Dynamics of penta-hepta defects in hexagonal patterns

被引：18
作者：
Tsimring, LS
机构：
[1] Institute for Nonlinear Science, University of California, San Diego
来源：
PHYSICA D | 1996年 / 89卷 / 3-4期
关键词：
D O I：
10.1016/0167-2789(95)00222-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The bound state of two dislocations known as a penta-hepta defect (PHD) is a generic object in hexagonal patterns. Its motion provides an important mechanism of wavevector(s) selection. In this paper the structure and dynamics of pentahepta defects in hexagonal patterns is studied in the framework of envelope equations. Analytical solution for phase field of moving PHD is found in the far field, which generalizes the static solution due to Pismen and Nepomnyashchy (1993). The mobility tensor of PHD is calculated using combined analytical and numerical approach. The results for the velocity of PHD climbing in slightly non-optimal hexagonal patterns are in good agreement with numerical simulations of amplitude equations. Interaction of penta-hepta defects in optimal hexagonal patterns is studied numerically.
引用
收藏
页码：368 / 380
页数：13
相关论文
共 26 条
[1]  
AHLERS G, COMMUNICATION
[2]   CONTROLLING SPATIOTEMPORAL CHAOS [J].
ARANSON, I ;
LEVINE, H ;
TSIMRING, L .
PHYSICAL REVIEW LETTERS, 1994, 72 (16) :2561-2564
[3]   STRUCTURE AND DYNAMICS OF DISLOCATIONS IN ANISOTROPIC PATTERN-FORMING SYSTEMS [J].
BODENSCHATZ, E ;
PESCH, W ;
KRAMER, L .
PHYSICA D, 1988, 32 (01) :135-145
[4]   TRANSITIONS BETWEEN PATTERNS IN THERMAL-CONVECTION [J].
BODENSCHATZ, E ;
DEBRUYN, JR ;
AHLERS, G ;
CANNELL, DS .
PHYSICAL REVIEW LETTERS, 1991, 67 (22) :3078-3081
[5]   DEFECTS IN ROLL-HEXAGON COMPETITION [J].
CILIBERTO, S ;
COULLET, P ;
LEGA, J ;
PAMPALONI, E ;
PEREZGARCIA, C .
PHYSICAL REVIEW LETTERS, 1990, 65 (19) :2370-2373
[6]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[7]  
FIRTH WJ, 1993, P SOC PHOTO-OPT INS, V2039, P290, DOI 10.1117/12.164773
[8]   INTERACTIONS AND DYNAMICS OF TOPOLOGICAL DEFECTS - THEORY AND EXPERIMENTS NEAR THE ONSET OF WEAK TURBULENCE [J].
GOREN, G ;
PROCACCIA, I ;
RASENAT, S ;
STEINBERG, V .
PHYSICAL REVIEW LETTERS, 1989, 63 (12) :1237-1240
[9]  
KUZNETSOV EA, 1994, NEW AMPLITUDE EQUATI
[10]   ON THE PHASE DYNAMICS OF HEXAGONAL PATTERNS [J].
LAUZERAL, J ;
METENS, S ;
WALGRAEF, D .
EUROPHYSICS LETTERS, 1993, 24 (09) :707-712
123