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Updated: Jun 5, 2026

Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles
Published on: May 8, 2015
Entropically stabilized growth of a two-dimensional random tiling.
Andrew Stannard1, Matthew O Blunt, Peter H Beton
1School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
Researchers studied molecular rhombus tiling growth, finding a shift from energetic to entropic stabilization. This reveals how molecular networks form equilibrium or non-equilibrium structures during initial growth.
Area of Science:
- Condensed matter physics
- Materials science
- Statistical mechanics
Background:
- Molecular networks form complex 2D structures like glasses.
- Their initial growth phase is critical for understanding formation dynamics.
- Dynamically arrested states are common in these systems.
Purpose of the Study:
- To investigate the stabilization mechanisms in molecular rhombus tiling.
- To differentiate between equilibrium and non-equilibrium randomness in growth.
- To establish a methodology for analyzing molecular tiling formation.
Main Methods:
- Utilized a lattice-gas model for calculations.
- Analyzed nucleation and growth processes.
- Examined topological defects and boundary formation.
Main Results:
- Identified a transition from energetic to entropic stabilization.
- Observed defect clustering and slow relaxation in energetic stabilization.
- Found direct growth into equilibrium in entropic stabilization.
Conclusions:
- Equilibrium and non-equilibrium randomness in molecular tilings can be identified.
- Slow dynamical behavior is compatible with equilibrium spatial statistics.
- Understanding stabilization transitions is key to controlling molecular network assembly.
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