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Marcone J, Chaâbani W, Goldmann C, Impéror-Clerc M, Constantin D, Hamon C. Polymorphous Packing of Pentagonal Nanoprisms. NANO LETTERS 2023; 23:1337-1342. [PMID: 36763510 DOI: 10.1021/acs.nanolett.2c04541] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/18/2023]
Abstract
Packing solid shapes into regular lattices can yield very complex assemblies, not all of which achieve the highest packing fraction. In two dimensions, the regular pentagon is paradigmatic, being the simplest shape that does not pave the plane completely. In this work, we demonstrate the packing of plasmonic nanoprisms with pentagonal cross section, which form extended supercrystals. We do encounter the long-predicted ice-ray and Dürer packings (with packing fractions of 0.921 and 0.854, respectively) but also a variety of novel polymorphs that can be obtained from these two configurations by a continuous sliding transformation and exhibit an intermediate packing fraction. Beyond the fundamental interest of this result, fine control over the density and symmetry of such plasmonic assemblies opens the perspective of tuning their optical properties, with potential applications in metamaterial fabrication, catalysis, or molecular detection.
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Affiliation(s)
- Jules Marcone
- Laboratoire de Physique des Solides, CNRS and Université Paris-Saclay, 91400 Orsay, France
| | - Wajdi Chaâbani
- Laboratoire de Physique des Solides, CNRS and Université Paris-Saclay, 91400 Orsay, France
| | - Claire Goldmann
- Laboratoire de Physique des Solides, CNRS and Université Paris-Saclay, 91400 Orsay, France
| | - Marianne Impéror-Clerc
- Laboratoire de Physique des Solides, CNRS and Université Paris-Saclay, 91400 Orsay, France
| | - Doru Constantin
- Institut Charles Sadron, CNRS and Université de Strasbourg, 67034 Strasbourg, France
| | - Cyrille Hamon
- Laboratoire de Physique des Solides, CNRS and Université Paris-Saclay, 91400 Orsay, France
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2
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Amirifar R, Dong K, Yu A. Ordered packing of uniform spheres via random packing protocol. POWDER TECHNOL 2022. [DOI: 10.1016/j.powtec.2022.117853] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
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3
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Akimenko SS, Myshlyavtsev AV, Myshlyavtseva MD, Gorbunov VA, Podgornyi SO, Solovyeva OS. Triangles on a triangular lattice: Insights into self-assembly in two dimensions driven by shape complementarity. Phys Rev E 2022; 105:044104. [PMID: 35590604 DOI: 10.1103/physreve.105.044104] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/28/2021] [Accepted: 03/07/2022] [Indexed: 06/15/2023]
Abstract
A series of models for reversible filling of a triangular lattice with equilateral triangles has been developed and investigated. There are eight distinct models that vary in the set of prohibitions. In zeroth approximation, these models allow one to estimate the influence of the particles' shape and complementarity of their pair configurations on the self-assembly of dense monolayers formed by reversible filling. The most symmetrical models were found to be equivalent to hard-disk models on the hexagonal lattice. When any contact of hard triangles by vertices is prohibited, the dense monolayers are disordered, and their entropy tends to the constant. If only one pair configuration is prohibited, the close-packed layer appears through the continuous phase transition. In other cases, the weak first-order transition resulting in the self-assembly of close-packed layers is observed.
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Affiliation(s)
- S S Akimenko
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Avenue 11, Omsk 644050, Russian Federation
| | - A V Myshlyavtsev
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Avenue 11, Omsk 644050, Russian Federation
| | - M D Myshlyavtseva
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Avenue 11, Omsk 644050, Russian Federation
| | - V A Gorbunov
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Avenue 11, Omsk 644050, Russian Federation
| | - S O Podgornyi
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Avenue 11, Omsk 644050, Russian Federation
| | - O S Solovyeva
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Avenue 11, Omsk 644050, Russian Federation
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Fazelpour F, Tang Z, Daniels KE. The effect of grain shape and material on the nonlocal rheology of dense granular flows. SOFT MATTER 2022; 18:1435-1442. [PMID: 35080563 DOI: 10.1039/d1sm01237a] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Nonlocal rheologies allow for the modeling of granular flows from the creeping to intermediate flow regimes, using a small number of parameters. In this paper, we report on experiments testing how particle properties affect the model parameters used in the Kamrin & Koval cooperative nonlocal model, using particles of three different shapes (circles, ellipses, and pentagons) and three different materials, including one which allows for the measurement of stresses via photoelasticity. Our experiments are performed on a quasi-2D annular shear cell with a rotating inner wall and a fixed outer wall. Each type of particle is found to exhibit flows which are well-fit by nonlocal rheology, with each particle having a distinct triad of the local, nonlocal, and frictional parameters. While the local parameter b is always approximately unity, the nonlocal parameter A depends sensitively on both the particle shape and material. The critical stress ratio μs, above which Coulomb failure occurs, varies for particles with the same material but different shape, indicating that geometric friction can dominate over material friction.
