Inherent Structure Landscape of Hard Spheres Confined to Narrow Cylindrical Channels

Abstract

The inherent structure landscape for a system of hard spheres confined to a hard cylindrical channel, such that spheres can only contact their first and second neighbours, is studied using an analytical model that extends previous results [Phys. Rev. Lett. 115, 025702 (2015)] to provide a comprehensive picture of jammed packings over a range of packing densities. In the model, a packing is described as an arrangement of $k$ helical sections, separated by defects, that have alternating helical twist directions and where all spheres satisfy local jamming constraints. The structure of each helical section is determined by a single helical twist angle, and a jammed packing is obtained by minimizing the length of the channel per particle with respect to the $k$ helical section angles. An analysis of a small system of $N=20$ spheres shows that the basins on the inherent structure landscape associated with these helical arrangements split into a number of distinct jammed states separated by low barriers giving rise to a degree of hierarchical organization. The model accurately predicts the geometric properties of packings generated using the Lubachevsky and Stillinger compression scheme ($N=10^4$) and provides insight into the nature of the probability distribution of helical section lengths.

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References in corpus (28)

• Is Random Close Packing of Spheres Well Defined?
• Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
• Mean field theory of hard sphere glasses and jamming
• Fractal free energy landscapes in structural glasses
• Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
• Basic Understanding of Condensed Phases of Matter via Packing Models
• The Statistical Physics of Athermal Materials
• Exact theory of dense amorphous hard spheres in high dimension. I. The free energy
• Dense packings of spheres in cylinders I. Simulations
• Densest binary sphere packings
• Phyllotactic description of hard sphere packing in cylindrical channels
• Perspective: Gardner Physics in Amorphous Solids and Beyond
• Hard sphere packings within cylinders
• The Complete Jamming Landscape of Confined Hard Discs
• The Gardner transition in physical dimensions
• Edwards entropy and compactivity in a model of granular matter
• Assembly of hard spheres in a cylinder: a computational and experimental study
• Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
• Static and dynamical properties of a hard-disk fluid confined to a narrow channel
• Glass-like behavior of a hard-disk fluid confined to a narrow channel
• The Inherent Structure Landscape Connection Between Liquids, Granular materials and the Jamming Phase Diagram
• Theory of cylindrical dense packings of disks
• Landscapes, dynamic heterogeneity and kinetic facilitation in a simple off-lattice model
• Correlation lengths in quasi-one-dimensional systems via transfer matrices
• Marginally jammed states of hard disks in a one-dimensional channel
• Densest binary sphere packings and phase diagram : revisited
• Absence of hyperuniformity in amorphous hard-sphere packings of nonvanishing complexity
• Visualizing Free Energy Landscapes for Four Hard Disks

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