Self-organized criticality with and without conservation

I. M. Jánosi, J. Kertész

Research output: Article

38 Citations (Scopus)

Abstract

The self-organized sandpile models lose criticality if dissipation is introduced. Recently Christensen et al. have shown that dissipative automata based on the Burridge-Knopoff earthquake model exhibit critical behavior. Criticality is qualitatively different for the cases with and without conservation: A new characteristic length appears for the dissipative case which diverges slower than the system size. For all dissipative models we have found a characteristic frequency in the power spectrum of the released energy, which is absent for the conservative case. The exponents describing criticality change continuously as a function of the strength of dissipation and crossover phenomena occur in the vicinity of conservation. Disorder is irrelevant if conservation is present while it destroys criticality in the dissipative case.

Original languageEnglish
Pages (from-to)179-188
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Volume200
Issue number1-4
DOIs
Publication statusPublished - nov. 15 1993

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ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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