Weak selection and stability of localized distributions in Ostwald ripening

Boaz Giron, Baruch Meerson, Pavel V. Sasorov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


We support and generalize a weak selection rule predicted recently for the self-similar asymptotics of the distribution function (DF) in the zero-volume-fraction limit of Ostwald ripening (OR). An asymptotic perturbation theory is developed that, when combined with an exact invariance property of the system, yields the selection rule in terms of the initial condition, predicts a power-law convergence towards the selected self-similar DF, and agrees well with our numerical simulations for the interface- and diffusion-controlled OR.

Original languageAmerican English
Pages (from-to)4213-4216
Number of pages4
JournalPhysical Review E
Issue number4
StatePublished - 1998


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