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Affiliation(s)
- Farnaz Fazelpour
- Department of Physics, North Carolina State University, Raleigh, NC, USA.
| | - Zhu Tang
- Department of Physics, North Carolina State University, Raleigh, NC, USA.
| | - Karen E Daniels
- Department of Physics, North Carolina State University, Raleigh, NC, USA.
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Huang C, Huang Q. Coordination number and thermal conductivity predictions in hybrid-particle packed beds. POWDER TECHNOL 2022. [DOI: 10.1016/j.powtec.2022.117196] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Song S, Rong L, Dong K, Liu X, Le-Clech P, Shen Y. Pore-scale numerical study of intrinsic permeability for fluid flow through asymmetric ceramic microfiltration membranes. J Memb Sci 2022. [DOI: 10.1016/j.memsci.2021.119920] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Kozlowski R, Zheng H, Daniels KE, Socolar JES. Stress propagation in locally loaded packings of disks and pentagons. SOFT MATTER 2021; 17:10120-10127. [PMID: 34726678 DOI: 10.1039/d1sm01137e] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
The mechanical strength and flow of granular materials can depend strongly on the shapes of individual grains. We report quantitative results obtained from photoelasticimetry experiments on locally loaded, quasi-two-dimensional granular packings of either disks or pentagons exhibiting stick-slip dynamics. Packings of pentagons resist the intruder at significantly lower packing fractions than packings of disks, transmitting stresses from the intruder to the boundaries over a smaller spatial extent. Moreover, packings of pentagons feature significantly fewer back-bending force chains than packings of disks. Data obtained on the forward spatial extent of stresses and back-bending force chains collapse when the packing fraction is rescaled according to the packing fraction of steady state open channel formation, though data on intruder forces and dynamics do not collapse. We comment on the influence of system size on these findings and highlight connections with the dynamics of the disks and pentagons during slip events.
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Affiliation(s)
- Ryan Kozlowski
- Department of Physics, Duke University, Durham, North Carolina 27708, USA.
| | - Hu Zheng
- Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China
| | - Karen E Daniels
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
| | - Joshua E S Socolar
- Department of Physics, Duke University, Durham, North Carolina 27708, USA.
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Kozlowski R, Zheng H, Daniels KE, Socolar JES. Particle dynamics in two-dimensional point-loaded granular media composed of circular or pentagonal grains. EPJ WEB OF CONFERENCES 2021. [DOI: 10.1051/epjconf/202124906010] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Granular packings exhibit significant changes in rheological and structural properties when the rotational symmetry of spherical or circular particles is broken. Here, we report on experiments exploring the differences in dynamics of a grain-scale intruder driven through a packing of either disks or pentagons, where the presence of edges and vertices on grains introduces the possibility of rotational constraints at edge-edge contacts. We observe that the intruder’s stick-slip dynamics are comparable between the disk packing near the frictional jamming fraction and the pentagonal packing at significantly lower packing fractions. We connect this stark contrast in packing fraction with the average speed and rotation fields of grains during slip events, finding that rotation of pentagons is limited and the flow of pentagonal grains is largely confined in front of the intruder, whereas disks rotate more on average and circulate around the intruder to fill the open channel behind it. Our results indicate that grain-scale rotation constraints significantly modify collective motion of grains on mesoscopic scales and correspondingly enhance resistance to penetration of a local intruder.
