SINGULAR PERTURBATION-THEORY FOR PHASE-FRONT DYNAMICS AND PATTERN SELECTION

被引：16

作者：

ELDER, KR ^{[1
]}

GRANT, M ^{[1
]}

机构：

[1] MCGILL UNIV, DEPT PHYS, MONTREAL H3A 2T8, QUEBEC, CANADA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 16期

关键词：

D O I：

10.1088/0305-4470/23/16/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of phase-front dynamics equations is investigated through a particular singular perturbative expansion in a late-time, restricted-wavelength limit. The approximate solution provides a detailed description of the dynamics of pattern formation in all dimensions and reproduces some aspects of marginal stability theory in one dimension. A universal form for the dynamic structure factor is obtained for non-conserved systems. The results are applied to a model of the onset of the Rayleigh-Benard instability, the Swift-Hohenberg equation (1977).

引用

页码：L803 / L808

页数：6

共 25 条

[1] [Anonymous], 1982, SMALL ANGLE X RAY SC
[2] Bender Carl, 1999, ADV MATH METHODS SCI, V1
[3] de Bruijn N. G., 1961, ASYMPTOTIC METHODS A
[4] PROPAGATING PATTERN SELECTION
DEE, G
LANGER, JS
[J]. PHYSICAL REVIEW LETTERS, 1983, 50 (06) : 383 - 386
[5] BISTABLE SYSTEMS WITH PROPAGATING FRONTS LEADING TO PATTERN-FORMATION
DEE, GT
VANSAARLOOS, W
[J]. PHYSICAL REVIEW LETTERS, 1988, 60 (25) : 2641 - 2644
[6] ELDER KR, 1990, UNPUB
[7] The wave of advance of advantageous genes
Fisher, RA
[J]. ANNALS OF EUGENICS, 1937, 7 : 355 - 369
[8] PERIODIC STRUCTURES INDUCED BY DIRECTOR REORIENTATION IN THE LYOTROPIC NEMATIC PHASE OF DISODIUM-CROMOGLYCATE WATER
HUI, YW
KUZMA, MR
MIGUEL, MS
LABES, MM
[J]. JOURNAL OF CHEMICAL PHYSICS, 1985, 83 (01) : 288 - 292
[9] GROWTH OF FLUCTUATIONS IN QUENCHED TIME-DEPENDENT GINZBURG-LANDAU MODEL SYSTEMS
KAWASAKI, K
YALABIK, MC
GUNTON, JD
[J]. PHYSICAL REVIEW A, 1978, 17 (01): : 455 - 470
[10] DYNAMICS OF PHASE-SEPARATION IN BLOCK COPOLYMER MELTS
LIU, F
GOLDENFELD, N
[J]. PHYSICAL REVIEW A, 1989, 39 (09): : 4805 - 4810

← 1 2 3 →