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

  • DOI: 10.48550/arXiv.2404.07492

R. Cameron Dennis, Ph.D.
R. Cameron Dennis, Ph.D.
Physicist | Quantitative Researcher | Data Scientist

Physicist specializing in quantitative modeling, machine learning, and complex systems. Passionate about bridging research with real-world applications.