Avalanche statistics during coarsening dynamics

Abstract

We study the coarsening dynamics of a two dimensional system via lattice Boltzmann numerical simulations. The system under consideration is a biphasic system consisting of domains of a dispersed phase closely packed together in a continuous phase and separated by thin interfaces. Such system is elastic and typically out of equilibrium. The equilibrium state is attained via the coarsening dynamics, wherein the dispersed phase slowly diffuses through the interfaces, causing domains to change in size and eventually rearrange abruptly. The effect of rearrangements is propagated throughout the system via the intrinsic elastic interactions and may cause rearrangements elsewhere, resulting in intermittent bursts of activity and avalanche behaviour. Here we aim at quantitatively characterizing the corresponding avalanche statistics (i.e. size, duration, inter-avalanche time). Despite the coarsening dynamics is triggered by an internal driving mechanism, we find quantitative indications that such avalanche statistics displays scaling-laws very similar to those observed in the response of disordered materials to external loads.

References in corpus (28)

• Unified Scaling Law for Earthquakes
• Long-Term Clustering, Scaling, and Universality in the Temporal Occurrence of Earthquakes
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Statistical similarity between the compression of a porous material and earthquakes
• Scaling exponents for Barkhausen avalanches in polycrystals and amorphous ferromagnets
• Local Distributions and Rate Fluctuations in a Unified Scaling Law for Earthquakes
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• The yielding transition in amorphous solids under oscillatory shear deformation
• Avalanches in Strained Amorphous Solids: Does Inertia Destroy Critical Behavior?
• Elastically driven, intermittent microscopic dynamics in soft solids
• The effect of inertia on sheared disordered solids: Critical scaling of avalanches in two and three dimensions
• Avalanches and clusters in planar crack front propagation
• Mesoscopic lattice Boltzmann modeling of soft-glassy systems: theory and simulations
• Relaxation in yield stress systems through elastically interacting activated events
• Avalanche localization and crossover scaling in amorphous plasticity
• Hysteresis and Avalanches in Two Dimensional Foam Rheology Simulations
• Statistics of Bubble Rearrangements in a Slowly Sheared Two-dimensional Foam
• Inter-event correlations from avalanches hiding below the detection threshold
• The emergence of supramolecular forces from lattice kinetic models of non ideal fluids: applications to the rheology of soft glassy meterials
• The effect of thresholding on temporal avalanche statistics
• Aftershock sequences and seismic-like organization of acoustic events produced by a single propagating crack
• Topics in coarsening phenomena
• Topological rearrangements and stress fluctuations in quasi-two-dimensional hopper flow of emulsions
• Stokes experiment in a liquid foam
• Unexpected spatial distribution of bubble rearrangements in coarsening foams
• Statistics of bubble rearrangement dynamics in a coarsening foam
• Earthquake statistics inferred from plastic events in soft-glassy materials
• GPU Based Detection of Topological Changes in Voronoi Diagrams

Cited by in corpus (8)

• Novel non-equilibrium steady states in multiple emulsions
• TLBfind: a Thermal Lattice Boltzmann code for concentrated emulsions with FINite-size Droplets
• Analysis of the heat transfer fluctuations in the Rayleigh-Bénard convection of concentrated emulsions with finite-size droplets
• Multiple dynamic regimes in a coarsening foam
• Build up of yield stress fluids via chaotic emulsification
• Intermittent thermal convection in jammed emulsions
• Effects of liquid fraction and contact angle on structure and coarsening in two-dimensional foams
• Role of interfacial stabilization in the Rayleigh-Bénard convection of liquid-liquid dispersions