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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2020

Distribution of the coalescence times in a system of diffusion-aggregation of particle clusters in one dimension

Résumé

We consider the stochastic dynamics of a system of diffusing clusters of particles on a finite periodic chain. A given cluster of particles can diffuse to the right or left as a whole and merge with other clusters; this process continues until all the clusters coalesce. We examine the distribution of the cluster numbers evolving in time, by means of a general time-dependent master equation based on a Smoluchowski equation for local coagulation and diffusion processes. Further, the limit distribution of the coalescence times is evaluated when only one cluster survives.
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Dates et versions

hal-02904540 , version 1 (22-07-2020)

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Jean-Yves Fortin, Mooyoung Choi. Distribution of the coalescence times in a system of diffusion-aggregation of particle clusters in one dimension. Journal of Physics A: Mathematical and Theoretical, 2020, 53, pp.505004. ⟨10.1088/1751-8121/abc8c5⟩. ⟨hal-02904540⟩
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