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Arifuzzaman S, Dong K, Hou Q, Zhu H, Zeng Q. Explicit contact force model for superellipses by Fourier transform and application to superellipse packing. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2019.10.018] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Structure analysis on the packing of ellipsoids under one-dimensional vibration and periodic boundary conditions. POWDER TECHNOL 2018. [DOI: 10.1016/j.powtec.2018.05.032] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Kildashti K, Dong K, Samali B, Zheng Q, Yu A. Evaluation of contact force models for discrete modelling of ellipsoidal particles. Chem Eng Sci 2018. [DOI: 10.1016/j.ces.2017.11.004] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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VanderWerf K, Jin W, Shattuck MD, O'Hern CS. Hypostatic jammed packings of frictionless nonspherical particles. Phys Rev E 2018; 97:012909. [PMID: 29448406 PMCID: PMC6295208 DOI: 10.1103/physreve.97.012909] [Citation(s) in RCA: 36] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/25/2017] [Indexed: 11/07/2022]
Abstract
We perform computational studies of static packings of a variety of nonspherical particles including circulo-lines, circulo-polygons, ellipses, asymmetric dimers, dumbbells, and others to determine which shapes form packings with fewer contacts than degrees of freedom (hypostatic packings) and which have equal numbers of contacts and degrees of freedom (isostatic packings), and to understand why hypostatic packings of nonspherical particles can be mechanically stable despite having fewer contacts than that predicted from naive constraint counting. To generate highly accurate force- and torque-balanced packings of circulo-lines and cir-polygons, we developed an interparticle potential that gives continuous forces and torques as a function of the particle coordinates. We show that the packing fraction and coordination number at jamming onset obey a masterlike form for all of the nonspherical particle packings we studied when plotted versus the particle asphericity A, which is proportional to the ratio of the squared perimeter to the area of the particle. Further, the eigenvalue spectra of the dynamical matrix for packings of different particle shapes collapse when plotted at the same A. For hypostatic packings of nonspherical particles, we verify that the number of "quartic" modes along which the potential energy increases as the fourth power of the perturbation amplitude matches the number of missing contacts relative to the isostatic value. We show that the fourth derivatives of the total potential energy in the directions of the quartic modes remain nonzero as the pressure of the packings is decreased to zero. In addition, we calculate the principal curvatures of the inequality constraints for each contact in circulo-line packings and identify specific types of contacts with inequality constraints that possess convex curvature. These contacts can constrain multiple degrees of freedom and allow hypostatic packings of nonspherical particles to be mechanically stable.
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Affiliation(s)
- Kyle VanderWerf
- Department of Physics, Yale University, New Haven, Connecticut 06520, USA
| | - Weiwei Jin
- Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China
- Department of Mechanical Engineering & Materials Science, Yale University, New Haven, Connecticut 06520, USA
| | - Mark D Shattuck
- Benjamin Levich Institute and Physics Department, The City College of New York, New York, New York 10031, USA
| | - Corey S O'Hern
- Department of Physics, Yale University, New Haven, Connecticut 06520, USA
- Department of Mechanical Engineering & Materials Science, Yale University, New Haven, Connecticut 06520, USA
- Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
- Graduate Program in Computational Biology and Bioinformatics, Yale University, New Haven, Connecticut 06520, USA
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An X, Huang F, Dong K, Yang X. DEM simulation of binary sphere packing densification under vertical vibration. PARTICULATE SCIENCE AND TECHNOLOGY 2017. [DOI: 10.1080/02726351.2017.1292335] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Xizhong An
- School of Metallurgy, Northeastern University, Shenyang, P R China
| | - Fei Huang
- School of Metallurgy, Northeastern University, Shenyang, P R China
| | - Kejun Dong
- Institute for Infrastructure Engineering, Western Sydney University, Penrith, NSW, Australia
| | - Xiaohong Yang
- School of Metallurgy, Northeastern University, Shenyang, P R China
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15
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Liu X, Wang L, Ge W. Meso-scale statistical properties of gas-solid flow-a direct numerical simulation (DNS) study. AIChE J 2016. [DOI: 10.1002/aic.15489] [Citation(s) in RCA: 40] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Xiaowen Liu
- State Key Laboratory of Multiphase Complex Systems; Institute of Process Engineering, Chinese Academy of Sciences; Beijing 100190 P.R. China
- University of Chinese Academy of Sciences; Beijing 100049 P.R. China
| | - Limin Wang
- State Key Laboratory of Multiphase Complex Systems; Institute of Process Engineering, Chinese Academy of Sciences; Beijing 100190 P.R. China
| | - Wei Ge
- State Key Laboratory of Multiphase Complex Systems; Institute of Process Engineering, Chinese Academy of Sciences; Beijing 100190 P.R. China
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