Stochastic properties of systems controlled by autocatalytic reactions I

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dc.creatorPal, L.
dc.date2004-04-16
dc.date.accessioned2026-07-07T02:57:39Z
dc.date.available2026-07-07T02:57:39Z
dc.descriptionWe analyzed the stochastic behavior of systems controlled by autocatalytic reaction A+X -> X+X. Assuming the distribution of reacting particles in the system volume to be uniform, we introduced the notion of the point model of reaction kinetics, and derived a system of differential equations for probabilities of finding n=0,1,... autocatalytic particles at a given time moment. It has been found that the kinetic law of the mass action cannot be supported by stochastic model.
dc.description14 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0404402
dc.identifierhttp://arxiv.org/abs/cond-mat/0404402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23755
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleStochastic properties of systems controlled by autocatalytic reactions I
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