Droplet minimizers for the Cahn-Hilliard free energy functional

被引：7
|
作者：
Carlen, E. A. [1 ]
Carvalho, M. C.
Esposito, R.
Lebowitz, J. L.
Marra, R.
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Univ Lisbon, Dept Math, P-1649003 Lisbon, Portugal
[3] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal
[4] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy
[5] Rutgers State Univ, Dept Math & Phys, New Brunswick, NJ 08903 USA
[6] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
[7] Univ Roma Tor Vergata, Ist Nazl Fis Nucl, I-00133 Rome, Italy
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2006年 / 16卷 / 02期
基金：
美国国家科学基金会;
关键词：
free energy functional; critical droplet; minimization problem;
D O I：
10.1007/BF02922115
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove theorems characterizing the minimizers for the Cahn-Hilliard free energy functional, which is used to describe the liquid vapor phase transition (at, the 2 state magnetization transition). In particular we exactly determine the critical density for droplet formation, and the geometry of the droplets.
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页码：233 / 264
页数：32
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