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Growing Scale-Free Networks with Tunable Clustering
Petter Holme, Beom Jun Kim
We extend the standard scale-free network model to include a ``triad formation step''. We analyze the geometric properties of networks generated by this algorithm both analytically…
Synchronization on small-world networks
H. Hong, M. Y. Choi, Beom Jun Kim
We investigate collective synchronization in a system of coupled oscillators on small-world networks. The order parameters which measure synchronization of phases and frequencies a…
Double stochastic resonance peaks in systems with dynamic phase transitions
Beom Jun Kim, Petter Minnhagen, Hyun Jin Kim +2
To probe the connection between the dynamic phase transition and stochastic resonance, we study the mean-field kinetic Ising model and the two-dimensional Josephson-junction array…
Relaxational dynamics study of the classical Heisenberg spin XY model in spherical coordinate representation
Beom Jun Kim, Petter Minnhagen, Suhk Kun Oh +1
The two- and three-dimensional classical Heisenberg spin XY (CHSXY) models, with the spherical coordinates of spins taken as dynamic variables, are numerically investigated. We all…
Ubiquitous finite-size scaling features in IV characteristics of various dynamic XY models in two dimensions
Kateryna Medvedyeva, Beom Jun Kim, Petter Minnhagen
Two-dimensional (2D) XY model subject to three different types of dynamics, namely Monte Carlo, resistivity shunted junction (RSJ), and relaxational dynamics, is numerically simula…