Bidispersity; Disorder degree; Large particles; Magnet particles; Magnetic dipole-dipole interaction; Many-particle systems; Small particles; Standard deviation; Two-dimensional magnet; Voronoi cell; Physics and Astronomy (all); Physical and Theoretical Chemistry; Physics - Soft Condensed Matter; General Physics and Astronomy
Abstract :
[en] In various types of many-particle systems, bidispersity is frequently used to avoid spontaneous ordering in particle configurations. In this study, the relation between bidispersity and disorder degree of particle configurations is investigated. By using magnetic dipole-dipole interaction, magnet particles are dispersed in a two-dimensional cell without any physical contact between them. In this magnetic system, bidispersity is introduced by mixing large and small magnets. Then, the particle system is compressed to produce a uniform particle configuration. The compressed particle configuration is analyzed by using Voronoi tessellation for evaluating the disorder degree, which strongly depends on bidispersity. Specifically, the standard deviation and skewness of the Voronoi cell area distribution are measured. As a result, we find that the peak of standard deviation is observed when the numbers of large and small particles are almost identical. Although the skewness shows a non-monotonic behavior, a zero skewness state (symmetric distribution) can be achieved when the numbers of large and small particles are identical. In this ideally random (disordered) state, the ratio between pentagonal, hexagonal, and heptagonal Voronoi cells becomes roughly identical, while hexagons are dominant under monodisperse (ordered) conditions. The relation between Voronoi cell analysis and the global bond orientational order parameter is also discussed.
Disciplines :
Physics
Author, co-author :
Tsuchikusa, K; Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan
Yamamoto, K ; Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan ; Water Frontier Research Center (WaTUS), Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan
Katsura, M; Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan
de Paula, C T ; Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF 70910-900, Brazil
Modesto, J A C ; Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF 70910-900, Brazil
Dorbolo, Stéphane ; Université de Liège - ULiège > Département de physique > Physique statistique
Pacheco-Vázquez, F ; Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570 Puebla, Mexico
Sobral, Y D ; Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF 70910-900, Brazil
Katsuragi, H ; Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan
Language :
English
Title :
Disordering two-dimensional magnet-particle configurations using bidispersity.
JSPS - Japan Society for the Promotion of Science [JA] FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE] FAPDF - Fundação de Apoio à Pesquisa do Distrito Federal [BR]
Funding text :
This work was partially supported by JSPS KAKENHI Grant Nos. 18H03679 and 23H04134. S.D. acknowledges F.R.S.-FNRS for the financial support as a senior research associate. Y.D.S. acknowledges FAP-DF Project No. 00193-00001155/2021-40 for the financial support.
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