Reaction-diffusion with a time-dependent reaction rate: the single-species diffusion-annihilation process

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dc.creatorTurban, L.
dc.date2004-07-07
dc.date2004-08-20
dc.date.accessioned2026-07-07T02:59:04Z
dc.date.available2026-07-07T02:59:04Z
dc.descriptionWe study the single-species diffusion-annihilation process with a time-dependent reaction rate, lambda(t)=lambda_0 t^-omega. Scaling arguments show that there is a critical value of the decay exponent omega_c(d) separating a reaction-limited regime for omega > omega_c from a diffusion-limited regime for omega < omega_c. The particle density displays a mean-field, omega-dependent, decay when the process is reaction limited whereas it behaves as for a constant reaction rate when the process is diffusion limited. These results are confirmed by Monte Carlo simulations. They allow us to discuss the scaling behaviour of coupled diffusion-annihilation processes in terms of effective time-dependent reaction rates.
dc.description11 pages, 9 figures, minor corrections
dc.identifierhttps://arxiv.org/abs/cond-mat/0407154
dc.identifierhttp://arxiv.org/abs/cond-mat/0407154
dc.identifierJ. Phys. A 37 (2004) 8467
dc.identifierdoi:10.1088/0305-4470/37/35/005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24366
dc.subjectStatistical Mechanics
dc.titleReaction-diffusion with a time-dependent reaction rate: the single-species diffusion-annihilation process
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