Cellular automata grids

Figure 2.1. A two-dimensional cellular automata grid. Shown are two sets of occupied cells of different states, A and B. The unoccupied cells are blank...

Figure 5.1. A cellular automata grid on the surfaee of a cylinder. This design permits the use of a parallel set of boundaries, while the other two sides are eontinuous...

Figure 1 A cellular automata grid showing occupied cells of different states A and B, and unoccupied cells (blank).

Some or all of the vertices in each fragment may be representative of a water molecule. The trace of each fragment may be mapped onto a two-dimensional grid (Figure 3.1c). This trace is equated with the mapping of a cellular automaton von Neumann neighborhood. The cellular automata transition rules operate randomly and asynchronously on the central cell, i, in each von... 

Two other approaches treat a spatially distributed system as consisting of a grid or lattice. The cellular automaton technique looks at the numbers of particles, or values of some other variables, in small regions of space that interact by set rules that specify the chemistry. It is a deterministic and essentially macroscopic approach that is especially useful for studying excitable media. Lattice gas automata are mesoscopic (between microscopic and macroscopic). Like their cousins, the cellular automata, they use a fixed grid, but differ in that individual particles can move and react through probabilistic rules, making it possible to study fluctuations. 

Fundamental simplifications of particle-particle colhsion operator and particle-motion rules, result in the on-grid cellular automata models of fluid dynamics, i.e., LG and LBG schemes. LG hydrodynamics [37,38] describes the approach to fluid dynamics using a microworld constructed as an automaton universe, where the microscopic dynamics is not on the basis of a description of... 

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