Phase instabilities in hexagonal patterns

被引：25

作者：

Echebarria, B ^{[1
]}

Perez-Garcia, C ^{[1
]}

机构：

[1] Univ Navarra, Fac Ciencias, Dept Fis & Matemat Aplicada, E-31080 Pamplona, Navarra, Spain

来源：

EUROPHYSICS LETTERS | 1998年 / 43卷 / 01期

关键词：

D O I：

10.1209/epl/i1998-00315-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The general form of the amplitude equations for a hexagonal pattern including spatial terms is discussed. At the lowest order we obtain the phase equation for such patterns. The general expression of the diffusion coefficients is given and the contributions of the new spatial terms are analysed in this paper. From these coefficients the phase stability regions in a hexagonal pattern are determined. In the case of Benard-Marangoni instability our results agree qualitatively with numerical simulations performed recently.

引用

页码：35 / 40

页数：6

共 25 条

[1]

ABOU B, UNPUB

[2]

Benard H., 1900, REV GEN SCI PURES AP, V11, P1261, DOI DOI 10.1051/JPHYSTAP:019000090051300

[3] PHASE AND AMPLITUDE INSTABILITIES FOR BENARD-MARANGONI CONVECTION IN FLUID LAYERS WITH LARGE ASPECT RATIO [J].