Stochastic properties of systems controlled by autocatalytic reactions I
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
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.
Cite
@article{arxiv.cond-mat/0404402,
title = {Stochastic properties of systems controlled by autocatalytic reactions I},
author = {L. Pal},
journal= {arXiv preprint arXiv:cond-mat/0404402},
year = {2007}
}
Comments
14 pages, 8 figures