Weak selection and stability of localized distributions in Ostwald ripening
Statistical Mechanics
2009-10-31 v1 Materials Science
Pattern Formation and Solitons
patt-sol
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.
Keywords
Cite
@article{arxiv.cond-mat/9801178,
title = {Weak selection and stability of localized distributions in Ostwald ripening},
author = {Boaz Giron and Baruch Meerson and Pavel V. Sasorov},
journal= {arXiv preprint arXiv:cond-mat/9801178},
year = {2009}
}
Comments
4 pages, 2 figures, submitted to PRL