2021/08/31 by Hyunsuk Hong, Kangmo Yeo, Hyun Keun Lee
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Constant (computer programming) #Coupling (piping) #Coupling constant #Coupling strength #Materials science #Mathematics #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Phase (matter) #Physics #Population #Position (finance) #Quantum mechanics #Stability (learning theory) #State (computer science) #Statistical physics #Theoretical and Computational Physics #Work (physics) #cond-mat.soft #nlin.AO
paper · pdf · doi:10.1103/physreve.104.044214
published in Physical review. E 104(4), 044214 (American Physical Society) · 7 pages, 5 figures
openalex publication_date 2021/10/28 · arxiv created 2021/10/29 · arxiv updated 2021/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a population of two-dimensional oscillators with random couplings and explore the collective states. The coupling strength between oscillators is randomly quenched with two values, one of which is positive while the other is negative, and the oscillators can spatially move depending on the state variables for phase and position. We find that the system shows the phase transition from the incoherent state to the fully synchronized one at a proper ratio of the number of positive couplings to the total. The threshold is numerically measured and analytically predicted by the linear stability analysis of the fully synchronized state. It is found that the random couplings induce the long-term state patterns appearing for constant strength. The oscillators move to the places where the randomly quenched couplings work as if annealed. We further observe that the system with mixed randomnesses for quenched couplings shows the combination of the deformed patterns understandable with each annealed average.