Order in two-dimensional binary random arrays

Journal Article (Academic article)

ISSN: 0141-8610 (Print) 1460-6992 (Online) Journal homepage: http://www.tandfonline.com/loi/tpha20 ABSTRACT Translational and orientational order in randomly packed planar arrays of hard spheres of two different sizes is investigated. For an appropriate size ratio, we find a dilute phase without translational order, but with very-long-range correlations in the orientations of local hexagonal axes. The phase appears to be a quenched analogue of the equilibrium hexatic phase, which appears in two-dimensional melting theories. The peculiar properties of this hexatic glass are attributed to the tendency of a dilute array of large spheres imbedded in a medium of smaller spheres to trap dislocations. Significant orientational correlations also appear in more concentrated mixtures, giving rise to a six-fold modulation of the structure function in large, but finite, samples.

Full Text

Duke Authors

Cited Authors

  • Nelson, DR; Rubinstein, M; Spaepen, F

Published Date

  • 1982

Published In

International Standard Serial Number (ISSN)

  • 0141-8610

Digital Object Identifier (DOI)

  • 10.1080/01418618208236211