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One-Dimensional Lattice Dynamics of the Diffusion-Limited Reaction A+A→A+S: Transient Behavior (2000)

Abad, Enrique ; Frisch, Harry L. ; Nicolis, Gregoire

Springer

Journal of statistical physics 99 (2000), S. 1397-1407

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ISSN: 1572-9613

Keywords: nonequilibrium reaction–diffusion systems ; cellular automata ; differential-difference equations

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We use a Boolean cellular automaton model to describe the diffusion-limited dynamics of the irreversible reaction A+A→A+S on a 1D lattice. We derive a set of equations for the dynamics of the empty interval probabilities from which explicit expressions for the particle concentration and the two-point correlation can be obtained. It is shown that the long-time dynamics is in agreement with the off-lattice solution. The early-time behavior, however, predicts a slower decay of the concentration.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1018649108442

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