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arXiv · 0708.3314

Autocatalytic reaction on low-dimensional substrates

E. Agliari·R. Burioni·D. Cassi·F. M. Neri
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Abstract

We discuss a model for the autocatalytic reaction $A+B\to 2A$ on substrates where the reactants perform a compact exploration of the space, i.e., on lattices whose spectral dimension $\tilde{d}$ 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 reactants is discussed within a mean-field approximation. Possible applications are discussed.

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E. Agliari, R. Burioni, D. Cassi, F. M. Neri. 2007-08-24. Autocatalytic reaction on low-dimensional substrates. https://doi.org/10.1007/s00214-007-0323-5

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