The Ideal Glass and the Ideal Disk Packing in Two Dimensions

Abstract
We present a method for constructing ideal jammed packings of soft spheres in two dimensions, effectively realizing the zero-temperature ideal glass. These configurations exhibit high bulk and shear moduli, anomalously high density, and hyperuniformity, providing insights into the nature of two-dimensional jammed and glassy systems.
Key Findings
High Moduli and Density: The constructed packings have elevated bulk and shear moduli and higher densities compared to typical amorphous materials.
Hyperuniformity: These configurations display suppressed density fluctuations, characteristic of hyperuniform systems.
Implications for Glassy Systems: Our methodology offers a pathway to generate well-equilibrated glassy systems, facilitating comprehensive exploration of their properties.
Publication Details
Authors: Viola Bolton-Lum, R. Cameron Dennis, Peter Morse, and Eric Corwin
Journal: Currently available as a preprint on arXiv
Submission Date: April 11, 2024