Self-organization and anomalous diffusion

Péter Bántay, I. Jánosi

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The self-organizing process is investigated in the continuum limit of the cellular automaton model introduced by Bak, Tang and Wiesenfeld. An anomalous diffusion equation is proposed for the description of this process, and an analytical method for the solutionis presented in one dimension, based on an adiabatic approximation.

Original languageEnglish
Pages (from-to)11-18
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume185
Issue number1-4
DOIs
Publication statusPublished - Jun 15 1992

Fingerprint

Anomalous Diffusion
organizing
cellular automata
Self-organization
continuums
Continuum Limit
Cellular Automaton Model
Self-organizing
approximation
Analytical Methods
Diffusion equation
One Dimension
Approximation

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Self-organization and anomalous diffusion. / Bántay, Péter; Jánosi, I.

In: Physica A: Statistical Mechanics and its Applications, Vol. 185, No. 1-4, 15.06.1992, p. 11-18.

Research output: Contribution to journalArticle

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