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Stochastic Boolean Dynamics of Nonlinear Reactive Systems

par Abad Jarillo, Enrique
Référence AIP Conference Proceedings, 661, 1, page (81-84)
Publication Publié, 2003-04

Article révisé par les pairs

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Résumé :

The lattice dynamics of the reaction A + A → A + S is treated using a Boolean model inspired by a Monte Carlo algorithm. In the diffusionless case, we solve the relevant set of moment equations and show that the coverage θ in A particles decays exponentially to an initial-condition-dependent steady state. The same moment equations are recovered in the framework of a Master equation approach. Diffusion drives the system into the empty state predicted by the classical mean field law, but an anomalous slowing down is observed due to reaction-induced transient fluctuations.