Marginally jammed states of hard disks in a one-dimensional channel

Abstract

We have studied a class of marginally jammed states in a system of hard disks confined in a narrow channel---a quasi-one-dimensional system---whose exponents are not those predicted by theories valid in the infinite dimensional limit. The exponent $\gamma$ which describes the distribution of small gaps takes the value $1$ rather than the infinite dimensional value $0.41269\dots$. Our work shows that there exist jammed states not found within the tiling approach of Ashwin and Bowles. The most dense of these marginal states is an unusual state of matter that is asymptotically crystalline.

8 pages, 8 figures; Fig. 3 updated; new discussion of polydispersity

References in corpus (8)

• Marginal Stability in Structural, Spin and Electron Glasses
• Jamming versus Glass Transitions
• Universal microstructure and mechanical stability of jammed packings
• Jamming Criticality Revealed by Removing Localized Buckling Excitations
• Jamming in finite systems: stability, anisotropy, fluctuations and scaling
• Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
• Contact Changes near Jamming
• Jamming below upper critical dimension

Cited by in corpus (12)

• Colloidal Hard Spheres: Triumphs, Challenges and Mysteries
• Equation of state of hard-disk fluids under single-file confinement
• Finite size effects in the microscopic critical properties of jammed configurations: A comprehensive study of the effects of different types of disorder
• Structural properties of hard-disk fluids under single-file confinement
• Non-extensive super-cluster states in aggregation with fragmentation
• Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results
• Inherent Structure Landscape of Hard Spheres Confined to Narrow Cylindrical Channels
• A renewal approach to configurational entropy in one dimension
• Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid
• Ordering properties of anisotropic hard bodies in one-dimensional channels
• Competition between shape anisotropy and deformation in the ordering and close packing properties of quasi-one-dimensional hard superellipse fluids
• On the structure factor of jammed particle configurations on the one-dimensional lattice