Avalanches in the Random Organization Model with long-range interactions

Abstract

Oscillatory sheared suspensions, when observed stroboscopically, exhibit a reversible-irreversible transition as a function of the strain amplitude, which is a kind of absorbing phase transition. So far studies of this transition focused on global quantities, e.g. quantifying the irreversibility on one side of the transition or the time to reach a reversible state on the other side. Here, motivated by the kin depinning transition, we focus on the intermittent dynamics near the transition. We perform simulations of a modified Random Organization Model (ROM), a minimal particle model which we recently adapted to take into account the generic presence of long-range interactions mediated by the fluid, taking the power-law-decay exponent $\alpha$ as an additional control parameter of the model. We show that at the absorbing phase transition, this model displays power-law-distributed avalanches. We characterize the avalanche statistics in terms of avalanche size, duration and number of particles involved, and we determine the associated exponents. By varying the exponent $\alpha$, the fractal dimension of avalanches crosses space dimension $d$, inducing a qualitative change of the spatial structure of avalanches, from compact avalanches when interactions have a short range, to sparse avalanches when interactions are long-ranged. Finally, we characterize the clusters within the avalanches, which we also find power-law distributed.

11 pages, 17 figures

References in corpus (35)

• Intermittent dislocation flow in viscoplastic deformation
• Universal scaling behavior of non-equilibrium phase transitions
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Hyperuniformity of critical absorbing states
• Oscillatory athermal quasi-static deformation of a model glass
• Mechanical and microscopic properties of the reversible plastic regime in a 2D jammed material
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• Emergent hyperuniformity in periodically-driven emulsions
• Avalanches, precursors and finite size fluctuations in a mesoscopic model of amorphous plasticity
• Avalanche-size distribution at the depinning transition: A numerical test of the theory
• Avalanches and clusters in planar crack front propagation
• Multiple transient memories in experiments on sheared non-Brownian suspensions
• Generic transient memory formation in disordered systems with noise
• Noise, diffusion, and hyperuniformity
• Reversible to Irreversible Flow Transition in Periodically Driven Vortices
• 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
• Strength of Mechanical Memories is Maximal at the Yield Point of a Soft Glass
• Non-equilibrium Phase Transitions with Long-Range Interactions
• Absorbing-state transitions in granular materials close to jamming
• Spatial clustering of depinning avalanches in presence of long-range interactions
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Avalanches and Criticality in Driven Magnetic Skyrmions
• Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions
• Hydrodynamic Irreversibility in Particle Suspensions with Non-Uniform Strain
• Evidence for non-ergodicity in quiescent states of periodically sheared suspensions
• Absorbing phase transitions in systems with mediated interactions
• Yielding is an absorbing phase transition with vanishing critical fluctuations
• Protocol dependence for avalanches under constant stress in elastoplastic models
• On criticality of interface depinning and origin of "bump" in the avalanche distribution
• Rheology of periodically sheared suspensions undergoing reversible-irreversible transition
• Clusters in an epidemic model with long-range dispersal
• Yielding under the microscope: a multi-scale perspective on brittle and ductile behaviors in oscillatory shear
• Random organization criticality with long-range hydrodynamic interactions
• Bridging the Gap Between Avalanche Relaxation and Yielding Rheology

Cited by in corpus (1)

• Yielding versus random organization: convex absorbing transitions in soft matter