Universal hidden order in amorphous cellular geometries (CROSBI ID 264584)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Klatt, M.A ; Lovrić, Jakov ; Chen, Duyu ; Kapfer C. Sebastian, Schaller, M. Fabian ; Schönhöfer W. A. Phillipp ; Gardiner, S. Bruce ; Smith, Ana- Sunčana ; Schröder-Turk, E. Gerd ; Torguato, Salvatore
engleski
Universal hidden order in amorphous cellular geometries
Partitioning space into cells with certain extreme geometrical properties is a central problem in many fields of science and technology. Here we investigate the Quantizer problem, defined as the optimisation of the moment of inertia of Voronoi cells, i.e., similarly-sized ‘sphere-like’ polyhedra that tile space are preferred. We employ Lloyd’s centroidal Voronoi diagram algorithm to solve this problem and find that it converges to disordered states associated with deep local minima. These states are universal in the sense that their structure factors are characterised by a complete independence of a wide class of initial conditions they evolved from. They moreover exhibit an anomalous suppression of long-wavelength density fluctuations and quickly become effectively hyperuniform. Our findings warrant the search for novel amorphous hyperuniform phases and cellular materials with unique physical properties.
geometrical properties ; cells
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
Povezanost rada
Fizika, Interdisciplinarne prirodne znanosti, Matematika