SELFORGANIZED CRITICALITY AND CELLULAR AUTOMATA
Abstract
Cellular automata provide a fascinating class of dynamical systems based on very simple rules of evolution yet capable of displaying highly complex behavior. These include simplified models for many phenomena seen in nature. Among other things, they provide insight into selforganized criticality, wherein dissipative systems naturally drive themselves to a critical state with important phenomena occurring over a wide range of length and the scales. This article begins with an overview of selforganized criticality. This is followed by a discussion of a few examples of simple cellular automaton systems, some of which may exhibit critical behavior. Finally, some of the fascinating exact mathematical properties of the BakTangWiesenfeld sandpile model [1] are discussed.
 Authors:
 Publication Date:
 Research Org.:
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Sponsoring Org.:
 Doe  Office Of Science
 OSTI Identifier:
 909963
 Report Number(s):
 BNL779582007BC
R&D Project: 08775; KA1401020; TRN: US200723%%303
 DOE Contract Number:
 DEAC0298CH10886
 Resource Type:
 Book
 Country of Publication:
 United States
 Language:
 English
 Subject:
 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; CRITICALITY; DYNAMICS; SAND; STOCKPILES; CALCULATION METHODS
Citation Formats
CREUTZ,M. SELFORGANIZED CRITICALITY AND CELLULAR AUTOMATA. United States: N. p., 2007.
Web.
CREUTZ,M. SELFORGANIZED CRITICALITY AND CELLULAR AUTOMATA. United States.
CREUTZ,M. Mon .
"SELFORGANIZED CRITICALITY AND CELLULAR AUTOMATA". United States.
doi:. https://www.osti.gov/servlets/purl/909963.
@article{osti_909963,
title = {SELFORGANIZED CRITICALITY AND CELLULAR AUTOMATA},
author = {CREUTZ,M.},
abstractNote = {Cellular automata provide a fascinating class of dynamical systems based on very simple rules of evolution yet capable of displaying highly complex behavior. These include simplified models for many phenomena seen in nature. Among other things, they provide insight into selforganized criticality, wherein dissipative systems naturally drive themselves to a critical state with important phenomena occurring over a wide range of length and the scales. This article begins with an overview of selforganized criticality. This is followed by a discussion of a few examples of simple cellular automaton systems, some of which may exhibit critical behavior. Finally, some of the fascinating exact mathematical properties of the BakTangWiesenfeld sandpile model [1] are discussed.},
doi = {},
journal = {},
number = ,
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place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}

We present a sandpile cellularautomata model that includes the effects of inertia. The model is studied in both one and two dimensions. We find that the model changes the normal selforganized critical behavior, creating a dominance of big events in the system and leading to very large fluctuations in the mass of the system. We show that those changes of behavior can only be noticed in large sandpiles, which is in accord with previous experimental results.

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