Instantaneous Normal Modes Reveal Structural Signatures for the Herschel-Bulkley Rheology in Sheared Glasses

Abstract

The Herschel-Bulkley law, a universal constitutive relation, has been empirically known to be applicable to a vast range of soft materials, including sheared glasses. Although the Herschel- Bulkley law has attracted public attention, its structural origin has remained an open question. In this letter, by means of atomistic simulation of binary Lennard-Jones glasses, we report that the instantaneous normal modes with negative eigenvalues, or so-called imaginary modes, serve as the structural signatures for the Herschel-Bulkley rheology in sheared glasses.

arXiv comment6 pages, 5figures

References in corpus (24)

• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Amorphous Systems in Athermal, Quasistatic Shear
• Collective Transport: From Superconductors to Earthquakes
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Unified study of glass and jamming rheology in soft particle systems
• A mode-coupling theory for the pasty rheology of soft glassy materials
• Universal Breakdown of Elasticity at the Onset of Material Failure
• Yielding and flow in adhesive and non-adhesive concentrated emulsions
• Driving rate dependence of avalanche statistics and shapes at the yielding transition
• Avalanches in Strained Amorphous Solids: Does Inertia Destroy Critical Behavior?
• The glass transition of soft colloids
• Creep dynamics of elastic manifolds via exact transition pathways
• How active forces influence nonequilibrium glass transitions
• Statistical Physics of Elasto-Plastic Steady States in Amorphous Solids: Finite Temperatures and Strain Rates
• Duality in Shearing Rheology Near the Athermal Jamming Transition
• Universal, additive effect of temperature on the rheology of amorphous solids
• Brittle yielding of amorphous solids at finite shear rates
• Flow transitions in two-dimensional foams
• Unified View of Avalanche Criticality in Sheared Glasses
• Robustness of avalanche dynamics in sheared amorphous solids as probed by transverse diffusion
• Glassy dynamics of a model of bacterial cytoplasm with metabolic activities
• Avalanche Interpretation of the Power-Law Energy Spectrum in Three-Dimensional Dense Granular Flow
• Rheology and dynamical heterogeneity in frictionless beads at jamming density
• Rheology, diffusion, and velocity correlations in the bubble model

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• Instantaneous normal modes of glass-forming liquids during the athermal relaxation process of the steepest descent algorithm
• Ductile and brittle yielding of athermal amorphous solids: a mean-field paradigm beyond the random field Ising model
• Revisiting the question of what instantaneous normal modes tell us about liquid dynamics
• Athermal creep deformation of ultrastable amorphous solids