Molecular random tilings as glasses
arXiv:0903.1551
Abstract
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.
5 pages, 5 figures
References in corpus (14)
- Universality classes in nonequilibrium lattice systems
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Fragilities of Liquids Predicted from the Random First Order Transition Theory of Glasses
- A variational principle for domino tilings
- What do we learn from the shape of the dynamical susceptibility of glass-formers?
- Relaxation time for a dimer covering with height representation
- Interacting classical dimers on the square lattice
- Lengthscale dependence of dynamic four-point susceptibilities in glass formers
- Kac-Moody Symmetries of Critical Ground States
- Caging and mosaic lengthscales in plaquette spin models of glasses
- Stripes, Zigzags, and Slow Dynamics in Buckled Hard Spheres
- Mappings between reaction-diffusion and kinetically constrained systems: A+A <-> A and the FA model have upper critical dimension d_c=2
- Vacancy localization in the square dimer model
- Vacancy diffusion in the triangular lattice dimer model