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- Institute for Basic ScienceKR7 papers
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7 papers · 1 filter
Analytical Survival Analysis of the Non-autonomous Ornstein-Uhlenbeck Process
L. T. Giorgini, W. Moon, J. S. Wettlaufer
The survival probability for a periodic non-autonomous Ornstein-Uhlenbeck process is calculated analytically using two different methods. The first uses an asymptotic approach. We…
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…
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…
Quantum Isothermal Reversible Process of Particles in a Box with a Delta Potential
Minho Park, Su Do Yi, Seung Ki Baek
For an understanding of a heat engine working in the microscopic scale, it is often necessary to estimate the amount of reversible work extracted by isothermal expansion of the qua…
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…