Crystallization in curved three-dimensional space

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27 Scopus citations


Crystallization is studied by Metropolis Monte Carlo annealing of assemblies of particles with an r-12 interaction. In two dimensions, a high degree of crystalline order is obtained very quickly; in three dimensions a disordered (glass) structure is generally obtained. The special system consisting of 120 particles on the surface of a four-dimensional sphere, which has a close-packed crystal phase, was found to crystallize much more readily than flat three-dimensional space. This gives support to current theories of the role of topological frustration in the formation of glassy phases.

Original languageEnglish
Pages (from-to)6592-6595
Number of pages4
JournalPhysical Review B
Issue number11
StatePublished - 1984

ASJC Scopus subject areas

  • Condensed Matter Physics


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