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Original Articles

Complex alloy phases for binary hard-disc mixtures

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Pages 85-113 | Received 11 Dec 1992, Accepted 05 Mar 1993, Published online: 20 Aug 2006

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Pankaj Mishra, Manjori Mukherjee & Sanat Kumar. (2016) Phase diagram of two-dimensional binary Yukawa mixtures. Molecular Physics 114:6, pages 741-756.
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M. Fátima Vaz, S.J. Cox & P.I.C. Teixeira. (2011) Cyclic deformation of bidisperse two-dimensional foams. Philosophical Magazine 91:34, pages 4345-4356.
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C. Quilliet, S. Ataei Talebi, D. Rabaud, J. Käfer, S.J. Cox & F. Graner. (2008) Topological and geometrical disorders correlate robustly in two-dimensional foams. Philosophical Magazine Letters 88:9-10, pages 651-660.
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H.M. Cataldo. (1999) Stability of a hard-sphere binary quasicrystal. Philosophical Magazine B 79:10, pages 1603-1613.
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Articles from other publishers (77)

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Thomas Fernique. (2023) Density of binary disc packings: Playing with stoichiometry. Journal of Combinatorial Theory, Series A 194, pages 105690.
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Miek Messerschmidt. (2023) The Number of Configurations of Radii that Can Occur in Compact Packings of the Plane with Discs of n Sizes is Finite. Discrete & Computational Geometry.
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Lars Kool, Patrick Charbonneau & Karen E. Daniels. (2022) Gardner-like crossover from variable to persistent force contacts in granular crystals. Physical Review E 106:5.
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Samuel Lopez-Godoy, Pedro Díaz-Leyva & Anna Kozina. (2022) Self-assembly in binary mixtures of spherical colloids. Advances in Colloid and Interface Science 308, pages 102748.
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Marianne Impéror-Clerc, Anuradha Jagannathan, Pavel Kalugin & Jean-François Sadoc. (2021) Square-triangle tilings: an infinite playground for soft matter. Soft Matter 17:42, pages 9560-9575.
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Ivonne Elizabeth Ventura Rosales, Lorenzo Rovigatti, Emanuela Bianchi, Christos N. Likos & Emanuele Locatelli. (2020) Shape control of soft patchy nanoparticles under confinement. Nanoscale 12:41, pages 21188-21197.
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Valeria Lotito & Tomaso Zambelli. (2020) Pattern detection in colloidal assembly: A mosaic of analysis techniques. Advances in Colloid and Interface Science 284, pages 102252.
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Zonglin Yi & To Ngai. (2020) Anomalous Long-Range Attraction in Colloidal Binary Mixtures at Fluid–Fluid Interfaces. Colloids and Interfaces 4:3, pages 36.
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Etienne Fayen, Anuradha Jagannathan, Giuseppe Foffi & Frank Smallenburg. (2020) Infinite-pressure phase diagram of binary mixtures of (non)additive hard disks. The Journal of Chemical Physics 152:20.
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Lotito & Zambelli. (2019) A Journey Through the Landscapes of Small Particles in Binary Colloidal Assemblies: Unveiling Structural Transitions from Isolated Particles to Clusters upon Variation in Composition. Nanomaterials 9:7, pages 921.
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S. Torquato. (2018) Perspective: Basic understanding of condensed phases of matter via packing models. The Journal of Chemical Physics 149:2.
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R. F. Capellmann, A. Khisameeva, F. Platten & S. U. Egelhaaf. (2018) Dense colloidal mixtures in an external sinusoidal potential. The Journal of Chemical Physics 148:11.
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Sung-Hwan Lim, Taehoon Lee, Younghoon Oh, Theyencheri Narayanan, Bong June Sung & Sung-Min Choi. (2017) Hierarchically self-assembled hexagonal honeycomb and kagome superlattices of binary 1D colloids. Nature Communications 8:1.
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Bodhi Rudra, Yunyao Jiang, Yaning Li & Jongmin Shim. (2017) A class of diatomic 2-D soft granular crystals undergoing pattern transformations. Soft Matter 13:35, pages 5824-5831.
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Ian Douglass, Helen Mayger, Toby Hudson & Peter Harrowell. (2017) The stabilization of tubular crystals in mixtures of spherical particles. Soft Matter 13:7, pages 1344-1351.
