Skip to main content

The Sandpile Paradigm

  • Chapter
How Nature Works

Abstract

The importance of our discovery of the coupled-pendulums case of self-organized criticality was immediately obvious to us. An open dissipative system had naturally organized itself into a critical scale-free state with avalanches of all sizes and all durations. The statistics of the avalanches follow the Gutenberg-Richter power law. There were small events and large events following the same laws. We had discovered a simple model for complexity in nature.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 49.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bak, P and Chen, K. Self-Organized Criticality. Scientific American 264, Janurary (1991) 46.

    Google Scholar 

  • Bak, Pand Creutz, M. Fractals and Self-Organized Criticality. In: Fractals and Disordered Systems 2. Bunde, A. and Havlin, S., eds. Berlin, Heidelberg: Springer, 1993.

    Google Scholar 

  • Bak, P and Paczuski, M. Why Nature Is Complex. Physics World 6(1993)39.

    Google Scholar 

  • Bak, P and Paczuski, M. Complexity, Contingency, and Criticality. Proceedings of the National Academy of Science, USA 92 (1995) 6689.

    Article  Google Scholar 

  • Chhabra, A. B., Feigenbaum, M. J., Kadanoff, L. P, Kolan, A. J., and Procaccia, I. Sandpiles, Avalanches, and the Statistical Mechanics of Non-equilibrium Stationary States. Physical Review E 47 (199 3 ) 3099.

    Google Scholar 

  • Christensen, K., Fogedby, H. C., and Jensen, H. J. Dynamical and Spatial Aspects of Sandpile Cellular Automata. Journal of Statistical Physics 63 (1991) 653.

    Article  MathSciNet  Google Scholar 

  • Dhar, D. Self-Organized Critical State of Sandpile Automata Models. Physical Review Letters 64 (1990) 1613.

    Google Scholar 

  • Gore, A. Earth in the Balance. Boston: Houghton Mifflin, 1992.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bak, P. (1996). The Sandpile Paradigm. In: How Nature Works. Copernicus, New York, NY. https://doi.org/10.1007/978-1-4757-5426-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-5426-1_3

  • Publisher Name: Copernicus, New York, NY

  • Print ISBN: 978-0-387-98738-5

  • Online ISBN: 978-1-4757-5426-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics