Molecular random tilings as glasses

Details Molecular random tilings as glasses Molecular random tilings as glasses

2009-03-09

arxiv.org/abs/0903.1551v1

Proc. Natl. Acad. Sci. USA 106, 15209 (2009).

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

We have recently shown [Blunt et al., Science 322, 1077 (2008)] that p-terphenyl-3,5,3',5'-tetracarboxylic acid adsorbed on graphite self-assembles into a two-dimensional rhombus random tiling. This tiling is close to ideal, displaying long range correlations punctuated by sparse localised tiling defects. In this paper we explore the analogy between dynamic arrest in this type of random tilings and that of structural glasses. We show that the structural relaxation of these systems is via the propagation--reaction of tiling defects, giving rise to dynamic heterogeneity. We study the scaling properties of the dynamics, and discuss connections with kinetically constrained models of glasses.

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