Autocatalytic reaction on low - dimensional substrates
نویسندگان
چکیده
We discuss a model for the autocatalytic reaction A + B → 2A on substrates where the reactants perform a compact exploration of the space, i.e., on lattices whose spectral dimensioñ d is < 2. For finite systems, the total time τ for the reaction to end scales according to two different regimes, for high and low concentrations of reactants. The functional dependence of τ on the volume of the substrate and the concentration of reac-tants is discussed within a mean-field approximation. Possible applications are discussed.
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