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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 95, 1998 - Issue 2
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Original Articles

The hard sphere glass transition

ROBIN J. SPEEDY Chemistry Department, Victoria University of Wellington, PO Box 600, Wellington, New Zealand
Pages 169-178 | Received 01 Dec 1997, Accepted 14 Jan 1998, Published online: 01 Sep 2009

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F Zamponi. (2007) Some recent theoretical results on amorphous packings of hard spheres. Philosophical Magazine 87:3-5, pages 485-495.
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KH. Nasrifar & O. Bolland. (2006) SIMPLIFIED HARD-SPHERE AND HARD-SPHERE CHAIN EQUATIONS OF STATE FOR ENGINEERING APPLICATIONS. Chemical Engineering Communications 193:10, pages 1277-1293.
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F. Sciortino & P. Tartaglia. (2005) Glassy colloidal systems. Advances in Physics 54:6-7, pages 471-524.
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ERIK SANTISO & ERICHA. MÜLLER. (2002) Dense packing of binary and polydisperse hard spheres. Molecular Physics 100:15, pages 2461-2469.
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L. Aramis de Icaza Astiz, Atahualpa S. Kraemer, Gerardo Odriozola & Mariano López de Haro. Dynamic neighbours: a proposal of a tool to characterize phase transitions. Molecular Physics 0:0.
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Vasili Baranau & Ulrich Tallarek. (2017) Another resolution of the configurational entropy paradox as applied to hard spheres. The Journal of Chemical Physics 147:22.
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H A Vinutha & Srikanth Sastry. (2016) Geometric aspects of shear jamming induced by deformation of frictionless sphere packings. Journal of Statistical Mechanics: Theory and Experiment 2016:9, pages 094002.
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Edan Lerner, Gustavo Düring & Eran Bouchbinder. (2016) Statistics and Properties of Low-Frequency Vibrational Modes in Structural Glasses. Physical Review Letters 117:3.
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H. A. Vinutha & Srikanth Sastry. (2016) Disentangling the role of structure and friction in shear jamming. Nature Physics 12:6, pages 578-583.
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P. Paricaud. (2015) Extension of the BMCSL equation of state for hard spheres to the metastable disordered region: Application to the SAFT approach. The Journal of Chemical Physics 143:4.
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John L Finney & Leslie V Woodcock. (2014) Renaissance of Bernal's random close packing and hypercritical line in the theory of liquids. Journal of Physics: Condensed Matter 26:46, pages 463102.
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Jean-Marc Bomont & Jean-Louis Bretonnet. (2014) Thermodynamics and dynamics of the hard-sphere system: From stable to metastable states. Chemical Physics 439, pages 85-94.
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Moumita Maiti & Srikanth Sastry. (2014) Free volume distribution of nearly jammed hard sphere packings. The Journal of Chemical Physics 141:4.
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Miguel Robles, Mariano López de Haro & Andrés Santos. (2014) Note: Equation of state and the freezing point in the hard-sphere model. The Journal of Chemical Physics 140:13.
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Andrés Santos, Santos B. Yuste, Mariano López de Haro, Gerardo Odriozola & Vitaliy Ogarko. (2014) Simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres. Physical Review E 89:4.
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S. S. Ashwin, Mahdi Zaeifi Yamchi & Richard K. Bowles. (2013) Inherent Structure Landscape Connection between Liquids, Granular Materials, and the Jamming Phase Diagram. Physical Review Letters 110:14.
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M. Cristina Vargas & Gabriel Pérez-Ángel. (2013) Crystallization time scales for polydisperse hard-sphere fluids. Physical Review E 87:4.
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J Solana. 2013. Perturbation Theories for the Thermodynamic Properties of Fluids and Solids. Perturbation Theories for the Thermodynamic Properties of Fluids and Solids.
Shiladitya Sengupta, Smarajit Karmakar, Chandan Dasgupta & Srikanth Sastry. (2012) Adam-Gibbs Relation for Glass-Forming Liquids in Two, Three, and Four Dimensions. Physical Review Letters 109:9.
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Gary L Hunter & Eric R Weeks. (2012) The physics of the colloidal glass transition. Reports on Progress in Physics 75:6, pages 066501.
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Srikanth Sastry. 2012. The Physics of Disordered Systems. The Physics of Disordered Systems 85 119 .
