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