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Related Experiment Videos

Nonequilibrium phase transition on a randomly diluted lattice.

Thomas Vojta1, Man Young Lee

  • 1Department of Physics, University of Missouri-Rolla, Rolla, Missouri 65409, USA.

Physical Review Letters
|February 21, 2006
PubMed
Summary

We discovered a new universality class for the contact process on diluted lattices, driven by geometric criticality and fluctuations. This reveals unconventional scaling and Griffiths effects at the percolation threshold.

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Area of Science:

  • Statistical physics
  • Complex systems
  • Disordered systems

Background:

  • The contact process is a fundamental model for phenomena like epidemic spreading.
  • Understanding phase transitions in disordered systems is crucial for many scientific fields.
  • Randomly diluted lattices introduce geometric constraints that affect system dynamics.

Purpose of the Study:

  • To investigate the critical behavior of the contact process on randomly diluted lattices.
  • To identify the universality class governing the nonequilibrium phase transition.
  • To explore the influence of geometric criticality and dynamical fluctuations.

Main Methods:

  • Analysis of the contact process on randomly diluted lattices.
  • Investigation of the interplay between geometric criticality and dynamical fluctuations.

Related Experiment Videos

  • Calculation of critical behavior in two and three spatial dimensions.
  • Relating findings to the infinite-randomness fixed point in 1D disordered systems.

    • Main Results:

    • Identification of a novel universality class for the contact process on diluted lattices.
    • Observation of unconventional activated (exponential) dynamical scaling.
    • Evidence of strong Griffiths effects near the percolation threshold.
    • Characterization of the nonequilibrium phase transition across the percolation threshold.

    Conclusions:

    • Geometric criticality and dynamical fluctuations define a new universality class for diluted contact processes.
    • The phase transition exhibits unique scaling behaviors and significant Griffiths effects.
    • Results offer insights into disordered systems and their critical phenomena.