Voronoi Tessellation in Model Glass Systems
نویسنده
چکیده
Numerical Vorono tessellation is used to investigate the mechanisms of frustration in some model glass systems. First, random packings of 8192 hard spheres of increasing volume fraction c are built in the at three dimensional space using an eecient computer algorithm. Their Vorono statistics evolves with c as if the system would like to reach a pure icosahe-dral order when extrapolating the volume fraction above the Bernal limit c b ' 0:645. Second, this study is extended in curved space, the sphere S 3. When decurving the space by increasing the number N of spheres, the most compact packings converge to the Bernal packing. For particular N values, the volume fractions exhibit maxima corresponding to narrower histograms for the number of edges of Vorono polyhedra faces. Third, super-cooled liquid and glass samples of 1000 atoms are generated at diierent temperatures T after a quench from the liquid state, using classical micro-canonical molecular dynamics with a simple soft-sphere potential. When decreasing T, the ideal icosahedral order appears again as an extrapolated situation which cannot be realized due to geometrical frustration.
منابع مشابه
Distinct element modelling of the mechanical behaviour of intact rocks using voronoi tessellation model
This paper aims to study the mechanical behaviour and failure mechanism of intact rocks under different loading conditions using the grain based model implemented in the universal distinct element code (UDEC). The grain based numerical model is a powerful tool to investigate complicated micro-structural mechanical behaviour of rocks. In the UDEC grain based model, the intact material is simulat...
متن کاملBayesian analysis of spatial point processes in the neighbourhood of Voronoi networks
A model for an inhomogeneous Poisson process with high intensity near the edges of a Voronoi tessellation in 2D or 3D is proposed. The model is analysed in a Bayesian setting with priors on nuclei of the Voronoi tessellation and other model parameters. An MCMC algorithm is constructed to sample from the posterior, which contains information about the unobserved Voronoi tessellation and the mode...
متن کاملThe glass transition in a simple model glass: numerical simulations
In order to improve our understanding of the glass transition we performed constant-energy molecular dynamics simulations on a soft-sphere system quenched from the liquid state to zero temperature. The temperature dependence of static (radial pair distribution function) and dynamic quantities (self-diiusion constant) has been investigated together with the temperature evolution of relevant stru...
متن کاملModeling South African Informal Settlements Using Procedural Techniques
The formation of informal settlements in and around urban complexes has largely been ignored in the context of procedural city modeling. However, many cities in South Africa and globally can attest to the presence of such settlements. This paper analyses the phenomenon of informal settlements from a procedural modeling perspective. Aerial photography from two South African urban complexes, name...
متن کاملImage Processing using Voronoi diagrams
1 This work has been partially supported by grant TIN2005-08863-C03 of the Spanish Ministry of Science and Education 2 Corresponding address: [email protected] Abstract – In this paper we present some techniques for obtaining non-photorealistc images with the aid of Voronoi diagrams, such as stained-glass images. We also show examples of their potential applications, including lossy image ...
متن کامل