Methodology to construct large realizations of perfectly hyperuniform disordered packings.

Area of Science:

• Materials Science
• Statistical Physics
• Computational Physics

Background:

• Disordered hyperuniform packings exhibit suppressed volume-fraction fluctuations, distinguishing them from ordinary disordered materials.
• Producing large, perfectly hyperuniform samples has been a significant challenge due to conventional method limitations.

Purpose of the Study:

• To introduce a general theoretical methodology for constructing perfectly hyperuniform packings in d-dimensional space.
• To develop an efficient and tunable algorithm for generating large hyperuniform packing realizations.

Main Methods:

• A theoretical framework was established using tessellations and local particle packing fractions matching global ones.
• An algorithm was devised and implemented using Voronoi and sphere tessellations.
• The method was applied to convert nonhyperuniform packings into hyperuniform ones and analyze coated-sphere structures.

Main Results:

• The theoretical methodology guarantees perfect hyperuniformity in the infinite-sample-size limit for constructed packings.
• The algorithm successfully converted large nonhyperuniform packings into hyperuniform ones in 2D and 3D.
• The hyperuniformity of Hashin-Shtrikman coated-spheres structures was rigorously demonstrated.

Conclusions:

• A general, tunable method for creating perfectly hyperuniform packings was successfully developed.
• This work provides a route for discovering novel disordered hyperuniform materials with potential fabrication via 2D/3D printing.
• Local tuning of packing characteristics can determine whether a system is hyperuniform or not.