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Phase transition in conservative diffusive contact processes.

Carlos E Fiore1, Mário J de Oliveira

  • 1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, São Paulo, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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Conservative diffusive contact processes exhibit distinct phase transitions. Particle creation models influence whether transitions are continuous or first-order, especially at high diffusion rates.

Area of Science:

  • Statistical Physics
  • Complex Systems
  • Computational Physics

Background:

  • Contact processes are fundamental models in statistical physics.
  • Understanding phase transitions is crucial for characterizing system behavior.
  • Previous models often lacked particle number conservation and diffusive properties.

Purpose of the Study:

  • To determine the phase diagrams of conservative diffusive contact processes.
  • To investigate the nature of the transition between frozen and active states.
  • To analyze the impact of particle creation rates and diffusion on phase transitions.

Main Methods:

  • Numerical simulations were employed to model the systems.
  • The subcritical regime was studied to identify transition points.

Related Experiment Videos

  • Fractal dimension of critical clusters was analyzed to classify transition order.

    • Main Results:

    • The single-creation model exhibits a continuous transition for all diffusion rates.
    • Pair- and triplet-creation models show a first-order transition at high diffusion rates.
    • Infinite diffusion limits yield density jumps of 2/3 for pair-creation and 5/6 for triplet-creation.

    Conclusions:

    • The nature of phase transitions in diffusive contact processes depends on particle creation mechanisms.
    • Diffusion rate significantly alters transition order in multi-particle creation models.
    • These findings contribute to the understanding of non-equilibrium statistical mechanics.