Self-organized Criticality on Small World Networks

  title={Self-organized Criticality on Small World Networks},
  author={Hans J. Herrmann},
We study the BTW-height model of self-organized criticality on a square lattice with some long range connections giving to the lattice the character of small world network. We find that as function of the fraction p of long ranged bonds the power law of the avalanche size and lifetime distribution changes following a crossover scaling law with crossover exponents 2/3 and 1 for size and lifetime respectively. Small world networks have recently been observed to exist in many physical , biological… CONTINUE READING


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