THEORY OF PATTERN SELECTION IN 3-DIMENSIONAL NONAXISYMMETRIC DENDRITIC GROWTH

被引：132

作者：

BENAMAR, M ^{[1
]}

BRENER, E ^{[1
]}

机构：

[1] INST SOLID STATE PHYS,142432 CHERNOGOLOVKA,RUSSIA

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 71卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.71.589

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the selection of the shape and growth velocity of three-dimensional dendritic crystals in cubically anisotropic materials. In the framework of asymptotics beyond all orders we derive the inner boundary-layer equation for the nonaxisymmetric shape correction to the Ivantsov paraboloid shape. The solvability condition for this equation provides selection for both the velocity and the shape. The comparison with available numerical and experimental results is reasonably good.

引用

页码：589 / 592

页数：4

共 25 条

[1] VELOCITY SELECTION AT LARGE UNDERCOOLING IN A TWO-DIMENSIONAL NONLOCAL MODEL OF SOLIDIFICATION [J].

BARBIERI, A .

PHYSICAL REVIEW A, 1987, 36 (11) :5353-5358

[2] PREDICTIONS OF DENDRITIC GROWTH-RATES IN THE LINEARIZED SOLVABILITY THEORY [J].

BARBIERI, A ;

LANGER, JS .

PHYSICAL REVIEW A, 1989, 39 (10) :5314-5325

[3]

BENAMAR M, 1986, EUROPHYS LETT, V2, P307, DOI 10.1209/0295-5075/2/4/008

[4] NUMERICAL RESULTS ON TWO-DIMENSIONAL DENDRITIC SOLIDIFICATION [J].

BENAMAR, M ;

MOUSSALLAM, B .

PHYSICA D-NONLINEAR PHENOMENA, 1987, 25 (1-3) :155-164

[5] DENDRITIC GROWTH-RATE AT ARBITRARY UNDERCOOLING [J].

BENAMAR, M .

PHYSICAL REVIEW A, 1990, 41 (04) :2080-2092

[6] THEORY OF NEEDLE-CRYSTAL [J].

BENAMAR, M .

PHYSICA D, 1988, 31 (03) :409-423

[7] DYNAMICS OF CURVED FRONTS AND PATTERN SELECTION [J].

BENSIMON, D ;

PELCE, P ;

SHRAIMAN, BI .

JOURNAL DE PHYSIQUE, 1987, 48 (12) :2081-2087

[8]

BRENER EA, 1987, JETP LETT+, V45, P759

[9] PATTERN SELECTION IN 2-DIMENSIONAL DENDRITIC GROWTH [J].

BRENER, EA ;

MELNIKOV, VI .

ADVANCES IN PHYSICS, 1991, 40 (01) :53-97

[10]

BRENER EA, 1988, ZH EKSP TEOR FIZ, V67, P2574

← 1 2 3 →