point in one dimension.
    • The system transitions from a fluctuating phase to two symmetric absorbing states.
    • Conjectured critical exponents show good agreement with simulation results.

    Conclusions:

    • The lattice gas model successfully demonstrates an absorbing phase transition.
    • The calculated critical exponents indicate a transition distinct from previously known universality classes.
    • The findings contribute to the understanding of non-equilibrium phase transitions in conserved systems.