MODEL-EQUATIONS FOR 2-DIMENSIONAL QUASIPATTERNS

被引:61
作者
MULLER, HW [1 ]
机构
[1] UNIV SAARLAND, INST THEORET PHYS, D-66041 SAARBRUCKEN, GERMANY
关键词
D O I
10.1103/PhysRevE.49.1273
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
Two-dimensional model equations, invariant under the symmetry operations of an infinite horizontal plane, can undergo a cellular instability to ''quasipatterns'' of eight- or 12-fold orientational order. Two different nonlinear selection mechanisms are discussed and related to recent experiments.
引用
收藏
页码:1273 / 1277
页数:5
相关论文
共 12 条
[1]   NON-LINEAR RAYLEIGH-BENARD CONVECTION BETWEEN POORLY CONDUCTING BOUNDARIES [J].
CHAPMAN, CJ ;
PROCTOR, MRE .
JOURNAL OF FLUID MECHANICS, 1980, 101 (DEC) :759-782
[2]   ORDERED CAPILLARY-WAVE STATES - QUASI-CRYSTALS, HEXAGONS, AND RADIAL WAVES [J].
CHRISTIANSEN, B ;
ALSTROM, P ;
LEVINSEN, MT .
PHYSICAL REVIEW LETTERS, 1992, 68 (14) :2157-2160
[3]   PARAMETRICALLY EXCITED QUASI-CRYSTALLINE SURFACE-WAVES [J].
EDWARDS, WS ;
FAUVE, S .
PHYSICAL REVIEW E, 1993, 47 (02) :R788-R791
[4]  
EDWARDS WS, 1992, CR ACAD SCI II, V315, P417
[5]  
FRISCH T, COMMUNICATION
[6]  
MALOMED BA, 1989, ZH EKSP TEOR FIZ+, V96, P684
[7]   MEAN-FIELD THEORY OF QUASICRYSTALLINE ORDER [J].
MERMIN, ND ;
TROIAN, SM .
PHYSICAL REVIEW LETTERS, 1985, 54 (14) :1524-1527
[8]   PERIODIC TRIANGULAR PATTERNS IN THE FARADAY EXPERIMENT [J].
MULLER, HW .
PHYSICAL REVIEW LETTERS, 1993, 71 (20) :3287-3290
[9]   FINITE BANDWIDTH, FINITE AMPLITUDE CONVECTION [J].
NEWELL, AC ;
WHITEHEAD, JA .
JOURNAL OF FLUID MECHANICS, 1969, 38 :279-+
[10]  
NEWELL AC, UNPUB, P31925