An intermediate phase between jammed and un-jammed amorphous solids

Yuliang Jin; Itamar Procaccia; Tuhin Samanta

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arXiv · 2305.01394

An intermediate phase between jammed and un-jammed amorphous solids

Yuliang Jin·Itamar Procaccia·Tuhin Samanta

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Abstract

A significant amount of attention was dedicated in recent years to the phenomenon of jamming of athermal amorphous solids by increasing the volume fraction of the microscopic constituents. At a critical value of the volume fraction, pressure shoots up from zero to finite values with a host of critical exponents discovered and discussed. In this letter, we advance evidence for the existence of a second transition, within the jammed state of two-dimensional granular systems, that separates two phases characterized by different mechanical screening regimes. Explicitly, highly packed systems are quasi-elastic with quadrupole-screening, and more loosely jammed systems exhibit anomalous mechanics with dipole screening. Evidence is given for a clear transition between these two regimes, reminiscent of the intermediate hexatic phase of crystal melting in two-dimensional crystals.

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Yuliang Jin, Itamar Procaccia, Tuhin Samanta. 2023-05-02. An intermediate phase between jammed and un-jammed amorphous solids. https://arxiv.org/abs/2305.01394

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