Lattice-gas cellular automata

Wolf-Gladrow, D. A., "Lattice-Gas Cellular Automata and Lattice Boltzmann Models An Introduction". Springer-Verlag, Berlin (2000). 

Rothman, D.H., and S. Zalesky. 1997. Lattice-gas cellular automata. Cambridge Univ. Press, Cambridge,... 

Di Pietro, L., A. Melayah, and S. Zaleski. 1994. Modeling water infiltration in porous media by interacting lattice-gas cellular automata. Wat. Resour. Res. 30 2785-2792. 

Rothman, D.H. Zaleski, S. Lattice-Gas Cellular Automata, Cambridge University Press Cambridge, UK, 1997. 

LBM is another kind of micro-scale method that is suitable for polymer solution d5mamics. The origin of LBM can be traced back to the lattice-gas cellular automata (LGCA), in which the similar kinetic equation is shared (Lim et al, 2002) ... 

In this chapter we shall examine some of the effects of molecular fluctuations on chemical oscillations, waves and patterns. There are many ways one can attempt to study fluctuation dynamics in reacting systems, the most familiar of which are master equation models [ 1 ]. Here we present results obtained using a specific class of cellular automaton models, termed lattice-gas cellular automata [2-4]. These cellular automaton models provide a mesoscopic description of the spatially-distributed reacting system and are constructed to model the microscopic collision dynamics. The modeling strategy and rule construction are different from those for traditional cellular automata and are based on lattice-gas cellular automaton models for hydrodynamics [5]. However, reactive lattice-gas models differ from the corresponding hydrodynamics models in a number of important respects and are closely related to master equation descriptions of the reactive dynamics. 

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