Localized elasticity governs the nonlinear rheology of colloidal supercooled liquids
arXiv:2205.00646 · doi:10.1103/PhysRevX.12.041006
Abstract
We propose a microscopic picture for understanding the nonlinear rheology of supercooled liquids with soft-repulsive potentials. Based on Brownian dynamics simulations of supercooled charge-stabilized colloidal suspensions, our analysis shows that the shear thinning of viscosity (eta) at large enough shear rates (sr), expressed as eta~sr^(-lambda), originates from the evolution of the localized elastic region (LER). An LER is a transient region composed of the first several coordination shells of a reference particle. In response to the external shear, particles within LER undergo nearly affine displacement before the yielding of LER. The characteristic strain (gamma) and size (xi) of LER respectively depend on the shear rate by gamma~sr^epsilon and xi~sr^(-nu). Three exponents, lambda, epsilon, and nu, are related by lambda=1-epsilon=4*nu. This simple relation connects the nonlinear rheology to the elastic properties and the microscopic configurational distortion of the system. The relaxation of the LER is promoted by the large-step nonaffine particle displacement along the extensional direction of the shear geometry with the step length of 0.4 particle diameter. The elastic deformation and the relaxation of the LER are ubiquitous and succesive in the flow, which compose the fundamental process governing the bulk nonlinear viscoelasticity. We apply this model to analyze the Rheo-Small Angle Neutron Scattering data of sheared charge-stabilized colloidal suspensions. It is seen that our model well explains the neutron spectra and the rheological data.
arXiv comment21 pages,15 figures
References in corpus (44)
- Dynamics of Viscoplastic Deformation in Amorphous Solids
- Theoretical perspective on the glass transition and amorphous materials
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
- Rheology of Soft Glassy Materials
- Supercooled Liquids for Pedestrians
- Discontinuous Shear Thickening of Frictional Hard-Sphere Suspensions
- The Physics of the Colloidal Glass Transition
- Amorphous Systems in Athermal, Quasistatic Shear
- Discontinuous shear thickening without inertia in dense non-Brownian suspensions
- Irreversible reorganization in a supercooled liquid originates from localised soft modes
- Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
- Properties of cage rearrangements observed near the colloidal glass transition
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Approximate analytical description of the nonaffine response of amorphous solids
- Subextensive Scaling in the Athermal, Quasistatic Limit of Amorphous Matter in Plastic Shear Flow
- Microscopic mechanism for the shear-thickening of non-Brownian suspensions
- Three-dimensional imaging of colloidal glasses under steady shear
- Elastic consequences of a single plastic event : a step towards the microscopic modeling of the flow of yield stress fluids
- Elementary excitations and crossover phenomenon in liquids
- Avalanches and Dynamical Correlations in supercooled liquids
- Long-range strain correlations in sheared colloidal glasses
- Glass Rheology: From mode-coupling theory to a dynamical yield criterion
- The building blocks of dynamical heterogeneities in dense granular media
- Viscoelasticity and shear flow of concentrated, non-crystallizing colloidal suspensions: Comparison with Mode-Coupling Theory
- Do Athermal Amorphous Solids Exist?
- Nonlinear rheology of colloidal dispersions
- A First-Principles Constitutive Equation for Suspension Rheology
- Supercooled Liquids Under Shear: Theory and Simulation
- Connecting diffusion and dynamical heterogeneities in actively deformed amorphous systems
- Creep and flow of glasses: strain response linked to the spatial distribution of dynamical heterogeneities
- Shear modulus of simulated glass-forming model systems: Effects of boundary condition, temperature and sampling time
- Long-lived neighbors determine the rheological response of glasses
- Start-up Shear of Concentrated Colloidal Hard Spheres: Stresses, Dynamics and Structure
- Microscopic Structural Relaxation in a Sheared Supercooled Colloidal Liquid
- Atomic Mechanism of Flow in Simple Liquids under Shear
- Solidity of Viscous Liquids
- Fingerprinting molecular relaxation in deformed polymers
- Shear-induced anisotropic decay of correlations in hard-sphere colloidal glasses
- First-Principles Constitutive Equation for Suspension Rheology
- Dynamic equivalence between atomic and colloidal liquids
- Solidity of viscous liquids II: Anisotropic flow events
- Dynamical Heterogeneity in a Highly Supercooled Liquid under a Sheared Situation
- Local Elasticity in Nonlinear Rheology of Interacting Colloidal Glasses Revealed by Neutron Scattering and Rheometry
- Dynamic Equivalence between Soft Star Polymers and Hard Spheres
Cited by in corpus (4)
- Solid-that-flows picture of glass-forming liquids
- Tuning residual stress, directional memory and aging in soft glassy materials
- Connecting Shear Thinning and Dynamic Heterogeneity in Supercooled Liquids by Localized Elasticity
- Understanding Flow Behaviors of Supercooled Liquids by Embodying Solid-Liquid Duality at Particle Level