Multi-particle diffusion limited aggregation
نویسندگان
چکیده
منابع مشابه
Diffusion - Limited Aggregation Processes with 3 - Particle Elementary Reactions
A diffusion-limited aggregation process, in which clusters coalesce by means of 3-particle reaction, A + A + A → A, is investigated. In one dimension we give a heuristic argument that predicts logarithmic corrections to the mean-field asymptotic behavior for the concentration of clusters of mass m at time t, C m (t) ∼ m −1/2 (log(t)/t) 3/4 , for 1 ≪ m ≪ t/ log(t). The total concentration of clu...
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In the Diffusion Limited Aggregation (DLA) process on on Z, or more generally Z, particles aggregate to an initially occupied origin by arrivals on a random walk. The scaling limit of the result, empirically, is a fractal with dimension strictly less than d. Very little has been shown rigorously about the process, however. We study an analogous process on the Boolean lattice {0, 1}, in which pa...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2019
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-019-00890-5