Poster: Jamming Transition in Amorphous Solids across 2D and 3D Systems

The phenomena of athermal amorphous solids jamming due to an increase in the volume fraction of their microscopic constituents have garnered significant interest in recent years. Pressure rises sharply from zero to the finite values at a critical value of the volume fraction, with several critical exponents identified and analyzed. In this presentation, I will demonstrate evidence supporting the existence of a second transition between two regimes of distinct mechanical responses within the jammed state of two-dimensional granular systems. Specifically, systems that are densely packed exhibit quasielastic behavior governed by quadrupole screening, while systems that are less densely packed display anomalous mechanics, associated with dipole screening. A distinct shift between these two regimes is evidenced, which is analogous to the intermediate hexatic phase of 2D crystal melting. The pressure at the transition point and the screening parameter values are also theoretically estimated. Moreover, a similar transition in three-dimensional systems is detected, with a particular emphasis on the effects of dimensionality on the mechanical response, screening parameter values, and the transition pressure.