Two-dimensional system with a quasi-crystalline ground state
نویسندگان
چکیده
2014 We study dense packings of particles with interactions favouring pentagonal symmetry. Such structures can be obtained by decorations of Penrose tilings or directly with a cut-and-projection method. We prove that they form the degenerated ground-state in the case of pair potentials limited to first neighbours and for interaction strength parameters lying in broad ranges of values. Cooling runs from the liquid, simulated by molecular dynamics, produce either a glassy state or a quasi-crystalline state depending on the quenching rate. J. Phys. France 49 (1988) 249-256 FTVRIER 1988,
منابع مشابه
Calculation of Quasi-one-dimensional Interacting Electron Gas Using the Hartree-Fock Method
In this paper, the Hartree-Fock method has been formulated to investigate some of the ground state properties of quasi-one-dimensional interacting electron gas in the presence of the magnetic field. The bare coulomb interaction between electrons has been assumed. For this system, we have also computed some of its thermodynamic and magnetic properties such as the energy, pressure, incompressibil...
متن کاملCalculation of Thermodynamic Properties of the Quasi-one Dimensional Liquid 3He at Finite Temperature
We have used a variational approach to calculate some thermodynamic properties of the quasi-one dimensional liquid 3He such as the energy, entropy, free energy, equation of state and heat capacity at finite temperature. We have employed the Lennard-Jones potential as the inter-atomic interaction. We have seen that the total energy increases by increasing both temperature and density....
متن کاملGross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement
Ground states and dynamical properties of a dipolar Bose–Einstein condensate are analyzed based on the Gross–Pitaevskii–Poisson system (GPPS) and its dimension reduction models under an anisotropic confining potential. We begin with the three-dimensional (3D) GPPS and review its quasi-two-dimensional (2D) approximate equations when the trap is strongly confined in the z-direction and quasi-one-...
متن کاملCrystalline Symmetry and Surface Tension
The fundamental mechanisms causing crystalline symmetry in matter at low temperature and pressure are not yet understood’), though there has been some recent progress”‘4. In particular in”,“) we considered two-dimensional models of particles interacting through a two body force consisting of a hard core and short range attraction (modelling a molecular force). One expects the ground state of su...
متن کاملGround state of magnetic dipoles on a two-dimensional lattice: structural phases in complex plasmas.
We study analytically and by molecular dynamics simulations the ground state configuration of a system of magnetic dipoles fixed on a two-dimensional lattice. We find different phases, in close agreement with previous results. Building on this result and on the minimum energy requirement we determine the equilibrium lattice configuration, the magnetic order (ferromagnetic versus antiferromagnet...
متن کامل