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Directed percolation with long-range interactions: Modeling nonequilibrium wetting.

F Ginelli1, H Hinrichsen, R Livi

  • 1Institut für Theoretische Physik und Astrophysik, University of Würzburg, D-97974 Würzburg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 24, 2005
PubMed
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Phase transitions in nonequilibrium wetting are linked to long-range contact processes. The study reveals a critical exponent sigma determines if transitions are continuous (sigma>1) or first-order (0

Area of Science:

  • Statistical Physics
  • Soft Matter Physics
  • Complex Systems

Background:

  • Non equilibrium wetting phenomena exhibit phase transitions.
  • These transitions may be related to contact processes with long-range interactions.

Purpose of the Study:

  • To investigate the relationship between nonequilibrium wetting phase transitions and contact processes with long-range interactions.
  • To determine the critical behavior of these systems based on interaction parameters.

Main Methods:

  • Introduction of a model with an activation rate dependent on island length: 1+a l(-sigma).
  • Utilizing mean-field analysis.
  • Performing numerical simulations.

Main Results:

Related Experiment Videos

  • For sigma > 1, the phase transition is continuous and aligns with the universality class of directed percolation.
  • For 0 < sigma < 1, the phase transition shifts to become first-order.
  • The exponent sigma acts as a critical criterion distinguishing transition types.

    • Conclusions:

    • The study establishes a clear criterion (sigma) for classifying phase transitions in nonequilibrium wetting models.
    • Findings are applicable to understanding critical properties across various nonequilibrium wetting models.
    • Highlights the role of long-range interactions in driving distinct phase transition behaviors.