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Avalanche behavior in an absorbing state Oslo model.

Kim Christensen1, Nicholas R Moloney, Ole Peters

  • 1Physics of Geological Processes, University of Oslo, P.O. Box 1048, Blindern, N-0316 Oslo, Norway. k.christensen@imperial.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
Summary

This study translates self-organized criticality into absorbing state phase transitions using the Oslo model. The research confirms the gap exponent D is consistent, but further analysis of avalanche size exponent tau is needed.

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Area of Science:

  • Physics
  • Complex Systems

Background:

  • Self-organized criticality (SOC) describes systems that naturally tune themselves to a critical state.
  • Absorbing state phase transitions are a class of transitions in statistical mechanics.

Purpose of the Study:

  • To translate the self-organized critical Oslo model into an absorbing state Oslo model.
  • To analyze avalanche behavior within this new framework.

Main Methods:

  • Transformation of the standard Oslo model into an absorbing state formulation.
  • Analysis of avalanche characteristics, including the gap exponent and avalanche size exponent.

Main Results:

  • The gap exponent (D) in the absorbing state Oslo model aligns with the value found in the self-organized critical model.

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  • The avalanche size exponent (tau) requires further investigation concerning external drive and boundary conditions.

    • Conclusions:

    • The analogy between SOC and absorbing state phase transitions is robust for the Oslo model.
    • Further research is necessary to fully characterize avalanche behavior, particularly the avalanche size exponent.