## Mean field theory of self-organized critical phenomena.(English)Zbl 1086.82530

Summary: 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 exponent $$\varphi=1$$.

### MSC:

 82B27 Critical phenomena in equilibrium statistical mechanics
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### References:

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