A. Lemarchand et al., CHEMICAL WAVE-FRONT IN 2-DIMENSIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(2), 1993, pp. 1568-1571
A reactive lattice-gas cellular automaton model is used to simulate a
chemical wave front in two dimensions. The computed value of the front
propagation velocity agrees with the one-dimensional (1D) theoretical
value. In contrast, the front width is half the predicted 1D value. T
his result is explained by the fractal character of the interface. The
fractal structure, described through several fractal dimensions, is s
hown to be independent of the reaction and diffusion parameter values.