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We have numerically and theoretically investigated a simple model for two-component spreading phenomena in two different growth geometries (i. e. , spreading confined in a half space and spreading in a free space). The criticality of the domain substructures unexpectedly depends on the considered geometry. This is understood by simple arguments of domain-wall particle diffusion and annihilation. We derive a relationship between the critical exponents and for domain-wall spatial distributions in different geometries. The latter relationship is numerically verified in two, three, and four dimensions. 1996 The American Physical Society.
Vandewalle et al. (1996) studied this question.