Thermodynamical Properties of a Two-Dimensional Quasi-Crystal from Molecular Dynamics Calculations

We propose a simple decoration of the Penrose tiling to produce a two-dimensional quasi-crystalline model. We have used molecular dynamics simulation to invesigate the stability and the phase transitions of this system. Stable with pair potentials, it undergoes a first-order transition to the liquid phase. Its enthalpy is below the enthalpy of the quenched glassy state.