Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Simple deterministic self-organized critical system

de Sousa Vieira M1

  • 1Department of Biochemistry and Biophysics, University of California, San Francisco, California 94143-0448, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Exponential distributions in a mechanical model for earthquakes.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1996
Same author

Controlling chaos using nonlinear feedback with delay.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1996
Same author

Presence of chaos in a self-organized critical system.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1996
Same author

Self-similarity of friction laws.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1994
Same author

Dynamics of spring-block models: Tuning to criticality.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1993
Same author

Synchronization of regular and chaotic systems.

Physical review. A, Atomic, molecular, and optical physics·1992
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

We developed a deterministic, continuous cellular automaton exhibiting self-organized criticality. This chaotic system, despite its deterministic nature, shows criticality similar to earthquake models and rice pile systems.

Area of Science:

  • Complex systems
  • Statistical physics
  • Dynamical systems

Background:

  • Self-organized criticality (SOC) describes systems that naturally evolve to a critical state without fine-tuning parameters.
  • Existing SOC models often involve randomness or discrete states.

Purpose of the Study:

  • To introduce a novel continuous cellular automaton model.
  • To demonstrate self-organized criticality in a deterministic, continuous system.
  • To analyze the universality class of this new model.

Main Methods:

  • Development of a one-dimensional, continuous cellular automaton.
  • Analysis of system dynamics under deterministic rules.
  • Comparison of universality class with established models like the Oslo rice pile and earthquake train models.

Related Experiment Videos

Main Results:

  • The continuous cellular automaton exhibits self-organized criticality.
  • The system is totally deterministic, with no embedded randomness, even in initial conditions.
  • The model belongs to the same universality class as the Oslo rice pile, boundary-driven interface depinning, and the train model for earthquakes.
  • Chaos is observed only at a microscopic level in the thermodynamic limit.

Conclusions:

  • A novel, deterministic, continuous cellular automaton successfully models self-organized criticality.
  • This model provides a new framework for studying criticality in continuous systems.
  • The findings contribute to understanding universal behaviors in complex systems.