The Inherent Structure Landscape Connection Between Liquids, Granular materials and the Jamming Phase Diagram

Abstract

We provide a comprehensive picture of the jamming phase diagram by connecting the athermal, granular ensemble of jammed states and the equilibrium fluid through the inherent structure paradigm for a system hard discs confined to a narrow channel. The J-line is shown to be divided into packings that are thermodynamically accessible from the equilibrium fluid and inaccessible packings. The J-point is found to occur at the transition between these two sets of packings and is located at the maximum the inherent structure distribution. A general thermodynamic argument suggests that the density of the states at the configurational entropy maximum represents a lower bound on the J-point density in hard sphere systems. Finally, we find that the granular and fluid systems only occupy the same set of inherent structures, under the same thermodynamic conditions, at two points, corresponding to zero and infinite pressures, where they sample the J-point states and the most dense packing respectively.

5 pages, 3 Figures

References in corpus (9)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Jamming versus Glass Transitions
• A Landscape Analysis of Constraint Satisfaction Problems
• Do Binary Hard Disks Exhibit an Ideal Glass Transition?
• Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic
• A microscopic mean-field theory of the jamming transition
• Non-Universality of Density and Disorder in Jammed Sphere Packings
• Some recent theoretical results on amorphous packings of hard spheres
• Can the jamming transition be described using equilibrium statistical mechanics?

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