Marc Mézard, Giorgio Parisi, Marco Tarzia & Francesco Zamponi. (2011) On the solution of a ‘solvable’ model of an ideal glass of hard spheres displaying a jamming transition. Journal of Statistical Mechanics: Theory and Experiment 2011:03, pages P03002.
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C. D. Estrada & M. Robles. (2011) Fluid–solid transition in hard hypersphere systems. The Journal of Chemical Physics 134:4.
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Matthew C. Jenkins, Mark D. Haw, Gary C. Barker, Wilson C. K. Poon & Stefan U. Egelhaaf. (2011) Finding bridges in packings of colloidal spheres. Soft Matter 7:2, pages 684-690.
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K.L. NgaiK.L. Ngai. 2011. Relaxation and Diffusion in Complex Systems. Relaxation and Diffusion in Complex Systems 49 638 .
William L. Miller & Angelo Cacciuto. (2010) On the phase behavior of hard aspherical particles. The Journal of Chemical Physics 133:23.
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Elijah Flenner & Grzegorz Szamel. (2010) Dynamic Heterogeneity in a Glass Forming Fluid: Susceptibility, Structure Factor, and Correlation Length. Physical Review Letters 105:21.
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Eric R. Weeks. 2014. Experimental and Computational Techniques in Soft Condensed Matter Physics. Experimental and Computational Techniques in Soft Condensed Matter Physics 1 24 .
T. Zykova-Timan, J. Horbach & K. Binder. (2010) Monte Carlo simulations of the solid-liquid transition in hard spheres and colloid-polymer mixtures. The Journal of Chemical Physics 133:1.
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Giorgio Parisi & Francesco Zamponi. (2010) Mean-field theory of hard sphere glasses and jamming. Reviews of Modern Physics 82:1, pages 789-845.
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M. Hermes & M. Dijkstra. (2010) Jamming of polydisperse hard spheres: The effect of kinetic arrest. EPL (Europhysics Letters) 89:3, pages 38005.
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Dandan Chen, Denis Semwogerere, Jun Sato, Victor Breedveld & Eric R. Weeks. (2010) Microscopic structural relaxation in a sheared supercooled colloidal liquid. Physical Review E 81:1.
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Z. Rotman & E. Eisenberg. (2009) Ideal glass transition in a simple two-dimensional lattice model. Physical Review E 80:6.
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Shiqi Zhou & J. R. Solana. (2009) Inquiry into thermodynamic behavior of hard sphere plus repulsive barrier of finite height. The Journal of Chemical Physics 131:20.
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Isaac C. Sanchez & Jang S. Lee. (2009) On the Asymptotic Properties of a Hard Sphere Fluid. The Journal of Physical Chemistry B 113:47, pages 15572-15580.
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C.A. Angell. (2011) Glass-Formers and Viscous Liquid Slowdown since David Turnbull: Enduring Puzzles and New Twists. MRS Bulletin 33:5, pages 544-555.
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E. Eisenberg & A. Baram. (2007) Estimation of critical exponents from cluster coefficients and the application of this estimation to hard spheres. Proceedings of the National Academy of Sciences 104:14, pages 5755-5758.
Crossref
D. M. HeyesM. J. CassJ. G. PowlesW. A. B. Evans. (2007) Self-Diffusion Coefficient of the Hard-Sphere Fluid:  System Size Dependence and Empirical Correlations. The Journal of Physical Chemistry B 111:6, pages 1455-1464.
Crossref
M. López de Haro & M. Robles. (2006) Thermodynamic perturbation theory and glass transition in simple fluids. Physica A: Statistical Mechanics and its Applications 372:2, pages 307-315.
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Ulf R. Pedersen, Tina Hecksher, Jeppe C. Dyre & Thomas B. Schrøder. (2006) An energy landscape model for glass-forming liquids in three dimensions. Journal of Non-Crystalline Solids 352:42-49, pages 5210-5215.
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G.J. Fan, H. Choo & P.K. Liaw. (2005) Fragility of metallic glass-forming liquids: A simple thermodynamic connection. Journal of Non-Crystalline Solids 351:52-54, pages 3879-3883.
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Lina Hu, Xiufang Bian, Weimin Wang, Guangrong Liu & Yubo Jia. (2005) Thermodynamics and Dynamics of Metallic Glass Formers:  Their Correlation for the Investigation on Potential Energy Landscape. The Journal of Physical Chemistry B 109:28, pages 13737-13742.
Crossref
U. Tartaglino, T. Zykova-Timan, F. Ercolessi & E. Tosatti. (2005) Melting and nonmelting of solid surfaces and nanosystems. Physics Reports 411:5, pages 291-321.
