Jump to ContentJump to Main Navigation
Analysis and Stochastics of Growth Processes and Interface Models$
Users without a subscription are not able to see the full content.

Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer

Print publication date: 2008

Print ISBN-13: 9780199239252

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780199239252.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy).date: 23 July 2018

Effective Theories for Ostwald Ripening

Effective Theories for Ostwald Ripening

Chapter:
(p.223) 10 Effective Theories for Ostwald Ripening
Source:
Analysis and Stochastics of Growth Processes and Interface Models
Author(s):

Barbara Niethammer

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199239252.003.0010

This chapter discusses the derivation and analysis of reduced models for a coarsening process known as Ostwald ripening, which is a paradigm for statistical self-similarity in coarsening systems. The underlying physical phenomenon appears in the late stage of phase transitions, when—due to a change in temperature or pressure for example — the energy of the underlying system becomes nonconvex and prefers two different phases of the material. Consequently a homogeneous mixture is unstable and, in order to minimze the energy, it separates into the two stable phases. Typical examples are the condensation of liquid droplets in a supersaturated vapur and phase separation in binary alloys after rapid cooling.

Keywords:   Mullins-Sekerka evolution, coarsening, Ostwald ripening, self-similarity, nonconvex energy, phase separation

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .