Yielding is an absorbing phase transition with vanishing critical fluctuations

Abstract

The yielding transition in athermal complex fluids can be interpreted as an absorbing phase transition between an elastic, absorbing state with high mesoscopic degeneracy and a flowing, active state. We characterize quantitatively this phase transition in an elastoplastic model under fixed applied shear stress, using a finite-size scaling analysis. We find vanishing critical fluctuations of the order parameter (i.e., the shear rate), and relate this property to the convex character of the phase transition ($\beta >1$). We show explicitly that the CDP class is recovered when both properties are relaxed. We locate yielding within a family of models akin to fixed-energy sandpile (FES) models, only with long-range redistribution kernels with zero-modes that result from mechanical equilibrium. For redistribution kernels with sufficiently fast decay, this family of models belong to a short-range universality class distinct from the Conserved Directed Percolation class of usual FES, which is induced by zero modes.

4 pages + Supplementary material

References in corpus (48)

• Dynamics of Viscoplastic Deformation in Amorphous Solids
• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Yield Stress Materials in Soft Condensed Matter
• Amorphous Systems in Athermal, Quasistatic Shear
• Universal scaling behavior of non-equilibrium phase transitions
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
• A mode-coupling theory for the pasty rheology of soft glassy materials
• Elastic consequences of a single plastic event : a step towards the microscopic modeling of the flow of yield stress fluids
• Hyperuniformity of critical absorbing states
• The universality class of absorbing phase transitions with a conserved field
• Slow flows of yield stress fluids: complex spatio-temporal behaviour within a simple elasto-plastic model
• Driving, conservation and absorbing states in sandpiles
• Driving rate dependence of avalanche statistics and shapes at the yielding transition
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• 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
• Residual Stresses in Glasses
• Spontaneous formation of permanent shear bands in a mesoscopic model of flowing disordered matter
• Hydrodynamics of Random-Organizing Hyperuniform Fluids
• Universality of Avalanche Exponents in Plastic Deformation of Disordered Solids
• Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field
• Criticality in the approach to failure in amorphous solids
• Universality Class of the Reversible-Irreversible Transition in Sheared Suspensions
• An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
• Fixed-Energy Sandpiles Belong Generically to Directed Percolation
• Emergence of long-ranged stress correlations at the liquid to glass transition
• Nonlinear Rheology in a Model Biological Tissue
• Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
• Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids
• Emergent Elasticity in Amorphous Solids
• Elastoplasticity Mediates Dynamical Heterogeneity Below the Mode-Coupling Temperature
• 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
• Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states
• Quenched noise and over-active sites in sandpile dynamics
• Spatial clustering of depinning avalanches in presence of long-range interactions
• Long Range Stress Correlations in the Inherent Structures of Liquids at Rest
• Absorbing states and elastic interfaces in random media: two equivalent descriptions of self-organized criticality
• Scaling Theory for Steady State Plastic Flows in Amorphous Solids
• Localization of soft modes at the depinning transition
• Elastic interfaces on disordered substrates: From mean-field depinning to yielding
• Edwards field theory for glasses and granular matter
• Interplay between an absorbing phase transition and synchronization in a driven granular system
• Absorbing phase transitions in systems with mediated interactions
• Criticality at finite strain rate in fluidized soft glassy materials
• Note: Simple argument for emergent anisotropic stress correlations in disordered solids

Cited by in corpus (7)

• Non-equilibrium dynamic hyperuniform states
• Protocol dependence for avalanches under constant stress in elastoplastic models
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Thermally activated intermittent flow in amorphous solids
• Random organization criticality with long-range hydrodynamic interactions
• Avalanches in the Random Organization Model with long-range interactions
• Yielding versus random organization: convex absorbing transitions in soft matter