WEAK SELECTION AND STABILITY OF LOCALIZED DISTRIBUTIONS IN OSTWALD RIPENING

Authors
GIRON B MEERSON B SASOROV PV
Citation
B. Giron et al., WEAK SELECTION AND STABILITY OF LOCALIZED DISTRIBUTIONS IN OSTWALD RIPENING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4213-4216
Citations number
29
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
4
Year of publication
1998
Pages
4213 - 4216
Database
ISI
SICI code
1063-651X(1998)58:4<4213:WSASOL>2.0.ZU;2-V
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 pe rturbation theory is developed that, when combined with an exact invar iance property of the system, yields the selection rule in terms of th e initial condition, predicts a power-law convergence towards the sele cted selfsimilar DF, and agrees well with our numerical simulations fo r the interface- and diffusion-controlled OR. [S1063-651X(98)00510-8].