Journal of Statistical Physics

, Volume 51, Issue 5–6, pp 797–802 | Cite as

Mean field theory of self-organized critical phenomena

  • Chao Tang
  • Per Bak
Articles

Abstract

A mean field theory is presented for the recently discovered self-organized critical phenomena. The critical exponents are calculated and found to be the same as the mean field values for percolation. The power spectrum has “1/f” behavior with exponentg4=1.

Key words

Self-organized criticality critical exponents mean field theory 1/f noise 

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References

  1. 1.
    P. Bak, C. Tang, and K. Wiesenfeld,Phys. Rev. Lett. 59:381 (1987);Phys. Rev. A (1988).Google Scholar
  2. 2.
    C. Tang and P. Bak,Phys. Rev. Lett., submitted.Google Scholar
  3. 3.
    L. Wu, S. Zhou, C. Liu, L. Kadanoff, and S. Nagel,Bull. Amer. Phys. Soc. 33:534 (1988).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • Chao Tang
    • 1
    • 2
  • Per Bak
    • 1
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of CaliforniaSanta Barbara
  2. 2.Department of PhysicsBrookhaven National LaboratoryUpton

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