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Weak selection and stability of localized distributions in Ostwald ripening

Boaz Giron·Baruch Meerson·Pavel V. Sasorov
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Abstract

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, 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.

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BibTeXRIS

Boaz Giron, Baruch Meerson, Pavel V. Sasorov. 1998-01-18. Weak selection and stability of localized distributions in Ostwald ripening. https://doi.org/10.1103/physreve.58.4213

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