Two-component model for the growth of porous subsurface layers

This paper studies a kinetic model that describes the interaction of two fl uctuating densities. The model makes it possible to stably reproduce the gr owth of dense, porous, and fractal structures near the surface of solids pl aced in an active medium. The solutions of local and nonlocal equations of the model are studied, and the results are used to comment on the possible scenarios of the evolution of systems whose behavior can be reduced to such a model. Finally, the exponents of the growth of the front width in a stea dy-state regime are calculated for various values of the parameters. (C) (C ) 1998 American Institute of Physics. [S1063-7761(98)02310-5].