# Avalanche statistics during coarsening dynamics

## TL;DR

This study investigates avalanche behavior during the coarsening process in a biphasic elastic system using lattice Boltzmann simulations, revealing scaling laws similar to those in disordered materials under external stress.

## Contribution

It provides a quantitative analysis of avalanche statistics during coarsening, highlighting similarities with disordered materials' response to external loads.

## Key findings

- Avalanche size, duration, and inter-avalanche times follow scaling laws.
- Rearrangements propagate via elastic interactions causing intermittent bursts.
- Avalanche statistics resemble those in disordered materials under external stress.

## 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.