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Mean field theory of self-organized critical phenomena

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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.

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References

  1. P. Bak, C. Tang, and K. Wiesenfeld,Phys. Rev. Lett. 59:381 (1987);Phys. Rev. A (1988).

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  2. C. Tang and P. Bak,Phys. Rev. Lett., submitted.

  3. L. Wu, S. Zhou, C. Liu, L. Kadanoff, and S. Nagel,Bull. Amer. Phys. Soc. 33:534 (1988).

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of California, 93106, Santa Barbara, California

    Chao Tang & Per Bak

  2. Department of Physics, Brookhaven National Laboratory, 11973, Upton, New York

    Chao Tang & Per Bak

Authors
  1. Chao Tang
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  2. Per Bak
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Tang, C., Bak, P. Mean field theory of self-organized critical phenomena. J Stat Phys 51, 797–802 (1988). https://doi.org/10.1007/BF01014884

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  • DOI: https://doi.org/10.1007/BF01014884

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