Crossref
Srikanth Sastry. (2004) Numerical Test of Stillinger's Argument Concerning the Kauzmann Paradox. The Journal of Physical Chemistry B 108:51, pages 19698-19702.
Crossref
Joanne Budzien, John D. McCoy & Douglas B. Adolf. (2004) General relationships between the mobility of a chain fluid and various computed scalar metrics. The Journal of Chemical Physics 121:20, pages 10291-10298.
Crossref
Guang-Wen Wu & Richard J. Sadus. (2004) New phase for one-component hard spheres. The Journal of Chemical Physics 120:24, pages 11686-11691.
Crossref
G. Ruocco, F. Sciortino, F. Zamponi, C. De Michele & T. Scopigno. (2004) Landscapes and fragilities. The Journal of Chemical Physics 120:22, pages 10666-10680.
Crossref
Robin J. Speedy. (2004) Spinodal and ideal glass limits for metastable liquids. The Journal of Chemical Physics 120:21, pages 10182-10187.
Crossref
E. La Nave, S. Mossa, F. Sciortino & P. Tartaglia. (2004) Liquid stability in a model for ortho-terphenyl. The Journal of Chemical Physics 120:13, pages 6128-6134.
Crossref
Y. Gebremichael, M. Vogel & S. C. Glotzer. (2004) Particle dynamics and the development of string-like motion in a simulated monoatomic supercooled liquid. The Journal of Chemical Physics 120:9, pages 4415-4427.
Crossref
Hu Lina & Xiufang Bian. (2004) Liquid fragility—A key to going deep into materials of glassy states. Chinese Science Bulletin 49:1, pages 1-9.
Crossref
Joanne Budzien, John D. McCoy & Douglas B. Adolf. (2003) Solute mobility and packing fraction: A new look at the Doolittle equation for the polymer glass transition. The Journal of Chemical Physics 119:17, pages 9269-9273.
Crossref
Robin J. Speedy. (2003) Kauzmann's paradox and the glass transition. Biophysical Chemistry 105:2-3, pages 411-420.
Crossref
Francis W. Starr, C.Austen Angell, Emilia La Nave, Srikanth Sastry, Antonio Scala, Francesco Sciortino & H.Eugene Stanley. (2003) Recent results on the connection between thermodynamics and dynamics in supercooled water. Biophysical Chemistry 105:2-3, pages 573-583.
Crossref
Robin J Speedy. (2003) The energy density landscape for soft spheres. Journal of Physics: Condensed Matter 15:11, pages S1243-S1251.
Crossref
E La Nave, F Sciortino, P Tartaglia, C De Michele & S Mossa. (2003) Numerical evaluation of the statistical properties of a potential energy landscape. Journal of Physics: Condensed Matter 15:11, pages S1085-S1094.
Crossref
Tomaso Aste & Antonio Coniglio. (2003) Cell approach to glass transition. Journal of Physics: Condensed Matter 15:11, pages S803-S811.
Crossref
Robin J. Speedy. (2002) Stability limits for a liquid of Einstein glasses. The Journal of Chemical Physics 116:10, pages 4228-4231.
Crossref
M. Dzugutov. (2002) Anomalous slowing down in the metastable liquid of hard spheres. Physical Review E 65:3.
Crossref
S.V. Buldyrev, G. Franzese, N. Giovambattista, G. Malescio, M.R. Sadr-Lahijany, A. Scala, A. Skibinsky & H.E. Stanley. (2002) Models for a liquid–liquid phase transition. Physica A: Statistical Mechanics and its Applications 304:1-2, pages 23-42.
Crossref
M. Robles, L. I. Uruchurtu & M. López de Haro. (2011) Theoretical scheme for the study of thermodynamic and transport properties of simple fluids at the liquid-glass transition line.. MRS Proceedings 754.
Crossref
S. V. Buldyrev, G. Franzese, N. Giovambattista, G. Malescio, M. R. Sadr-Lahijany, A. Scala, A. Skibinsky & H. E. Stanley. 2002. New Kinds of Phase Transitions: Transformations in Disordered Substances. New Kinds of Phase Transitions: Transformations in Disordered Substances 97 120 .
Robin J. Speedy. 2002. New Kinds of Phase Transitions: Transformations in Disordered Substances. New Kinds of Phase Transitions: Transformations in Disordered Substances 603 612 .