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Igor Travěnec & Ladislav Šamaj. (2016) Separation of Wigner structures for two-dimensional equimolar binary mixtures of Coulomb particles. Physical Review B 93:10.
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. 2016. Geometric Measure Theory. Geometric Measure Theory 235 254 .
Xingchen Ye, Chenhui Zhu, Peter Ercius, Shilpa N. Raja, Bo He, Matthew R. Jones, Matthew R. Hauwiller, Yi Liu, Ting Xu & A. Paul Alivisatos. (2015) Structural diversity in binary superlattices self-assembled from polymer-grafted nanocrystals. Nature Communications 6:1.
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Taejong Paik, Benjamin T. Diroll, Cherie R. Kagan & Christopher B. Murray. (2015) Binary and Ternary Superlattices Self-Assembled from Colloidal Nanodisks and Nanorods. Journal of the American Chemical Society 137:20, pages 6662-6669.
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Robert Connelly, Jeffrey D. Shen & Alexander D. Smith. (2014) Ball Packings with Periodic Constraints. Discrete & Computational Geometry 52:4, pages 754-779.
Crossref
Marjolein Dijkstra. 2014. Advances in Chemical Physics. Advances in Chemical Physics 35 71 .
Sanat Kumar, Manjori Mukherjee & Pankaj Mishra. (2014) Structures and partial clustering in binary mixtures of colloidal particles interacting via repulsive power law potentials. Journal of Molecular Liquids 197, pages 84-92.
Crossref
Robert Connelly & William Dickinson. (2014) Periodic planar disc packings. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372:2008, pages 20120039.
Crossref
Du T. Nguyen, Maya Kleiman, Richard Truong & Aaron P. Esser-Kahn. (2014) Bio-inspired microvascular exchangers employing circular packing – synthetic rete mirabile. Mater. Horiz. 1:6, pages 602-607.
Crossref
S. Deutschländer, K. Franzrahe, B. Heinze, P. Henseler, P. Keim, N. Schwierz, U. Siems, P. Virnau, D. Wilms, K. Binder, G. Maret & P. Nielaba. (2013) Effects of boundaries on structure formation in low-dimensional colloid model systems near the liquid-solid-transition in equilibrium and in external fields and under shear. The European Physical Journal Special Topics 222:11, pages 2973-2993.
Crossref
Youngkyu Han, Juncheol Lee, Siyoung Q. Choi, Myung Chul Choi & Mahn Won Kim. (2013) Shape-induced chiral ordering in two-dimensional packing of snowmanlike dimeric particles. Physical Review E 88:4.
Crossref
D. Wilms, P. Virnau, S. Sengupta & K. Binder. (2012) Langevin dynamics simulations of a two-dimensional colloidal crystal under confinement and shear. Physical Review E 85:6.
Crossref
Adam B. Hopkins, Frank H. Stillinger & Salvatore Torquato. (2012) Densest binary sphere packings. Physical Review E 85:2.
Crossref
Youngkyu Han & Mahn Won Kim. (2012) Effect of bond and asymmetry of 2D-dumbbells on their structure in high concentration regime. Soft Matter 8:34, pages 9015.
Crossref
Asaph Widmer-Cooper & Peter Harrowell. (2011) Structural phases in non-additive soft-disk mixtures: Glasses, substitutional order, and random tilings. The Journal of Chemical Physics 135:22.
Crossref
H. Löwen, E. C. Oğuz, L. Assoud & R. Messina. 2011. Advances in Chemical Physics. Advances in Chemical Physics 225 249 .
Takeshi Kawasaki & Akira Onuki. (2011) Construction of a disorder variable from Steinhardt order parameters in binary mixtures at high densities in three dimensions. The Journal of Chemical Physics 135:17.
Crossref
Adam B. Hopkins, Yang Jiao, Frank H. Stillinger & Salvatore Torquato. (2011) Phase Diagram and Structural Diversity of the Densest Binary Sphere Packings. Physical Review Letters 107:12.
Crossref
Angang Dong, Xingchen Ye, Jun Chen & Christopher B. Murray. (2011) Two-Dimensional Binary and Ternary Nanocrystal Superlattices: The Case of Monolayers and Bilayers. Nano Letters 11:4, pages 1804-1809.
Crossref
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Crossref
Adam D. Law, D. Martin A. Buzza & Tommy S. Horozov. (2011) Two-Dimensional Colloidal Alloys. Physical Review Letters 106:12.
Crossref
L. Assoud & R. Messina. (2011) Penalty method to predict crystal structures involving hard-core interactions. Physical Review E 83:3.
Crossref
Stefan Medina, Peter Virnau & Kurt Binder. (2011) Confined binary two-dimensional colloidal crystals: Monte Carlo simulation of crack formation. Journal of Physics: Condensed Matter 23:3, pages 035105.
Crossref
A. D. Law, T. S. Horozov & D. M. A. Buzza. (2011) The structure and melting transition of two-dimensional colloidal alloys. Soft Matter 7:19, pages 8923.
Crossref
F. Göncü, S. Willshaw, J. Shim, J. Cusack, S. Luding, T. Mullin & K. Bertoldi. (2011) Deformation induced pattern transformation in a soft granular crystal. Soft Matter 7:6, pages 2321.
Crossref
