forgot password?
register here
Research articles
  search articles
  reviews guidelines
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
Members: 2597
Articles: 1'959'068
Articles rated: 2571

27 May 2020
  » arxiv » cond-mat/0305058

  Article overview

Phase-field models in interfacial pattern formation out of equilibrium
R. Gonzalez-Cinca ; R. Folch ; R. Benitez ; L. Ramirez-Piscina ; J. Casademunt ; A. Hernandez-Machado ;
Date 3 May 2003
Journal in Advances in Condensed Matter and Statistical Mechanics, ed. by E. Korutcheva and R. Cuerno, Nova Science Publishers (New York, 2004), pp. 203-236.
Subject Materials Science; Soft Condensed Matter | cond-mat.mtrl-sci cond-mat.soft
AbstractThe phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate the fronts. These fields interpolate between different constant values in each bulk phase through diffuse interfaces of finite thickness. In solidification, the phase fields can be understood as order parameters, and the model is often derived to dynamically minimise a free energy functional. However, this is not a necessary requirement, and both derivations involving a free energy (basic solidification model) and not (first viscous fingering model) are worked out. In any case, the model is required to reproduce the original free boundary problem in the limit of vanishing interface thickness. This limit and its higher order corrections, important to make quantitative contact between simulations and experiments, are discussed for both examples. Applications to fluctuations in solidification, the growth of liquid crystal mesophases, and viscous fingering in Hele-Shaw cells are presented.
Source arXiv, cond-mat/0305058
Services Forum | Review | PDF | Favorites   
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
of broad interest:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser CCBot/2.0 (
» my Online CV
» Free

News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2020 - Scimetrica