par Abad Jarillo, Enrique ;Grosfils, Patrick ;Nicolis, Grégoire
Référence Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 63, 4, page (1-13), 041102
Publication Publié, 2001
Article révisé par les pairs
Résumé : We present a stochastic, time-discrete Boolean model that mimics the mesoscopic dynamics of the desorption reactions A+A-->A+S and A+A-->S+S in a one-dimensional lattice. In the continuous-time limit, we derive a hierarchy of dynamical equations for the subset of moments involving contiguous lattice sites. The solution of the hierarchy allows to compute the exact dynamics of the mean coverage for both microscopic and coarse-grained initial conditions, which turn out to be different from the mean field predictions. The evolution equations for the mean coverage and the second-order moments are shown to be equivalent to those provided by a time-continuous master equation. The important role of higher-order fluctuations is brought out by the failure of a truncation scheme retaining only two-particle fluctuation correlations.