Abstract
The origin of self-organized criticality in a model without conservation law [Z. Olami, H. Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992)] is studied. The initially periodic and neutrally stable interior of the system is invaded by a "self-organized" region. This self-organization is due to the synchronization of the individual elements with each other. A simplified model of marginal oscillator locking on a directed lattice explains many of the features in the nonconserved model: in particular, the dependence of the avalanche-distribution exponent on the conservation parameter α is examined.
Original language | English (US) |
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Pages (from-to) | 742-745 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 74 |
Issue number | 5 |
DOIs | |
State | Published - 1995 |
Externally published | Yes |
ASJC Scopus subject areas
- General Physics and Astronomy