Abstract (may include machine translation)
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 language | English |
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Pages (from-to) | 179-188 |
Number of pages | 10 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 200 |
Issue number | 1-4 |
DOIs | |
State | Published - 15 Nov 1993 |
Externally published | Yes |