Stochastic properties of systems controlled by autocatalytic reactions I

Details Stochastic properties of systems controlled by autocatalytic reactions I Stochastic properties of systems controlled by autocatalytic reactions I

2004-04-16

arxiv.org/abs/cond-mat/0404402v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, 8 figures

Scientific paper

We 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.

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