Proportion of unaffected sites in a reaction-diffusion process
نویسندگان
چکیده
منابع مشابه
Proportion of Unaffected Sites in a Reaction - Diffusion Process
We consider the probability P (t) that a given site remains unvisited by any of a set of random walkers in d dimensions undergoing the reaction A + A → 0 when they meet. We find that asymptotically P (t) ∼ t−θ with a universal exponent θ = 1 2−O(ǫ) for d = 2 − ǫ, while, for d > 2, θ is non-universal and depends on the reaction rate. The analysis, which uses field-theoretic renormalisation group...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/1/004