Nonlinear reactive systems on a lattice viewed as Boolean dynamical systems
نویسندگان
چکیده
منابع مشابه
Nonlinear Reactive Systems on Lattice Viewed as Boolean Dynamical Systems
We present a stochastic, time-discrete boolean model which mimics the meso-scopic dynamics of the desorption reactions A + A → A + S and A + A → S + S in a 1D 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 ...
متن کاملNonlinear reactive systems on a lattice viewed as Boolean dynamical systems.
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 f...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.63.041102