Cascades and self-organized criticality

S. S. Manna, László B. Kiss, János Kertész

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

We generalize the model of self-organized critical systems to cases where due to some internal degrees of freedom the local conservation law is violated. This can be realized by taking a transfer ratio different from the critical one in a sand pile model (global violation) or allowing fluctuations around the critical ratio (local violation). In the first case the deviation from the critical ratio R is a critical parameter and the characteristic avalanche size diverges as |R|. In the second case the global conservation assures criticality; however, our numerical results indicate that the model is in a new universality class.

Original languageEnglish
Pages (from-to)923-932
Number of pages10
JournalJournal of Statistical Physics
Volume61
Issue number3-4
DOIs
StatePublished - Nov 1990
Externally publishedYes

Keywords

  • Self-organized criticality
  • conservation
  • fluctuations
  • universality

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