Abstract

In this talk, I will discuss theoretical as well as numerical results related to correlations, fluctuations, and stability in athermal systems. I will focus on jammed near-crystalline packings composed of frictionless particles interacting through short-ranged Harmonic as well as long-ranged Lennard-Jones interactions in both two and three dimensions. I will describe exact results related to position and force fluctuations as well as correlations in local stresses induced by microscopic disorder in such near-crystalline systems. I will also characterize the stability of these systems through their vibrational density of states, as well as the distribution of first contact breaking events when subjected to strain. Finally, I will present a universal characterization of stress correlations in such systems, spanning an entire range of disorder from crystalline to fully amorphous packings.