Distribution of the coalescence times in a system of diffusion-aggregation of particle clusters in one dimension
| Autor: | Jean-Yves Fortin, M. Y. Choi |
|---|---|
| Přispěvatelé: | Laboratoire de Physique et Chimie Théoriques (LPCT), Institut de Chimie du CNRS (INC)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Department of Physics and Astronomy [Seoul], Seoul National University [Seoul] (SNU), National Research Foundation of Korea NRF-2018H1D3A2065321 and 2019R1F1A1046285 |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Physics Coalescence (physics) Smoluchowski coagulation equation Stochastic process Limit distribution General Physics and Astronomy Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas symbols.namesake Stochastic dynamics Modeling and Simulation 0103 physical sciences Master equation Diffusion-limited aggregation PACS numbers: 0510Gg 0520Dd 0540-a 6143Hv Cluster (physics) symbols stochastic processes Statistical physics [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 010306 general physics Mathematical Physics diffusion-aggregation phenomena |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2020, 53, pp.505004. ⟨10.1088/1751-8121/abc8c5⟩ |
| ISSN: | 1751-8113 1751-8121 |
| DOI: | 10.1088/1751-8121/abc8c5⟩ |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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