The concept of invariants in reaction-diffusion cellular automata

A concept of invariants in the cellular automata (CA) models is introduced, being defined as a dimensionless value that characterizes the process simulated by a CA evolution irrespective of the form of its mathematical representation. This paper is concerned with asynchronous CA-models (ACA-models), simulating reaction-diffusion processes, although it may be...

bandman.pdf197.05 KB

Diffusion effect in lattice gas automata waves

It is known that the Lattice Gas Automata (LGA) models simulate a sound wave process. Moreover, it is proved that the LGA model corresponds to the hyperbolic equation. The computer simulation show that a wave profile varies with time: the profile amplitude reduces, the profile width increases. This suggests that...

markova.pdf820.51 KB