Hard-sphere crystallization gets rarer with increasing dimension.

Published

Journal Article

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)].

Full Text

Duke Authors

Cited Authors

  • van Meel, JA; Charbonneau, B; Fortini, A; Charbonneau, P

Published Date

  • December 8, 2009

Published In

Volume / Issue

  • 80 / 6 Pt 1

Start / End Page

  • 061110 -

PubMed ID

  • 20365121

Pubmed Central ID

  • 20365121

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.80.061110

Language

  • eng