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Cellular Automata and Modeling of Complex Physical Systems

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Table of Contents

I Information Theory and Statistical Physics.- Cellular Automata, Dynamics and Complexity.- Scaling Properties of a Family of Transformations Defined on Cellular Automaton Rules.- Entropy and Correlations in Dynamical Lattice Systems.- Cellular Automata Probability Measures.- Complex Computing with Cellular Automata.- Phase Transitions of Two-State Probabilistic Cellular Automata with One Absorbing Phase.- Simulating the Ising Model on a Cellular Automaton.- Domain Growth Kinetics: Microscopic Derivation of the t1/2 Law.- Critical Behavior in Cellular Automata Models of Growth.- II Lattice Gas Theory and Direct Applications.- Deterministic Cellular Automata with Diffusive Behavior.- Cellular Automata Approach to Diffusion Problems.- Long-Time Decay of Velocity Autocorrelation Function of Two- Dimensional Lattice Gas Cellular Automata.- Evidence for Lagrangian Tails in a Lattice Gas.- The Construction of Efficient Collision Tables for Fluid Flow Computations with Cellular Automata.- Lattice Boltzmann Computing on the IBM 3090 Vector Multiprocessor.- Bibliography on Lattice Gases and Related Topics.- III Modeling of Microscopic Physical Processes.- Multi-species Lattice-Gas Automata for Realistic Fluid Dynamics.- Immiscible Lattice Gases: New Results, New Models.- Lattice Gas Simulation of 2-D Viscous Fingering.- Dynamics of Colloidal Dispersions via Lattice-Gas Models of an Incompressible Fluid.- Strings: A Cellular Automata Model of Moving Objects.- Cellular Automata Approach to Reaction-Diffusion Systems.- Simulation of Surface Reactions in Heterogeneous Catalysis: Sequential and Parallel Aspects.- IV Complex Macroscopic Behavior, Turbulence.- Periodic Orbits in a Coupled Map Lattice Model.- Phase Transitions in Convection Experiments.- Using Coupled Map Lattices to Unveil Structures in the Space of Cellular Automata.- V Design of Special-Purpose Computers.- A Cellular Automata Machine.- Index of Contributors.

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