11. Cellular Automata

  1. Dr. Dierk Raabe1,2

Published Online: 24 MAR 2004

DOI: 10.1002/3527601945.ch11

Computational Materials Science: The Simulation of Materials, Microstructures and Properties

Computational Materials Science: The Simulation of Materials, Microstructures and Properties

How to Cite

Raabe, D. (1998) Cellular Automata, in Computational Materials Science: The Simulation of Materials, Microstructures and Properties, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527601945.ch11

Author Information

  1. 1

    Department for Materials Science & Engineering, Carnegie Mellon University, Room 3317, Wean Hall, Pittsburgh, PA 15213-3890, USA

  2. 2

    Institut für Metallkunde und Metallphysik, RWTH Aachen, Kopernikusstraße 14, 52056 Aachen, Germany

Publication History

  1. Published Online: 24 MAR 2004
  2. Published Print: 1 JUN 1998

ISBN Information

Print ISBN: 9783527295418

Online ISBN: 9783527601943

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Keywords:

  • cellular automata;
  • versatility;
  • materials science;
  • cellular automaton simulations;
  • Monte Carlo;
  • simulation;
  • non-equilibrium phenomena;
  • recrystallization;
  • transformation rules

Summary

This chapter contains sections titled:

  • Introduction and Fundamentals

  • Versatility of Cellular Automata in Materials Science

  • Formal Description of Cellular Automata

  • Probabilistic Cellular Automata

  • Lattice Gas Cellular Automata

  • Mesh Types for Cellular Automaton Simulations

  • Optimization of Cellular Automata with Respect to Storage Limitation

  • Cellular Automata and Monte Carlo

  • Simulation of Non-Equilibrium Phenomena

    • Thermodynamic Aspects

    • Kinetic Aspects

    • Deterministic Cellular Automaton Solution

    • Probabilistic Cellular Automaton Solution

  • Application of Cellular Automata in Materials Science

  • Examples of Cellular Automaton Simulations in Materials Science

    • Simulation of Recrystallization by Use of a CA with Deterministic Transformation Rules

    • Simulation of Recrystallization and Coarsening by Use of a CA with Stochastic Transformation Rules