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Evolution of popularity in given names
Mi Jin Lee, Woo Seong Jo, Il Gu Yi +2
An individual's identity in a human society is specified by his or her name. Differently from family names, usually inherited from fathers, a given name for a child is often chosen…
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…