Penta-hepta defect motion in hexagonal patterns.
Penta-hepta defect motion in hexagonal patterns.
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六边形图案中的五七缺陷运动。
DOI：
10.1103/physrevlett.74.4201
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发表时间：
1995
影响因子：
8.6
通讯作者：
Lev S.Tsimring
中科院分区：
文献类型：
--
作者：
Lev S.Tsimring
在平面波耦合振幅方程的框架下，研究了六角图形中的五-七缺陷（PHD）的结构和动力学。在远场，它推广了由于Pismen和Nepomnyashchy的静态解决方案的移动PHD的相位场的解析解。的迁移率张量的PHD计算使用相结合的分析和数值方法。的PHD攀登在稍微非最佳的六边形图案的速度的结果进行了比较振幅方程的数值模拟。考虑了最佳六角图形中五-七缺陷的相互作用。
The structure and dynamics of penta-hepta defects (PHD`s) in hexagonal patterns are studied in the framework of coupled amplitude equations for the underlying plane waves. An analytical solution for the phase field of moving PHD is found in the far field, which generalizes the static solution due to Pismen and Nepomnyashchy. The mobility tensor of the PHD is calculated using a combined analytical and numerical approach. The results for the velocity of a PHD climbing in slightly nonoptimal hexagonal patterns are compared with numerical simulations of amplitude equations. The interaction of penta-hepta defects in optimal hexagonal patterns is considered.