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Self-organized criticality - mit.edu

Self-organized criticalityVladyslav A. GolykMassachusetts Institute of Technology, Department of Physics, Cambridge, Massachusetts 02139, USAWe study the concept of the Self-organized criticality (SOC) and its application to a wide rangeof scientific problems with very different backgrounds. In particular, we discuss the Bak-Tang-Wiesenfeld sandpile model which displays SOC behavior and by computing the critical exponentfor the two-dimensional model we find the agreement with the known result. Finally, we providea new example of Zipf s law and discuss the connection of power-laws found in nature to the numbers:I. INTRODUCTIONThe discovery of the Self-organized criticality (SOC)is one of ground-breaking achievements of statisticalphysics in the last couple of decades. Self-organized crit-icality is a very rich phenomenon as it combines self-organization and criticality to describe complexity. Thisconcept was first introduced by P.

Self-organized criticality Vladyslav A. Golyk Massachusetts Institute of Technology, Department of Physics, Cambridge, Massachusetts 02139, USA

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