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Interface depinning versus absorbing-state phase transitions.

Mikko Alava1, Miguel A Muñoz

  • 1Laboratory of Physics, Helsinki University of Technology, HUT-02105, Finland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
PubMed
Summary
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This study reveals that absorbing-state phase transitions and interface depinning models share the same critical exponents. These distinct models represent the same underlying physics in dimensions greater than one.

Area of Science:

  • Statistical Physics
  • Condensed Matter Physics

Background:

  • Absorbing-state phase transitions are crucial in systems with many inactive states.
  • Interface depinning models describe the motion of interfaces in disordered media.

Purpose of the Study:

  • To investigate the connection between absorbing-state phase transitions and interface pinning.
  • To demonstrate that these phenomena belong to the same universality class.

Main Methods:

  • Heuristic mapping of interface dynamics to a Langevin equation for active-site density.
  • Constructing a mapping from an absorbing-state model to a discrete interface equation.
  • Analyzing critical exponent relations and noise terms.

Main Results:

Related Experiment Videos

  • Numerical results indicate coinciding critical exponents between the two models.
  • A Reggeon-field-theory-like description emerges from the mapping.
  • Quenched disorder in the interface model originates from the absorbing-state model.

    • Conclusions:

    • Absorbing-state phase transitions and interface depinning are equivalent in dimensions greater than one.
    • Both models are different representations of the same fundamental physics.
    • This finding unifies understanding across different areas of statistical physics.