Tang, Chao; Bak, Per Mean field theory of self-organized critical phenomena. (English) Zbl 1086.82530 J. Stat. Phys. 51, No. 5-6, 797-802 (1988). 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 \(\varphi=1\). Cited in 6 Documents MSC: 82B27 Critical phenomena in equilibrium statistical mechanics Keywords:Self-organized criticality; critical exponents; mean field theory; \(1/f\) noise PDF BibTeX XML Cite \textit{C. Tang} and \textit{P. Bak}, J. Stat. Phys. 51, No. 5--6, 797--802 (1988; Zbl 1086.82530) Full Text: DOI OpenURL 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). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.