DISPERSION-RELATION AROUND THE KINK SOLUTION OF THE CAHN-HILLIARD EQUATION

被引：28

作者：

SHINOZAKI, A ^{[1
]}

OONO, Y ^{[1
]}

机构：

[1] UNIV ILLINOIS,BECKMAN INST,URBANA,IL 61801

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.47.804

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The dispersion relation of the long-wavelength fluctuations of an interface exhibited by the Cahn-Hilliard equation is studied analytically and numerically. The expected asymptotic dispersion relation omega is similar to k3 is demonstrated. Further, using a well-defined microscopic length scale xi, the dispersion relation is numerically found to have a nearly universal form omega/k3=(1/xi)OMEGA(kxi) for a wide variety of potentials.

引用

页码：804 / 811

页数：8

共 27 条

[1] CELL DYNAMIC SYSTEM APPROACH TO BLOCK COPOLYMERS
BAHIANA, M
OONO, Y
[J]. PHYSICAL REVIEW A, 1990, 41 (12): : 6763 - 6771
[2] FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY
CAHN, JW
HILLIARD, JE
[J]. JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) : 258 - 267
[3] CHAKRABARTI A, 1988, PHYS REV B, V37, P3789
[4] Collet P., 1990, PRINCETON SERIES PHY
[5] COURANT R, 1989, METHODS MATH PHYSICS, V1
[6] PHASE-SEPARATION AND DYNAMIC SCALING IN BORATE GLASSES
CRAIEVICH, AF
SANCHEZ, JM
WILLIAMS, CE
[J]. PHYSICAL REVIEW B, 1986, 34 (04): : 2762 - 2769
[7] KINETICS OF PHASE-SEPARATION IN MN0.67CU0.33
GAULIN, BD
SPOONER, S
MORII, Y
[J]. PHYSICAL REVIEW LETTERS, 1987, 59 (06) : 668 - 671
[8] GAULINSKI ET, 1989, PHYS REV B, V39, P7266
[9] GOLDENFELD N, UNPUB
[10] KINETICS OF UN-MIXING IN AL-ZN SINGLE-CRYSTALS STUDIED BY NEUTRON SMALL-ANGLE SCATTERING
HENNION, M
RONZAUD, D
GUYOT, P
[J]. ACTA METALLURGICA, 1982, 30 (02): : 599 - 610

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