2019/12/09 by Kevin Liu Rodrigues, Rodrigues, Kevin Liu, Ronald Dickman +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1912.04104
openalex publication_date 2019/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A lattice of three-state stochastic phase-coupled oscillators introduced by\nWood it et al. exhibits a phase transition at a critical value of the coupling\nparameter a, leading to stable global oscillations (GO). On a complete graph,\nupon further increase in a, the model exhibits an infinite-period (IP) phase\ntransition, at which collective oscillations cease and discrete rotational\n(C3) symmetry is broken. In the case of large negative values of the\ncoupling, Escaff et al. discovered the stability of travelling-wave states with\nno global synchronization but with local order. Here, we verify the IP phase in\nsystems with long-range coupling but of lower connectivity than a complete\ngraph and show that even for large positive coupling, the system sometimes\nfails to reach global order. The ensuing travelling-wave state appears to be a\nmetastable configuration whose birth and decay (into the previously described\nphases) are associated with the initial conditions and fluctuations.\n