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Hard-sphere crystallization gets rarer with increasing dimension.

van Meel, JA, Charbonneau, B, Fortini, A and Charbonneau, P (2009) Hard-sphere crystallization gets rarer with increasing dimension. Phys Rev E Stat Nonlin Soft Matter Phys, 80 (6 Pt 1).

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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)].

Item Type: Article
Divisions : Surrey research (other units)
Authors :
van Meel, JA
Charbonneau, B
Charbonneau, P
Date : December 2009
DOI : 10.1103/PhysRevE.80.061110
Uncontrolled Keywords : Computer Simulation, Crystallization, Energy Transfer, Glass, Hardness, Microspheres, Models, Chemical, Phase Transition
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:16
Last Modified : 24 Jan 2020 23:43

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