Emergence of Zero Modes in Disordered Solids Under Periodic Tiling
Abstract
This research explores how periodic tiling influences the mechanical properties of disordered solids. We demonstrate that introducing periodic boundary conditions can lead to the emergence of zero-frequency modes, affecting the material’s rigidity and stability.
Key Findings
Zero-Frequency Modes: Periodic tiling can induce modes that compromise the rigidity of disordered structures.
Implications for Material Design: Understanding these effects is crucial for designing materials with desired mechanical properties, especially in applications requiring specific rigidity characteristics.
Publication Details
Authors: R. Cameron Dennis, Varda F. Hagh, and Eric I. Corwin
Journal: Physical Review E, Volume 106, Issue 4
Publication Date: October 14, 2022
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.