Bubbles interactions in the Cahn-Hilliard equation

被引:24
作者
Calisto, H
Clerc, M
Rojas, R
Tirapegui, E
机构
[1] Ctr Fis No Lineal & Sistemas Complejos Santiago, Santiago, Chile
[2] UNSA, Inst Non Lineaire Nice, UMR 6618, CNRS, F-065600 Valbonne, France
[3] Univ Chile, Dept Ingn Matemat, Fac Ciencias Fis & Matemat, Santiago, Chile
[4] Univ Chile, Dept Fis, Fac Ciencias Fis & Matemat, Santiago, Chile
关键词
D O I
10.1103/PhysRevLett.85.3805
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the dynamics of bubbles in the one dimensional Cahn-Hilliard equation. For a gas of diluted bubbles we find ordinary differential equations describing their interaction which permits us to describe the ulterior dynamics of the system in very good agreement with numerical simulations.
引用
收藏
页码:3805 / 3808
页数:4
相关论文
共 17 条
[1]   SLOW MOTION FOR THE CAHN-HILLIARD EQUATION IN ONE SPACE DIMENSION [J].
ALIKAKOS, N ;
BATES, PW ;
FUSCO, G .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (01) :81-135
[2]   FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY [J].
CAHN, JW ;
HILLIARD, JE .
JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) :258-267
[3]   Interface dynamics in liquid crystals [J].
Chevallard, C ;
Clerc, M ;
Coullet, P ;
Gilli, JM .
EUROPEAN PHYSICAL JOURNAL E, 2000, 1 (2-3) :179-188
[4]  
CMAPBELL DK, 1986, PHYSICA AMSTERDAM D, V18
[5]   NATURE OF SPATIAL CHAOS [J].
COULLET, P ;
ELPHICK, C ;
REPAUX, D .
PHYSICAL REVIEW LETTERS, 1987, 58 (05) :431-434
[6]  
Cross M., 1993, REV MOD PHYS, V65, P581
[7]   ON A STATIONARY STATE CHARACTERIZATION OF TRANSITION FROM SPINODAL DECOMPOSITION TO NUCLEATION BEHAVIOR IN THE CAHN-HILLIARD MODEL OF PHASE-SEPARATION [J].
EILBECK, JC ;
FURTER, JE ;
GRINFELD, M .
PHYSICS LETTERS A, 1989, 135 (4-5) :272-275
[8]   NUMERICAL-STUDIES OF THE CAHN-HILLIARD EQUATION FOR PHASE-SEPARATION [J].
ELLIOTT, CM ;
FRENCH, DA .
IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 38 (02) :97-128
[9]   INTERACTING LOCALIZED STRUCTURES WITH GALILEAN INVARIANCE [J].
ELPHICK, C ;
IERLEY, GR ;
REGEV, O ;
SPIEGEL, EA .
PHYSICAL REVIEW A, 1991, 44 (02) :1110-1122
[10]   SPATIOTEMPORAL COMPLEXITY IN TRAVELING PATTERNS [J].
ELPHICK, C ;
MERON, E ;
SPIEGEL, EA .
PHYSICAL REVIEW LETTERS, 1988, 61 (05) :496-499