S. Torquato & F. H. Stillinger. (2010) Jammed hard-particle packings: From Kepler to Bernal and beyond. Reviews of Modern Physics 82:3, pages 2633-2672.
Crossref
Julia Fornleitner, Gerhard Kahl & Christos N. Likos. (2010) Tailoring the phonon band structure in binary colloidal mixtures. Physical Review E 81:6.
Crossref
Arash Nikoubashman & Christos N Likos. (2010) Self-assembled structures of Gaussian nematic particles. Journal of Physics: Condensed Matter 22:10, pages 104107.
Crossref
Alexandros Chremos & Christos N. Likos. (2009) Crystal Structures of Two-Dimensional Binary Mixtures of Dipolar Colloids in Tilted External Magnetic Fields. The Journal of Physical Chemistry B 113:36, pages 12316-12325.
Crossref
Julia Fornleitner, Federica Lo Verso, Gerhard Kahl & Christos N. Likos. (2009) Ordering in Two-Dimensional Dipolar Mixtures. Langmuir 25:14, pages 7836-7846.
Crossref
K. Franzrahe & P. Nielaba. (2009) Controlled structuring of binary hard-disk mixtures via a periodic, external potential. Physical Review E 79:5.
Crossref
Laura Filion & Marjolein Dijkstra. (2009) Prediction of binary hard-sphere crystal structures. Physical Review E 79:4.
Crossref
René Messina. (2009) Electrostatics in soft matter. Journal of Physics: Condensed Matter 21:11, pages 113102.
Crossref
Christian MayerFrancesco SciortinoChristos N. LikosPiero TartagliaHartmut LöwenEmanuela Zaccarelli. (2008) Multiple Glass Transitions in Star Polymer Mixtures: Insights from Theory and Simulations. Macromolecules 42:1, pages 423-434.
Crossref
Lahcen Assoud, René Messina & Hartmut Löwen. (2008) Binary crystals in two-dimensional two-component Yukawa mixtures. The Journal of Chemical Physics 129:16.
Crossref
K Franzrahe, P Nielaba, A Ricci, K Binder, S Sengupta, P Keim & G Maret. (2008) Field-induced ordering phenomena and non-local elastic compliance in two-dimensional colloidal crystals. Journal of Physics: Condensed Matter 20:40, pages 404218.
Crossref
T. S. Hudson & Peter Harrowell. (2008) Dense Packings of Hard Spheres of Different Sizes Based on Filling Interstices in Uniform Three-Dimensional Tilings. The Journal of Physical Chemistry B 112:27, pages 8139-8143.
Crossref
Julia Fornleitner, Federica Lo Verso, Gerhard Kahl & Christos N. Likos. (2008) Genetic algorithms predict formation of exotic ordered configurations for two-component dipolar monolayers. Soft Matter 4:3, pages 480.
Crossref
Kerstin Franzrahe & Peter Nielaba. (2007) Entropy versus energy: The phase behavior of a hard-disk mixture in a periodic external potential. Physical Review E 76:6.
Crossref
L. Assoud, R. Messina & H. Löwen. (2007) Stable crystalline lattices in two-dimensional binary mixtures of dipolar particles. Europhysics Letters (EPL) 80:4, pages 48001.
Crossref
Aleksandar Donev, Frank H. Stillinger & Salvatore Torquato. (2007) Configurational entropy of binary hard-disk glasses: Nonexistence of an ideal glass transition. The Journal of Chemical Physics 127:12.
Crossref
P. Henseler, C. Schieback, K. Franzrahe, F. Bürzle, M. Dreher, J. Neder, W. Quester, M. Kläui, U. Rüdiger & P. Nielaba. 2007. High Performance Computing in Science and Engineering ’06. High Performance Computing in Science and Engineering ’06 97 112 .
Toshiyuki Hamanaka & Akira Onuki. (2006) Transitions among crystal, glass, and liquid in a binary mixture with changing particle-size ratio and temperature. Physical Review E 74:1.
Crossref
Aaron E. Saunders & Brian A. Korgel. (2005) Observation of an AB Phase in Bidisperse Nanocrystal Superlattices. ChemPhysChem 6:1, pages 61-65.
Crossref
O.U. Uche, F.H. Stillinger & S. Torquato. (2004) Concerning maximal packing arrangements of binary disk mixtures. Physica A: Statistical Mechanics and its Applications 342:3-4, pages 428-446.
Crossref
Brooks D. Rabideau & Roger T. Bonnecaze. (2004) Computational Study of the Self-Organization of Bidisperse Nanoparticles. Langmuir 20:21, pages 9408-9414.
Crossref
R. Christopher Doty, Roger T. Bonnecaze & Brian A. Korgel. (2002) Kinetic bottleneck to the self-organization of bidisperse hard disk monolayers formed by random sequential adsorption. Physical Review E 65:6.
Crossref
Jeffrey J. Gray & Roger T. Bonnecaze. (2001) Adsorption of Charge-Bidisperse Mixtures of Colloidal Particles. Langmuir 17:25, pages 7935-7947.
Crossref
Christos N. Likos. (2001) Effective interactions in soft condensed matter physics. Physics Reports 348:4-5, pages 267-439.
Crossref
X. Cottin & P. A. Monson. (1995) Substitutionally ordered solid solutions of hard spheres. The Journal of Chemical Physics 102:8, pages 3354-3360.
Crossref
Frank H. Stillinger & Boris D. Lubachevsky. (1995) Patterns of broken symmetry in the impurity-perturbed rigid-disk crystal. Journal of Statistical Physics 78:3-4, pages 1011-1026.
Crossref

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