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Abstract: We discuss a model for the autocatalytic reaction $A+B\to 2A$ on substrateswhere the reactants perform a compact exploration of the space, i.e., onlattices whose spectral dimension $\tilde{d}$ is $< 2$. For finite systems, thetotal time $\tau$ for the reaction to end scales according to two differentregimes, for high and low concentrations of reactants. The functionaldependence of $\tau$ on the volume of the substrate and the concentration ofreactants is discussed within a mean-field approximation. Possible applicationsare discussed.



Autor: E. Agliari, R. Burioni, D. Cassi, F. M. Neri

Fuente: https://arxiv.org/







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