Work

Weak selection and stability of localized distributions in Ostwald ripening

Year: 1998

Type: article

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 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.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.58.4213

Authors: Boaz Giron, Baruch Meerson, Pavel V. Sasorov

Institution: Hebrew University of Jerusalem

Language: English

Topic: Solidification and crystal growth phenomena

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2024898967

FWCI: 2.351

Cites: 26

Cited by: 49

Related to: 10