2026/07/30 by Phillip Nimphius, Nariya Uchida
Physics and Astronomy · #nlin.PS
8 pages, 6 figures
arxiv created 2026/07/30 · arxiv updated 2026/07/31
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∈ [0.5, 1]. We focused on the growth of orientationally correlated domains and found that the average total boundary size |B| obeys an approximate power law |B|∝ 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.