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Hard-sphere crystallization gets rarer with increasing dimension

2009/07/31 by J. A. van Meel, Benoit Charbonneau, B. Charbonneau +4 · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Chemical physics #Chemistry #Condensed matter physics #Crystal (programming language) #Crystallization #Crystallography #Dispersity #Hard spheres #Jamming #Material Dynamics and Properties #Materials science #Physics #Pickering emulsions and particle stabilization #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.80.061110

published as Phys. Rev. E 80, 061110 (2009) · 15 pages, 5 figures

openalex publication_date 2009/12/08 · arxiv created 2009/12/11 · arxiv updated 2010/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We recently found that crystallization of monodisperse hard spheres from the bulk fluid faces a much higher free-energy barrier in four than in three dimensions at equivalent supersaturation, due to the increased geometrical frustration between the simplex-based fluid order and the crystal [J. A. van Meel, D. Frenkel, and P. Charbonneau, Phys. Rev. E 79, 030201(R) (2009)]. Here, we analyze the microscopic contributions to the fluid-crystal interfacial free energy to understand how the barrier to crystallization changes with dimension. We find the barrier to grow with dimension and we identify the role of polydispersity in preventing crystal formation. The increased fluid stability allows us to study the jamming behavior in four, five, and six dimensions and to compare our observations with two recent theories [C. Song, P. Wang, and H. A. Makse, Nature (London) 453, 629 (2008); G. Parisi and F. Zamponi, Rev. Mod. Phys. (to be published)].

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