Floppiness, cutting, and freezing: Dynamic critical scaling near isostaticity

Abstract

The isostatic state plays a central role in organizing the response of many amorphous materials. We demonstrate the existence of a dynamic critical length scale in nearly isostatic spring networks that is valid both above and below isostaticity and at finite frequencies, and use scaling arguments to relate the length scale to viscoelastic response. We predict theoretically and verify numerically how proximity to isostaticity controls the viscosity, shear modulus, and creep of random networks.

5 pages, 3 figures

References in corpus (5)

• Critical scaling in linear response of frictionless granular packings near jamming
• Non-affine response: jammed packings versus spring networks
• Stiff Polymers, Foams and Fiber Networks
• Growing length and time scales in a suspension of athermal particles
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Cited by in corpus (6)

• Atomic-scale origin of dynamic viscoelastic response and creep in disordered solids
• Dynamical behavior of disordered spring networks
• Non-affine deformation of semiflexible polymer and fiber networks
• Local and global measures of the shear moduli of jammed disk packings
• Strain-controlled critical slowing down in the rheology of disordered networks
• Viscoelastic scaling regimes for marginally-rigid fractal spring networks