Self-organized criticality with and without conservation

I. Jánosi, J. Kertész

Research output: Contribution to journalArticle

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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Self-organized Criticality
Criticality
Conservation
conservation
dissipation
Dissipation
Sandpile Model
power spectra
crossovers
earthquakes
Critical Behavior
Diverge
Earthquake
Power Spectrum
exponents
disorders
Automata
Crossover
Disorder
Exponent

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Self-organized criticality with and without conservation. / Jánosi, I.; Kertész, J.

In: Physica A: Statistical Mechanics and its Applications, Vol. 200, No. 1-4, 15.11.1993, p. 179-188.

Research output: Contribution to journalArticle

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