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Free energy of a chemotactic model with nonlinear diffusion
Seung Ki Baek, Beom Jun Kim
The Patlak-Keller-Segel equation is a canonical model of chemotaxis to describe self-organized aggregation of organisms interacting with chemical signals. We investigate a variant…
Winding number excitation detects phase transition in one-dimensional XY model with variable interaction range
Hyunsuk Hong, Beom Jun Kim
We numerically study the critical behavior of the one-dimensional XY model of the size N with variable interaction range L. As expected, the standard local order parameter of the m…
Anomalous response in the vicinity of spontaneous symmetry breaking
Seung Ki Baek, Hye Jin Park, Beom Jun Kim
We propose a mechanism to induce negative AC permittivity in the vicinity of a ferroelectric phase transition involved with spontaneous symmetry breaking. This mechanism makes use…
Theory of fads: Traveling-wave solution of evolutionary dynamics in a one-dimensional trait space
Mi Jin Lee, Su Do Yi, Beom Jun Kim +1
We consider an infinite-sized population where an infinite number of traits compete simultaneously. The replicator equation with a diffusive term describes time evolution of the pr…
Stochastic resonance in the two-dimensional q-state clock models
Hye Jin Park, Seung Ki Baek, Beom Jun Kim
We numerically study stochastic resonance in the two-dimensional q-state clock models from q = 2 to 7 under a weak oscillating magnetic field. As in the mean-field case, we observe…
Finite-Time-Finite-Size Scaling of the Kuramoto Oscillators
Mi Jin Lee, Su Do Yi, Beom Jun Kim
Phase transition in its strict sense can only be observed in an infinite system, for which equilibration takes an infinitely long time at criticality. In numerical simulations, we…