Jamming Criticality Revealed by Removing Localized Buckling Excitations

Abstract

Recent theoretical advances offer an exact, first-principle theory of jamming criticality in infinite dimension as well as universal scaling relations between critical exponents in all dimensions. For packings of frictionless spheres near the jamming transition, these advances predict that nontrivial power-law exponents characterize the critical distribution of (i) small inter-particle gaps and (ii) weak contact forces, both of which are crucial for mechanical stability. The scaling of the inter-particle gaps is known to be constant in all spatial dimensions $d$ -- including the physically relevant $d=2$ and 3, but the value of the weak force exponent remains the object of debate and confusion. Here, we resolve this ambiguity by numerical simulations. We construct isostatic jammed packings with extremely high accuracy, and introduce a simple criterion to separate the contribution of particles that give rise to localized buckling excitations, i.e., bucklers, from the others. This analysis reveals the remarkable dimensional robustness of mean-field marginality and its associated criticality.

12 pages, 4 figures

References in corpus (8)

• Fractal free energy landscapes in structural glasses
• Packing Hyperspheres in High-Dimensional Euclidean Spaces
• Marginal Stability in Structural, Spin and Electron Glasses
• Universal microstructure and mechanical stability of jammed packings
• Exact theory of dense amorphous hard spheres in high dimension. I. The free energy
• Geometric interpretation of pre-vitrification in hard sphere liquids
• Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming
• A microscopic mean-field theory of the jamming transition

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