Power laws and self-organized criticality in theory and nature

D Marković, C Gros - Physics Reports, 2014 - Elsevier
Power laws and distributions with heavy tails are common features of many complex
systems. Examples are the distribution of earthquake magnitudes, solar flare intensities and …

25 years of self-organized criticality: concepts and controversies

NW Watkins, G Pruessner, SC Chapman… - Space Science …, 2016 - Springer
Introduced by the late Per Bak and his colleagues, self-organized criticality (SOC) has been
one of the most stimulating concepts to come out of statistical mechanics and condensed …

[BOOK][B] Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools

D Sornette - 2006 - books.google.com
Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

[BOOK][B] Self-organized criticality: emergent complex behavior in physical and biological systems

HJ Jensen - 1998 - books.google.com
Self-organized criticality (SOC) maintains that complex behavior can develop spontaneously
in certain multi-body systems whose dynamics vary abruptly. This is a clear and concise …

Physics of the granular state

HM Jaeger, SR Nagel - Science, 1992 - science.org
Granular materials display a variety of behaviors that are in many ways different from those
of other substances. They cannot be easily classified as either solids or liquids. This has …

Self-organized critical state of sandpile automaton models

D Dhar - Physical Review Letters, 1990 - APS
We study a general Bak-Tang-Wiesenfeld–type automaton model of self-organized criticality
in which the toppling conditions depend on local height, but not on its gradient. We …

A forest-fire model and some thoughts on turbulence

P Bak, K Chen, C Tang - Physics letters A, 1990 - Elsevier
A forest-fire model and some thoughts on turbulence Page 1 Volume 147, number 5,6
PHYSICSLETTERS A 16 July 1990 A forest-fire model and some thoughts on turbulence Per …

Self-organized criticality

DL Turcotte - Reports on progress in physics, 1999 - iopscience.iop.org
The concept of self-organized criticality was introduced to explain the behaviour of the
sandpile model. In this model, particles are randomly dropped onto a square grid of boxes …

Two-state model of self-organized criticality

SS Manna - Journal of Physics A: Mathematical and General, 1991 - iopscience.iop.org
Studies a two-state version of the sandpile model of self-organized criticality. Instead of a
critical height of stability as in the sandpile model, the author introduces a hard core …

[BOOK][B] Encyclopedia of nonlinear science

A Scott - 2006 - taylorfrancis.com
In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …