Steady-state chemical kinetics on fractals: Segregation of reactants

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Abstract
Supercomputer simulations of the elementary A+B→0, diffusion-limited reaction were performed under steady-source conditions, on a cubic and a fractal lattice. While both reaction orders have the classical value (X=2) a dramatic segregation (‘‘morphogenesis’’) appears for the Sierpiński gasket ‘‘lattice.’’ This is relevant to chemical reactions on heterogeneous catalysts, to annealing of radiation damage and electron-hole recombination in inhomogeneous media, to charge polarization in clouds, and to possible matter-antimatter distributions in a steady-state universe.