AI 中文总结
该研究探讨二维晶格上非局部排斥耦合振子的波模式，发现α∈[0.5,1]存在波模式，不同α下畴增长规律不同，相关动力学特性与波解线性稳定性分析一致。
AI 中文摘要
我们研究了二维晶格上非局部排斥耦合振子的波模式，排斥耦合由相位延迟απ调节，在α∈[0.5,1]范围内发现了波模式。我们重点研究取向相关畴的增长，发现对于α=0.8和α=0.9，平均总边界大小$\bar{|B|}$满足近似幂律$\bar{|B|}\boldsymbol{\times} t^{-b}$。相比之下，在α=0.7时，动力学因缺陷介导的畴形成和畴分裂而被破坏。表观指数b的拟合窗口依赖性，以及波速c的均值和标准差，随α增大而减小，这与波解的线性稳定性分析一致。
英文摘要
We studied the wave patterns in non-locally, repulsively coupled oscillators on a 2D lattice. The repulsive coupling is tuned by the phase delay $απ$ and the wave patterns are found in the regime $α\in \left[0.5, 1\right]$. We focused on the growth of orientationally correlated domains and found that the average total boundary size $\overline{|B|}$ obeys an approximate power law $\overline{|B|}\propto t^{-b}$ for $α= 0.8$ and $α=0.9$. In contrast, at $α= 0.7$, the dynamics is disrupted by defect-mediated domain formation and domain splitting. The fitting-window dependence of the apparent exponent $b$, as well as the mean and standard deviation of the wave speed $c$, decreases with increasing $α$, which is consistent with the linear stability analysis of the wave solution.
Comments8 pages, 6 figures
