# SELF-ORGANIZED 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 self-organized 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 self-organized 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 Bak-Tang-Wiesenfeld sand-pile 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):
- BNL-77958-2007-BC

R&D Project: 08775; KA1401020; TRN: US200723%%303

- DOE Contract Number:
- DE-AC02-98CH10886

- 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.
```*SELF-ORGANIZED CRITICALITY AND CELLULAR AUTOMATA*. United States: N. p., 2007.
Web.

```
CREUTZ,M.
```*SELF-ORGANIZED CRITICALITY AND CELLULAR AUTOMATA*. United States.

```
CREUTZ,M. Mon .
"SELF-ORGANIZED CRITICALITY AND CELLULAR AUTOMATA". United States.
doi:. https://www.osti.gov/servlets/purl/909963.
```

```
@article{osti_909963,
```

title = {SELF-ORGANIZED 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 self-organized 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 self-organized 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 Bak-Tang-Wiesenfeld sand-pile model [1] are discussed.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2007},

month = {Mon Jan 01 00:00:00 EST 2007}

}