Weak selection and stability of localized distributions in Ostwald ripening

Details Weak selection and stability of localized distributions in Ostwald ripening Weak selection and stability of localized distributions in Ostwald ripening

1998-01-18

arxiv.org/abs/cond-mat/9801178v1

Phys. Rev. E, 58 (1998) 4213

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, submitted to PRL

Scientific paper

10.1103/PhysRevE.58.4213

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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