Phase behavior of hard circular arcs

By using Monte Carlo numerical simulation, this work investigates the phase behavior of systems of hard infinitesimally thin circular arcs, from an aperture angle θ → 0 to an aperture angle θ → 2π, in the twodimensional Euclidean space. Except in the isotropic phase at lower density and in the (quas...

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Detalles Bibliográficos
Autores: Ramírez González, Juan Pedro, Cinacchi, Giorgio
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/705586
Acceso en línea:http://hdl.handle.net/10486/705586
https://dx.doi.org/10.1103/PhysRevE.104.054604
Access Level:acceso abierto
Palabra clave:Aperture Angle
Centers-of-Mass
Circular Arc
Form Clusters
Isotropic Phasis
Lower Density
Monte Carlo Numerical Simulations
Nematic Phasis
Thin Circulars
Two Dimensional Euclidean Spaces
Física
Descripción
Sumario:By using Monte Carlo numerical simulation, this work investigates the phase behavior of systems of hard infinitesimally thin circular arcs, from an aperture angle θ → 0 to an aperture angle θ → 2π, in the twodimensional Euclidean space. Except in the isotropic phase at lower density and in the (quasi)nematic phase, in the other phases that form, including the isotropic phase at higher density, hard infinitesimally thin circular arcs autoassemble to form clusters. These clusters are either filamentous, for smaller values of θ, or roundish, for larger values of θ. Provided the density is sufficiently high, the filaments lengthen, merge, and straighten to finally produce a filamentary phase while the roundels compact and dispose themselves with their centers of mass at the sites of a triangular lattice to finally produce a cluster hexagonal phase