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Systems with superabsorbing states

Hurtado1, Munoz

  • 1Institute Carlos I for Theoretical and Computational Physics and Departamento de Electromagnetismo y Fisica de la Materia, Universidad de Granada, 18071 Granada, Spain.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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This study disproves that a 2D model with many absorbing states belongs to directed percolation universality. Superabsorbing sites prevent standard scaling, unlike in 1D or modified 2D models.

Area of Science:

  • Statistical Physics
  • Complex Systems Modeling

Background:

  • A recently proposed model with infinitely many absorbing states was investigated.
  • Previous conjectures suggested this model might belong to the directed percolation universality class.

Purpose of the Study:

  • To analyze the universality class of the proposed model.
  • To determine critical exponents and investigate scaling behavior.
  • To identify the reasons for deviations from directed percolation.

Main Methods:

  • Extensive Monte Carlo simulations were performed.
  • Critical exponents were calculated.
  • Comparisons were made with 1D and modified 2D lattice variations.

Main Results:

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  • The model was shown not to be in the directed percolation universality class.
  • The conjecture of dimensional reduction to 1D directed percolation was disproven.
  • Superabsorbing sites were identified as the cause for non-standard scaling.

    • Conclusions:

    • The presence of superabsorbing sites fundamentally alters the model's scaling behavior.
    • Directed percolation behavior is recovered in 1D and in a modified 2D honeycomb lattice model.
    • A parallel updating version exhibits a nonequilibrium first-order transition.