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 \(\varphi=1\).


82B27 Critical phenomena in equilibrium statistical mechanics
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