Glassy dynamics of convex polyhedra

Area of Science:

• Condensed matter physics
• Materials science
• Statistical mechanics

Background:

• Recent advances in synthesis enable laboratory creation of polyhedral-shaped particles.
• Polyhedral particles exhibit complex phase behavior driven solely by excluded volume interactions.
• Some polyhedral particles are hypothesized to undergo a glass transition upon rapid cooling (supercooling).

Purpose of the Study:

• To investigate the glass formation behavior of monodisperse hard polyhedral particles.
• To simulate and analyze the glass transition in specific polyhedral shapes.
• To determine and compare the fragility of these polyhedral glasses to polydisperse hard spheres.

Main Methods:

• Utilizing advanced Monte Carlo simulations.
• Investigating the glass formation of octahedra, tetrahedra, and triangular cupola particles.
• Analyzing particle dynamics and structure during simulated quenching processes.

Main Results:

• Successful simulation of glass formation in monodisperse hard polyhedral particles.
• Quantification of the glass transition for specified polyhedral shapes.
• Determination of particle fragility, providing a measure of resistance to structural relaxation.

Conclusions:

• Polyhedral particles, like octahedra and tetrahedra, can form glasses through supercooling.
• The fragility of polyhedral glasses differs from that of hard-sphere systems.
• This research provides foundational insights into the glass physics of non-spherical particles.