Diffusion in mesoscopic lattice models of amorphous plasticity

Abstract

We present results on tagged particle diffusion in a meso-scale lattice model for sheared amorphous material in athermal quasi-static conditions. We find a short time diffusive regime and a long time diffusive regime whose diffusion coefficients depend on system size in dramatically different ways. At short time, we find that the diffusion coefficient, $D$, scales roughly linearly with system length, $D\sim L^{1.05}$. This short time behavior is consistent with particle-based simulations. The long-time diffusion coefficient scales like $D\sim L^{1.6}$, close to previous studies which found $D\sim L^{1.5}$. Furthermore, we show that the near-field details of the interaction kernel do not affect the short time behavior, but qualitatively and dramatically affect the long time behavior, potentially causing a saturation of the mean-squared displacement at long times. Our finding of a $D\sim L^{1.05}$ short time scaling resolves a long standing puzzle about the disagreement between the diffusion coefficient measured in particle-based models and meso-scale lattice models of amorphous plasticity.

arXiv comment5 pages, 5 figures, Supplementary Information

References in corpus (38)

• Dynamics of Viscoplastic Deformation in Amorphous Solids
• Crackling Noise
• Amorphous Systems in Athermal, Quasistatic Shear
• Intermittent dislocation flow in viscoplastic deformation
• Collective Transport: From Superconductors to Earthquakes
• Local elasticity map and plasticity in a model Lennard-Jones glass
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Bulk Metallic Glasses Deform via Slip Avalanches
• Elastic consequences of a single plastic event : a step towards the microscopic modeling of the flow of yield stress fluids
• Nonequilibrium Dynamics of Interfaces and Lines
• Strain localization in a shear transformation zone model for amorphous solids
• An extremal model for amorphous media plasticity
• Quasi-periodic events in crystal plasticity and the self-organized avalanche oscillator
• From transient fluidization processes to Herschel-Bulkley behavior in simple yield stress fluids
• Avalanches in Strained Amorphous Solids: Does Inertia Destroy Critical Behavior?
• From Individual to Collective Pinning: Effect of Long-range Elastic Interactions
• Avalanches, precursors and finite size fluctuations in a mesoscopic model of amorphous plasticity
• On the density of shear transformation zones in amorphous solids
• The effect of inertia on sheared disordered solids: Critical scaling of avalanches in two and three dimensions
• Nonequilibrium Thermodynamics of Amorphous Materials II: Effective-Temperature Theory
• Universality of Avalanche Exponents in Plastic Deformation of Disordered Solids
• Connecting diffusion and dynamical heterogeneities in actively deformed amorphous systems
• Avalanche localization and crossover scaling in amorphous plasticity
• Nonequilibrium Thermodynamics of Amorphous Materials I: Internal Degrees of Freedom and Volume Deformation
• Time dependent elastic response to a local shear transformation in amorphous solids
• Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity
• Inertia and universality of avalanche statistics: The case of slowly deformed amorphous solids
• Size of Plastic Events in Strained Amorphous Solids at Finite Temperatures
• A minimal integer automaton behind crystal plasticity
• From depinning transition to plastic yielding of amorphous media: A soft modes perspective
• Rheology of athermal amorphous solids: Revisiting simplified scenarios and the concept of mechanical noise temperature
• Barkhausen instabilities from labyrinthine magnetic domains
• Evolution of displacements and strains in sheared amorphous solids
• Scaling Behavior of Driven Interfaces Above the Depinning Transition
• Elastic consequences of a single plastic event: towards a realistic account of structural disorder and shear wave propagation in models of flowing amorphous solids
• A mesoscopic model for the rheology of soft amorphous solids, with application to mi- crochannel flows
• Model for domain wall avalanches in ferromagnetic thin films
• Kinetic roughening of a soft dewetting line under quenched disorder - a numerical study

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