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

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

We study the single-species diffusion-annihilation process with a time-dependent reaction rate, λ(t) = λ0 t−ω . Scaling arguments show that there is a critical value of the decay exponent ωc(d) separating a reaction-limited regime for ω > ωc from a diffusion-limited regime for ω < ωc. The particle density displays a mean-field, ω-dependent, decay when the process is reaction-limited whereas it ...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 2004

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/37/35/005