Autocatalytic reaction on low-dimensional substrates

Simple item page
dc.creatorAgliari, E.
dc.creatorBurioni, R.
dc.creatorCassi, D.
dc.creatorNeri, F. M.
dc.date2007-08-24
dc.date.accessioned2026-07-07T08:25:24Z
dc.date.available2026-07-07T08:25:24Z
dc.descriptionWe 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0708.3314
dc.identifierhttp://arxiv.org/abs/0708.3314
dc.identifierdoi:10.1007/s00214-007-0323-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136643
dc.subjectStatistical Mechanics
dc.titleAutocatalytic reaction on low-dimensional substrates
dc.typetext

Files

Collections

arXiv