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Neutral theory of chemical reaction networks
Sang Hoon Lee, Sebastian Bernhardsson, Petter Holme +2
To what extent do the characteristic features of a chemical reaction network reflect its purpose and function? In general, one argues that correlations between specific features an…
Quantum Monte Carlo study of the transverse-field quantum Ising model on infinite-dimensional structures
Seung Ki Baek, Jaegon Um, Su Do Yi +1
In a number of classical statistical-physical models, there exists a characteristic dimensionality called the upper critical dimension above which one observes the mean-field criti…
Critical condition of the water-retention model
Seung Ki Baek, Beom Jun Kim
We study how much water can be retained without leaking through boundaries when each unit square of a two-dimensional lattice is randomly assigned a block of unit bottom area but w…
Ising model on a hyperbolic plane with a boundary
Seung Ki Baek, Harri Mäkelä, Petter Minnhagen +1
A hyperbolic plane can be modeled by a structure called the enhanced binary tree. We study the ferromagnetic Ising model on top of the enhanced binary tree using the renormalizatio…
The Ten Thousand Kims
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
In the Korean culture the family members are recorded in special family books. This makes it possible to follow the distribution of Korean family names far back in history. It is h…
Dissolution of traffic jam via additional local interactions
Hyun Keun Lee, Beom Jun Kim
We use a cellular automata approach to numerically investigate traffic flow patterns on a single lane. The free-flow phase (F), the synchronized phase (S), and the jam phase (J) ar…
Antiphase synchronization of two nonidentical pendulums
Il Gu Yi, Hyun Keun Lee, Sung Hyun Jeon +1
We numerically study the synchronization of two nonidentical pendulum motions, pivoting on a common movable frame in the point of view of the dynamic phase transition. When the dif…
Comment on "Phase transition in a one-dimensional Ising ferromagnet at zero temperature using Glauber dynamics with a synchronous updating mode"
Il Gu Yi, Beom Jun Kim
Sznajd-Weron in [Phys. Rev. E {\bf 82}, 031120 (2010)] suggested that the one-dimensional Ising model subject to the zero temperature synchronous Glauber dynamics exhibits a discon…
Synchronization in interdependent networks
Jaegon Um, Petter Minnhagen, Beom Jun Kim
We explore the synchronization behavior in interdependent systems, where the one-dimensional (1D) network (the intranetwork coupling strength ) is ferromagnetically inte…
Critical temperatures of the three- and four-state Potts models on the kagome lattice
Seung Ki Baek, Harri Mäkelä, Petter Minnhagen +1
The value of the internal energy per spin is independent of the strip width for a certain class of spin systems on two dimensional infinite strips. It is verified that the Ising mo…
Kosterlitz-Thouless transition of magnetic dipoles on the two-dimensional plane
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
The universality class of a phase transition is often determined by factors like dimensionality and inherent symmetry. We study the magnetic dipole system in which the ground-state…
Continuity of the Explosive Percolation Transition
Hyun Keun Lee, Beom Jun Kim, Hyunggyu Park
The explosive percolation problem on the complete graph is investigated via extensive numerical simulations. We obtain the cluster-size distribution at the moment when the cluster…