1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior

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dc.creatorAbad, E.
dc.creatorFrisch, H. L.
dc.creatorNicolis, G.
dc.date2000-02-28
dc.date.accessioned2026-07-07T02:36:53Z
dc.date.available2026-07-07T02:36:53Z
dc.descriptionWe 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.
dc.description10 pages. Accepted for publication in the June 2000 issue of the JSP (Volume 99, Issue 5/6)
dc.identifierhttps://arxiv.org/abs/cond-mat/0002432
dc.identifierhttp://arxiv.org/abs/cond-mat/0002432
dc.identifierJ. Stat. Phys. 99, 1397 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16088
dc.subjectStatistical Mechanics
dc.title1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior
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