Srikanth Sastry. 2002. New Kinds of Phase Transitions: Transformations in Disordered Substances. New Kinds of Phase Transitions: Transformations in Disordered Substances 589 602 .
Ivan Saika-Voivod, Peter H. Poole & Francesco Sciortino. 2002. New Kinds of Phase Transitions: Transformations in Disordered Substances. New Kinds of Phase Transitions: Transformations in Disordered Substances 168 178 .
Robin J. Speedy. 2002. Liquids Under Negative Pressure. Liquids Under Negative Pressure 1 12 .
T. Gruhn & P. A. Monson. (2001) Molecular dynamics simulations of hard sphere solidification at constant pressure. Physical Review E 64:6.
Crossref
David S. Corti. (2001) Application of the Geometric Gibbs Equation:  Toward an Exact Closure Condition. The Journal of Physical Chemistry B 105:47, pages 11772-11777.
Crossref
Robin J. Speedy. (2001) Estimates of the Configurational Entropy of a Liquid. The Journal of Physical Chemistry B 105:47, pages 11737-11742.
Crossref
G. D'Anna & G. Gremaud. (2001) The jamming route to the glass state in weakly perturbed granular media. Nature 413:6854, pages 407-409.
Crossref
Ivan Saika-Voivod, Peter H. Poole & Francesco Sciortino. (2001) Fragile-to-strong transition and polyamorphism in the energy landscape of liquid silica. Nature 412:6846, pages 514-517.
Crossref
Robin J. Speedy. (2001) Configurational entropy and diffusion in a hard disc fluid. The Journal of Chemical Physics 114:20, pages 9069-9074.
Crossref
L.-M. Martinez & C. A. Angell. (2001) A thermodynamic connection to the fragility of glass-forming liquids. Nature 410:6829, pages 663-667.
Crossref
Srikanth Sastry. (2001) The relationship between fragility, configurational entropy and the potential energy landscape of glass-forming liquids. Nature 409:6817, pages 164-167.
Crossref
Richard P. Sear. (2000) Molecular dynamics of a dense fluid of polydisperse hard spheres. The Journal of Chemical Physics 113:11, pages 4732-4739.
Crossref
Srikanth Sastry. (2000) Liquid Limits: Glass Transition and Liquid-Gas Spinodal Boundaries of Metastable Liquids. Physical Review Letters 85:3, pages 590-593.
Crossref
Thomas B. Schrøder, Srikanth Sastry, Jeppe C. Dyre & Sharon C. Glotzer. (2000) Crossover to potential energy landscape dominated dynamics in a model glass-forming liquid. The Journal of Chemical Physics 112:22, pages 9834-9840.
Crossref
Richard P. Sear. (2000) Fluid-fluid transitions of hard spheres with a very-short-range attraction. Physical Review E 61:5, pages 6019-6022.
Crossref
Richard K Bowles. (2000) A thermodynamic description of the glass transition: an exact one-dimensional example. Physica A: Statistical Mechanics and its Applications 275:1-2, pages 217-228.
Crossref
Patrick Richard, Luc Oger, Jean-Paul Troadec & Annie Gervois. (1999) Geometrical characterization of hard-sphere systems. Physical Review E 60:4, pages 4551-4558.
Crossref
Srikanth Sastry, Pablo G. Debenedetti, Frank H. Stillinger, Thomas B. Schrøder, Jeppe C. Dyre & Sharon C. Glotzer. (1999) Potential energy landscape signatures of slow dynamics in glass forming liquids. Physica A: Statistical Mechanics and its Applications 270:1-2, pages 301-308.
Crossref
R.J Speedy. (1999) Constrained simulations to count the glasses that a fluid samples. Journal of Molecular Structure 485-486, pages 537-543.
Crossref
Donna N. Perera & Peter Harrowell. (1999) Stability and structure of a supercooled liquid mixture in two dimensions. Physical Review E 59:5, pages 5721-5743.
Crossref
Robin J. Speedy. (1999) Relations between a Liquid and Its Glasses. The Journal of Physical Chemistry B 103:20, pages 4060-4065.
Crossref
C A Angell, B E Richards & V Velikov. (1999) Simple glass-forming liquids: their definition, fragilities, and landscape excitation profiles. Journal of Physics: Condensed Matter 11:10A, pages A75-A94.
Crossref
Robin J. Speedy. (1999) Glass transition in hard disc mixtures. The Journal of Chemical Physics 110:9, pages 4559-4565.
Crossref

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