7 papers
Heterogeneous Network Topology Induces the Widom Line
Cook Hyun Kim, B. Kahng
The Widom line, initially identified as a crossover line between liquid-like and gas-like behavior in water and supercritical fluids, separates these two types of behavior. Here, w…
Paths to synchronization in the Kuramoto model with inertia
Cook Hyun Kim, Yeomoon Kim, Stefano Boccaletti +1
Synchronization is ubiquitous across natural and synthetic systems, yet most prior studies focus on the inertia-free Kuramoto model and do so at the macroscopic level. In this stud…
Phase lag enhances synchronization in coupled oscillators with inertia
Sudo Yi, Cook Hyun Kim, Heetae Kim +1
The second-order Kuramoto model with inertia exhibits different dynamical behaviors than the first-order KM without inertia. A central difference is its lower synchronization due t…
Ashkin-Teller model with antiferromagnetic four-spin interactions: Interference effect between two conflicting issues
Cook Hyun Kim, Hoyun Choi, Joonsung Jung +1
Spin systems have emerged as powerful tools for understanding collective phenomena in complex systems. In this work, we investigate the Ashkin--Teller (AT) model on random scale-fr…
Cluster-Mediated Synchronization Dynamics in Globally Coupled Oscillators with Inertia
Cook Hyun Kim, Jinha Park, Young Jin Kim +3
Globally coupled oscillator systems with inertia exhibit complex synchronization patterns, among which the emergence of a couple of secondary synchronized clusters (SCs) in additio…
From Spatial to Spectral: Network Renormalization via Dynamical Correlations
Cook Hyun Kim, B. Kahng
Network renormalization has traditionally relied on spatial adjacency-grouping nearby nodes together, but this approach fails to capture the dynamical correlations that govern syst…