talk to be presented in
Condensed Matter Physics Journal Club
2002-02-06
Abstract
The dynamics of a directed avalanche systems can be mapped to the dynamics of
an interface model in one lower dimension. This allows us to understand the
scaling behavior of avalanche systems from the prospective of their underlying
interface dynamics. In this talk we'll introduce this mapping and discuss its
application to a sandbox model.
References
- P. Bak, C. Tang and K. Wiesenfeld,
Self-organized criticality: An explanation of the 1/f noise,
Phys. Rev. Lett.
59, 381 (1987)
- D. Dhar and R. Ramaswamy,
Exactly solved model of self-organized critical phenomena,
Phys. Rev. Lett.
63, 1659 (1989)
- P. Bak, How nature works: the science of self-organized criticality
(Copernicus, New York, 1996)
- for interface dynamics and KPZ models see references in Chen-Shan's
talk
(week 2, 2002-01-16)
- a web page on sandbox model
- a preprint,
An interface view of directed sandpile dynamics,
cond-mat/0104001
Slides
Criticality in nature
Spring-block model of earthquake
- R. Burridge and L. Knopoff, Bull. Seismol. Soc. Amer. 57, 341 (1967)
- J. M. Carlson and J. S. Langer, Properties of earthquakes generated by
fault dynamics, Phys.
Rev. Lett. 62, 2632 (1989)
Sandpile models
- P. Bak, C. Tang and K. Wiesenfeld,
Self-organized criticality: An explanation of the 1/f noise,
Phys. Rev. Lett.
59, 381 (1987)
- S. S. Manna, Two-state model of self-organized criticality, J. Phys. A 24, L363 (1991)
- D. Dhar and R. Ramaswamy, Exactly solved model of self-organized
critical phenomena,
Phys. Rev. Lett. 63, 1659 (1989)
- Romualdo Pastor-Satorras and Alessandro Vespignani, Universality
classes in directed sandpile models,
J. Phys. A:
Math. Gen 33, L33 (2000)
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