Exact equations and scaling relations for f0 avalanche in the Bak-Sneppen evolution model.

An infinite hierarchy of exact equations is derived for the newly observed f0 avalanche in the Bak-Sneppen model. By solving the first-order exact equation, we find that the critical exponent gamma, governing the divergence of the average avalanche size, is exactly 1 (for all dimensions), which has been confirmed by extensive simulations. Solution of the gap equation yields another universal result rho = 1 (rho is the exponent of relaxation to attractor). Scaling relations are established among the critical exponents (gamma, tau, D, sigma, and nu) for the f0 avalanche.

• Publication year

  2000

• Venue

  Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

• Publication date

  2000-05-01

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.61.5630arXiv cond-mat/0005068PMID 11031618
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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