Hyperuniformity on spherical surfaces

We study and characterize local density fluctuations of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to date few works have dealt with the problem of hyperuniformity in...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Meyra, Ariel Germán, Zarragoicoechea, Guillermo Jorge, Maltz, Alberto Leonardo, Lomba, Enrique, Torquato, Salvatore
Formato: Articulo
Lenguaje:Inglés
Publicado: 2019
Materias:
Física
Physics
Statistical physics
Euclidean geometry
Focus (optics)
Spherical cap
Point (geometry)
Function (mathematics)
Particle number
Scaling
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124863
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-124863
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Physics
Statistical physics
Euclidean geometry
Focus (optics)
Spherical cap
Point (geometry)
Function (mathematics)
Particle number
Scaling
spellingShingle Física
Physics
Statistical physics
Euclidean geometry
Focus (optics)
Spherical cap
Point (geometry)
Function (mathematics)
Particle number
Scaling
Meyra, Ariel Germán
Zarragoicoechea, Guillermo Jorge
Maltz, Alberto Leonardo
Lomba, Enrique
Torquato, Salvatore
Hyperuniformity on spherical surfaces
topic_facet Física
Physics
Statistical physics
Euclidean geometry
Focus (optics)
Spherical cap
Point (geometry)
Function (mathematics)
Particle number
Scaling
description We study and characterize local density fluctuations of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to date few works have dealt with the problem of hyperuniformity in curved spaces. Indeed, some systems that display disordered hyperuniformity, like the spatial distribution of photoreceptors in avian retina, actually occur on curved surfaces. Here we will focus on the local particle number variance and its dependence on the size of the sampling window (which we take to be a spherical cap) for regular and uniform point distributions, as well as for equilibrium configurations of fluid particles interacting through Lennard-Jones, dipole-dipole, and charge-charge potentials. We show that the scaling of the local number variance as a function of the window size enables one to characterize hyperuniform and nonhyperuniform point patterns also on spherical surfaces.
format Articulo
Articulo
author Meyra, Ariel Germán
Zarragoicoechea, Guillermo Jorge
Maltz, Alberto Leonardo
Lomba, Enrique
Torquato, Salvatore
author_facet Meyra, Ariel Germán
Zarragoicoechea, Guillermo Jorge
Maltz, Alberto Leonardo
Lomba, Enrique
Torquato, Salvatore
author_sort Meyra, Ariel Germán
title Hyperuniformity on spherical surfaces
title_short Hyperuniformity on spherical surfaces
title_full Hyperuniformity on spherical surfaces
title_fullStr Hyperuniformity on spherical surfaces
title_full_unstemmed Hyperuniformity on spherical surfaces
title_sort hyperuniformity on spherical surfaces
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/124863
work_keys_str_mv AT meyraarielgerman hyperuniformityonsphericalsurfaces
AT zarragoicoecheaguillermojorge hyperuniformityonsphericalsurfaces
AT maltzalbertoleonardo hyperuniformityonsphericalsurfaces
AT lombaenrique hyperuniformityonsphericalsurfaces
AT torquatosalvatore hyperuniformityonsphericalsurfaces
bdutipo_str Repositorios
_version_ 1764820451230482433

Ejemplares similares