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We present evidence for a novel finite-temperature phase transition in the phason elasticity of quasicrystals. A tiling model for energetically stabilized decagonal quasicrystals has been studied in an extensive series of Monte Carlo simulation. Hamiltonian (energetics) of the model is given by nearestneighbor Penrose-like matching rules between three… (More)

- Hyeong-Chai Jeong, Seung-Yoon Oh, Benjamin Allen, Martin A Nowak
- Journal of theoretical biology
- 2014

We study stochastic evolution of optional games on simple graphs. There are two strategies, A and B, whose interaction is described by a general payoff matrix. In addition, there are one or several possibilities to opt out from the game by adopting loner strategies. Optional games lead to relaxed social dilemmas. Here we explore the interaction between… (More)

We present two sets of rules for constructing quasiperiodic tilings that suggest a simpler structural model of quasicrystals and a more plausible explanation of why quasicrystals form. First, we show that quasiperiodic tilings can be constructed from a single prototile with matching rules which constrain the way that neighbors can overlap. Second, we show… (More)

We relate properties of an anisotropic continuum model of a two-dimensional vicinal surface to those of a model with fluctuating and interacting steps. We show that analysis of the fluctuations of an individual step in the array provides information about the length scale on which the surface has reached equilibrium and can be used to estimate fundamental… (More)

- Hang-Hyun Jo, Hyeong-Chai Jeong
- Physical review letters
- 2010

- Jae Dong Noh, Hyeong-Chai Jeong, Yong-Yeol Ahn, Hawoong Jeong
- Physical review. E, Statistical, nonlinear, and…
- 2005

We propose a growing network model for a community with a group structure. The community consists of individual members and groups, gatherings of members. The community grows as a new member is introduced by an existing member at each time step. The new member then creates a new group or joins one of the groups of the introducer. We investigate the emerging… (More)

- Mikael C Rechtsman, Hyeong-Chai Jeong, Paul M Chaikin, Salvatore Torquato, Paul J Steinhardt
- Physical review letters
- 2008

A photonic quasicrystal consists of two or more dielectric materials arranged in a quasiperiodic pattern with noncrystallographic symmetry that has a photonic band gap. We use a novel method to find the pattern with the widest TM-polarized gap for two-component materials. Patterns are obtained by computing a finite sum of density waves, assigning regions… (More)

- Seung Ki Baek, Hyeong-Chai Jeong, Christian Hilbe, Martin A Nowak
- Scientific reports
- 2016

Direct reciprocity is a mechanism for the evolution of cooperation based on repeated interactions. When individuals meet repeatedly, they can use conditional strategies to enforce cooperative outcomes that would not be feasible in one-shot social dilemmas. Direct reciprocity requires that individuals keep track of their past interactions and find the right… (More)

- Hyeong-Chai Jeong
- Physical review letters
- 2007

A local growth algorithm for a decagonal quasicrystal is presented. We show that a perfect Penrose tiling (PPT) layer can be grown on a decapod tiling layer by a three dimensional (3D) local rule growth. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystalline… (More)

- Franz Gg Ahler, Hyeong-Chai Jeong
- 1995

A simple, local cluster interaction is presented, which has as (only) ground states perfectly quasicrystalline tilings from a single local iso-morphism class. Since these tilings do not allow for any perfect matching rules, it is thereby shown that the class of structures which are the ground state of some nite range interaction is considerably larger than… (More)