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Quasicrystals in a monodisperse system.

A Skibinsky¹, S V Buldyrev, A Scala

¹Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

|April 24, 2002

Summary

Researchers simulated hard-sphere particles to form a two-dimensional quasicrystal. Heating an amorphous phase yielded a quasicrystal with fivefold symmetry, potentially stable at specific temperatures.

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Area of Science:

Condensed matter physics
Materials science

Background:

Crystalline phases can exhibit complex structures.
Quasicrystals possess unique symmetries not found in traditional crystals.

Purpose of the Study:

Investigate the formation of two-dimensional quasicrystals.
Determine the stability of quasicrystalline phases.

Main Methods:

Molecular dynamics simulations of monodisperse hard-sphere particles.
Utilized a two-dimensional square-well potential for particle interactions.
Analyzed phase formation through quenching and heating processes.

Main Results:

Identified conditions for the formation of multiple stable crystalline phases.

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Successfully generated a quasicrystalline structure with fivefold symmetry from an amorphous phase.

Estimated Helmholtz potentials to compare phase stability.

Conclusions:

The quasicrystal phase can be thermodynamically stable within a specific temperature range.
The study demonstrates a pathway to quasicrystal formation in a model system.